linear_algebra.matrix.adjugate ⟷ Mathlib.LinearAlgebra.Matrix.Adjugate

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

@@ -604,7 +604,7 @@ theorem adjugate_mul_distrib (A B : Matrix n n α) : adjugate (A ⬝ B) = adjuga
     by
     intro M
     refine' Polynomial.Monic.isRegular _
-    simp only [g, Polynomial.Monic.def', ← Polynomial.leadingCoeff_det_X_one_add_C M, add_comm]
+    simp only [g, Polynomial.Monic.def, ← Polynomial.leadingCoeff_det_X_one_add_C M, add_comm]
   rw [← f'_adj, ← f'_adj, ← f'_adj, ← mul_eq_mul (f' (adjugate (g B))), ← f'.map_mul, mul_eq_mul, ←
     adjugate_mul_distrib_aux _ _ (hu A).left (hu B).left, RingHom.map_adjugate,
     RingHom.map_adjugate, f'_inv, f'_g_mul]

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

@@ -466,7 +466,7 @@ theorem det_adjugate (A : Matrix n n α) : (adjugate A).det = A.det ^ (Fintype.c
   calc
     A'.det * A'.adjugate.det = (A' ⬝ adjugate A').det := (det_mul _ _).symm
     _ = A'.det ^ Fintype.card n := by rw [mul_adjugate, det_smul, det_one, mul_one]
-    _ = A'.det * A'.det ^ (Fintype.card n - 1) := by rw [← pow_succ, h_card]
+    _ = A'.det * A'.det ^ (Fintype.card n - 1) := by rw [← pow_succ', h_card]
 #align matrix.det_adjugate Matrix.det_adjugate
 -/
 
@@ -604,7 +604,7 @@ theorem adjugate_mul_distrib (A B : Matrix n n α) : adjugate (A ⬝ B) = adjuga
     by
     intro M
     refine' Polynomial.Monic.isRegular _
-    simp only [g, Polynomial.Monic.def, ← Polynomial.leadingCoeff_det_X_one_add_C M, add_comm]
+    simp only [g, Polynomial.Monic.def', ← Polynomial.leadingCoeff_det_X_one_add_C M, add_comm]
   rw [← f'_adj, ← f'_adj, ← f'_adj, ← mul_eq_mul (f' (adjugate (g B))), ← f'.map_mul, mul_eq_mul, ←
     adjugate_mul_distrib_aux _ _ (hu A).left (hu B).left, RingHom.map_adjugate,
     RingHom.map_adjugate, f'_inv, f'_g_mul]
@@ -617,7 +617,7 @@ theorem adjugate_pow (A : Matrix n n α) (k : ℕ) : adjugate (A ^ k) = adjugate
   by
   induction' k with k IH
   · simp
-  · rw [pow_succ', mul_eq_mul, adjugate_mul_distrib, IH, ← mul_eq_mul, pow_succ]
+  · rw [pow_succ, mul_eq_mul, adjugate_mul_distrib, IH, ← mul_eq_mul, pow_succ']
 #align matrix.adjugate_pow Matrix.adjugate_pow
 -/
 
@@ -655,7 +655,7 @@ theorem adjugate_adjugate (A : Matrix n n α) (h : Fintype.card n ≠ 1) :
   have is_reg : IsSMulRegular (MvPolynomial (n × n) ℤ) (det A') := fun x y =>
     mul_left_cancel₀ (det_mv_polynomial_X_ne_zero n ℤ)
   apply is_reg.matrix
-  rw [smul_smul, ← pow_succ, h_card', det_smul_adjugate_adjugate]
+  rw [smul_smul, ← pow_succ', h_card', det_smul_adjugate_adjugate]
 #align matrix.adjugate_adjugate Matrix.adjugate_adjugate
 -/
 

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

@@ -529,7 +529,7 @@ theorem det_eq_sum_mul_adjugate_row (A : Matrix n n α) (i : n) :
   suffices det A' = ∑ j : Fin n'.succ, A' (e i) j * adjugate A' j (e i)
     by
     simp_rw [A', det_reindex_self, adjugate_reindex, reindex_apply, submatrix_apply, ← e.sum_comp,
-      Equiv.symm_apply_apply] at this 
+      Equiv.symm_apply_apply] at this
     exact this
   rw [det_succ_row A' (e i)]
   simp_rw [mul_assoc, mul_left_comm _ (A' _ _), ← adjugate_fin_succ_eq_det_submatrix]
@@ -561,7 +561,7 @@ theorem isRegular_of_isLeftRegular_det {A : Matrix n n α} (hA : IsLeftRegular A
     rw [← Matrix.one_mul B, ← Matrix.one_mul C, ← Matrix.smul_mul, ← Matrix.smul_mul, ←
       adjugate_mul, Matrix.mul_assoc, Matrix.mul_assoc, ← mul_eq_mul A, h, mul_eq_mul]
   · intro B C h
-    simp only [mul_eq_mul] at h 
+    simp only [mul_eq_mul] at h
     refine' hA.matrix _
     rw [← Matrix.mul_one B, ← Matrix.mul_one C, ← Matrix.mul_smul, ← Matrix.mul_smul, ←
       mul_adjugate, ← Matrix.mul_assoc, ← Matrix.mul_assoc, h]
@@ -628,7 +628,7 @@ theorem det_smul_adjugate_adjugate (A : Matrix n n α) :
   have : A ⬝ (A.adjugate ⬝ A.adjugate.adjugate) = A ⬝ (A.det ^ (Fintype.card n - 1) • 1) := by
     rw [← adjugate_mul_distrib, adjugate_mul, adjugate_smul, adjugate_one]
   rwa [← Matrix.mul_assoc, mul_adjugate, Matrix.mul_smul, Matrix.mul_one, Matrix.smul_mul,
-    Matrix.one_mul] at this 
+    Matrix.one_mul] at this
 #align matrix.det_smul_adjugate_adjugate Matrix.det_smul_adjugate_adjugate
 -/
 

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

@@ -187,7 +187,7 @@ theorem cramer_zero [Nontrivial n] : cramer (0 : Matrix n n α) = 0 :=
 /-- Use linearity of `cramer` to take it out of a summation. -/
 theorem sum_cramer {β} (s : Finset β) (f : β → n → α) :
     ∑ x in s, cramer A (f x) = cramer A (∑ x in s, f x) :=
-  (LinearMap.map_sum (cramer A)).symm
+  (map_sum (cramer A)).symm
 #align matrix.sum_cramer Matrix.sum_cramer
 -/
 

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

@@ -3,10 +3,10 @@ Copyright (c) 2019 Anne Baanen. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Anne Baanen
 -/
-import Mathbin.Algebra.Regular.Basic
-import Mathbin.LinearAlgebra.Matrix.MvPolynomial
-import Mathbin.LinearAlgebra.Matrix.Polynomial
-import Mathbin.RingTheory.Polynomial.Basic
+import Algebra.Regular.Basic
+import LinearAlgebra.Matrix.MvPolynomial
+import LinearAlgebra.Matrix.Polynomial
+import RingTheory.Polynomial.Basic
 
 #align_import linear_algebra.matrix.adjugate from "leanprover-community/mathlib"@"a99f85220eaf38f14f94e04699943e185a5e1d1a"
 

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

@@ -2,17 +2,14 @@
 Copyright (c) 2019 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.adjugate
-! leanprover-community/mathlib commit a99f85220eaf38f14f94e04699943e185a5e1d1a
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Algebra.Regular.Basic
 import Mathbin.LinearAlgebra.Matrix.MvPolynomial
 import Mathbin.LinearAlgebra.Matrix.Polynomial
 import Mathbin.RingTheory.Polynomial.Basic
 
+#align_import linear_algebra.matrix.adjugate from "leanprover-community/mathlib"@"a99f85220eaf38f14f94e04699943e185a5e1d1a"
+
 /-!
 # Cramer's rule and adjugate matrices
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/2fe465deb81bcd7ccafa065bb686888a82f15372

@@ -513,7 +513,7 @@ theorem adjugate_fin_two_of (a b c d : α) : adjugate !![a, b; c, d] = !![d, -b;
 
 #print Matrix.adjugate_fin_succ_eq_det_submatrix /-
 theorem adjugate_fin_succ_eq_det_submatrix {n : ℕ} (A : Matrix (Fin n.succ) (Fin n.succ) α) (i j) :
-    adjugate A i j = (-1) ^ (j + i : ℕ) * det (A.submatrix j.succAbove i.succAbove) :=
+    adjugate A i j = (-1) ^ (j + i : ℕ) * det (A.submatrix j.succAboveEmb i.succAboveEmb) :=
   by
   simp_rw [adjugate_apply, det_succ_row _ j, update_row_self, submatrix_update_row_succ_above]
   rw [Fintype.sum_eq_single i fun h hjk => _, Pi.single_eq_same, mul_one]

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

@@ -154,7 +154,7 @@ theorem cramer_row_self (i : n) (h : ∀ j, b j = A j i) : A.cramer b = Pi.singl
 @[simp]
 theorem cramer_one : cramer (1 : Matrix n n α) = 1 :=
   by
-  ext (i j)
+  ext i j
   convert congr_fun (cramer_row_self (1 : Matrix n n α) (Pi.single i 1) i _) j
   · simp
   · intro j; rw [Matrix.one_eq_pi_single, Pi.single_comm]
@@ -178,7 +178,7 @@ theorem cramer_subsingleton_apply [Subsingleton n] (A : Matrix n n α) (b : n 
 #print Matrix.cramer_zero /-
 theorem cramer_zero [Nontrivial n] : cramer (0 : Matrix n n α) = 0 :=
   by
-  ext (i j)
+  ext i j
   obtain ⟨j', hj'⟩ : ∃ j', j' ≠ j := exists_ne j
   apply det_eq_zero_of_column_eq_zero j'
   intro j''
@@ -265,7 +265,7 @@ theorem adjugate_apply (A : Matrix n n α) (i j : n) :
 #print Matrix.adjugate_transpose /-
 theorem adjugate_transpose (A : Matrix n n α) : (adjugate A)ᵀ = adjugate Aᵀ :=
   by
-  ext (i j)
+  ext i j
   rw [transpose_apply, adjugate_apply, adjugate_apply, update_row_transpose, det_transpose]
   rw [det_apply', det_apply']
   apply Finset.sum_congr rfl
@@ -300,7 +300,7 @@ theorem adjugate_transpose (A : Matrix n n α) : (adjugate A)ᵀ = adjugate Aᵀ
 theorem adjugate_submatrix_equiv_self (e : n ≃ m) (A : Matrix m m α) :
     adjugate (A.submatrix e e) = (adjugate A).submatrix e e :=
   by
-  ext (i j)
+  ext i j
   rw [adjugate_apply, submatrix_apply, adjugate_apply, ← det_submatrix_equiv_self e,
     update_row_submatrix_equiv]
   congr
@@ -341,7 +341,7 @@ theorem mul_adjugate_apply (A : Matrix n n α) (i j k) :
 #print Matrix.mul_adjugate /-
 theorem mul_adjugate (A : Matrix n n α) : A ⬝ adjugate A = A.det • 1 :=
   by
-  ext (i j)
+  ext i j
   rw [mul_apply, Pi.smul_apply, Pi.smul_apply, one_apply, smul_eq_mul, mul_boole]
   simp [mul_adjugate_apply, sum_cramer_apply, cramer_transpose_row_self, Pi.single_apply, eq_comm]
 #align matrix.mul_adjugate Matrix.mul_adjugate
@@ -378,7 +378,7 @@ theorem mulVec_cramer (A : Matrix n n α) (b : n → α) : A.mulVec (cramer A b)
 #print Matrix.adjugate_subsingleton /-
 theorem adjugate_subsingleton [Subsingleton n] (A : Matrix n n α) : adjugate A = 1 :=
   by
-  ext (i j)
+  ext i j
   simp [Subsingleton.elim i j, adjugate_apply, det_eq_elem_of_subsingleton _ i]
 #align matrix.adjugate_subsingleton Matrix.adjugate_subsingleton
 -/
@@ -395,7 +395,7 @@ theorem adjugate_eq_one_of_card_eq_one {A : Matrix n n α} (h : Fintype.card n =
 @[simp]
 theorem adjugate_zero [Nontrivial n] : adjugate (0 : Matrix n n α) = 0 :=
   by
-  ext (i j)
+  ext i j
   obtain ⟨j', hj'⟩ : ∃ j', j' ≠ j := exists_ne j
   apply det_eq_zero_of_column_eq_zero j'
   intro j''
@@ -433,7 +433,7 @@ theorem adjugate_diagonal (v : n → α) :
 theorem RingHom.map_adjugate {R S : Type _} [CommRing R] [CommRing S] (f : R →+* S)
     (M : Matrix n n R) : f.mapMatrix M.adjugate = Matrix.adjugate (f.mapMatrix M) :=
   by
-  ext (i k)
+  ext i k
   have : Pi.single i (1 : S) = f ∘ Pi.single i 1 :=
     by
     rw [← f.map_one]
@@ -491,7 +491,7 @@ theorem adjugate_fin_one (A : Matrix (Fin 1) (Fin 1) α) : adjugate A = 1 :=
 theorem adjugate_fin_two (A : Matrix (Fin 2) (Fin 2) α) :
     adjugate A = !![A 1 1, -A 0 1; -A 1 0, A 0 0] :=
   by
-  ext (i j)
+  ext i j
   rw [adjugate_apply, det_fin_two]
   fin_cases i <;> fin_cases j <;>
     simp only [one_mul, Fin.one_eq_zero_iff, Pi.single_eq_same, MulZeroClass.mul_zero, sub_zero,

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

@@ -113,14 +113,19 @@ def cramer (A : Matrix n n α) : (n → α) →ₗ[α] n → α :=
 #align matrix.cramer Matrix.cramer
 -/
 
+#print Matrix.cramer_apply /-
 theorem cramer_apply (i : n) : cramer A b i = (A.updateColumn i b).det :=
   rfl
 #align matrix.cramer_apply Matrix.cramer_apply
+-/
 
+#print Matrix.cramer_transpose_apply /-
 theorem cramer_transpose_apply (i : n) : cramer Aᵀ b i = (A.updateRow i b).det := by
   rw [cramer_apply, update_column_transpose, det_transpose]
 #align matrix.cramer_transpose_apply Matrix.cramer_transpose_apply
+-/
 
+#print Matrix.cramer_transpose_row_self /-
 theorem cramer_transpose_row_self (i : n) : Aᵀ.cramer (A i) = Pi.single i A.det :=
   by
   ext j
@@ -134,14 +139,18 @@ theorem cramer_transpose_row_self (i : n) : Aᵀ.cramer (A i) = Pi.single i A.de
     apply det_zero_of_row_eq h
     rw [update_row_self, update_row_ne (Ne.symm h)]
 #align matrix.cramer_transpose_row_self Matrix.cramer_transpose_row_self
+-/
 
+#print Matrix.cramer_row_self /-
 theorem cramer_row_self (i : n) (h : ∀ j, b j = A j i) : A.cramer b = Pi.single i A.det :=
   by
   rw [← transpose_transpose A, det_transpose]
   convert cramer_transpose_row_self Aᵀ i
   exact funext h
 #align matrix.cramer_row_self Matrix.cramer_row_self
+-/
 
+#print Matrix.cramer_one /-
 @[simp]
 theorem cramer_one : cramer (1 : Matrix n n α) = 1 :=
   by
@@ -150,17 +159,23 @@ theorem cramer_one : cramer (1 : Matrix n n α) = 1 :=
   · simp
   · intro j; rw [Matrix.one_eq_pi_single, Pi.single_comm]
 #align matrix.cramer_one Matrix.cramer_one
+-/
 
+#print Matrix.cramer_smul /-
 theorem cramer_smul (r : α) (A : Matrix n n α) :
     cramer (r • A) = r ^ (Fintype.card n - 1) • cramer A :=
   LinearMap.ext fun b => funext fun _ => det_updateColumn_smul' _ _ _ _
 #align matrix.cramer_smul Matrix.cramer_smul
+-/
 
+#print Matrix.cramer_subsingleton_apply /-
 @[simp]
 theorem cramer_subsingleton_apply [Subsingleton n] (A : Matrix n n α) (b : n → α) (i : n) :
     cramer A b i = b i := by rw [cramer_apply, det_eq_elem_of_subsingleton _ i, update_column_self]
 #align matrix.cramer_subsingleton_apply Matrix.cramer_subsingleton_apply
+-/
 
+#print Matrix.cramer_zero /-
 theorem cramer_zero [Nontrivial n] : cramer (0 : Matrix n n α) = 0 :=
   by
   ext (i j)
@@ -169,13 +184,17 @@ theorem cramer_zero [Nontrivial n] : cramer (0 : Matrix n n α) = 0 :=
   intro j''
   simp [update_column_ne hj']
 #align matrix.cramer_zero Matrix.cramer_zero
+-/
 
+#print Matrix.sum_cramer /-
 /-- Use linearity of `cramer` to take it out of a summation. -/
 theorem sum_cramer {β} (s : Finset β) (f : β → n → α) :
     ∑ x in s, cramer A (f x) = cramer A (∑ x in s, f x) :=
   (LinearMap.map_sum (cramer A)).symm
 #align matrix.sum_cramer Matrix.sum_cramer
+-/
 
+#print Matrix.sum_cramer_apply /-
 /-- Use linearity of `cramer` and vector evaluation to take `cramer A _ i` out of a summation. -/
 theorem sum_cramer_apply {β} (s : Finset β) (f : n → β → α) (i : n) :
     ∑ x in s, cramer A (fun j => f j x) i = cramer A (fun j : n => ∑ x in s, f j x) i :=
@@ -185,7 +204,9 @@ theorem sum_cramer_apply {β} (s : Finset β) (f : n → β → α) (i : n) :
     _ = cramer A (fun j : n => ∑ x in s, f j x) i := by rw [sum_cramer, cramer_apply]; congr with j;
       apply Finset.sum_apply
 #align matrix.sum_cramer_apply Matrix.sum_cramer_apply
+-/
 
+#print Matrix.cramer_submatrix_equiv /-
 theorem cramer_submatrix_equiv (A : Matrix m m α) (e : n ≃ m) (b : n → α) :
     cramer (A.submatrix e e) b = cramer A (b ∘ e.symm) ∘ e :=
   by
@@ -193,11 +214,14 @@ theorem cramer_submatrix_equiv (A : Matrix m m α) (e : n ≃ m) (b : n → α)
   simp_rw [Function.comp_apply, cramer_apply, update_column_submatrix_equiv,
     det_submatrix_equiv_self e]
 #align matrix.cramer_submatrix_equiv Matrix.cramer_submatrix_equiv
+-/
 
+#print Matrix.cramer_reindex /-
 theorem cramer_reindex (e : m ≃ n) (A : Matrix m m α) (b : n → α) :
     cramer (reindex e e A) b = cramer A (b ∘ e) ∘ e.symm :=
   cramer_submatrix_equiv _ _ _
 #align matrix.cramer_reindex Matrix.cramer_reindex
+-/
 
 end Cramer
 
@@ -231,10 +255,12 @@ theorem adjugate_def (A : Matrix n n α) : adjugate A = of fun i => cramer Aᵀ
 #align matrix.adjugate_def Matrix.adjugate_def
 -/
 
+#print Matrix.adjugate_apply /-
 theorem adjugate_apply (A : Matrix n n α) (i j : n) :
     adjugate A i j = (A.updateRow j (Pi.single i 1)).det := by
   rw [adjugate_def, of_apply, cramer_apply, update_column_transpose, det_transpose]
 #align matrix.adjugate_apply Matrix.adjugate_apply
+-/
 
 #print Matrix.adjugate_transpose /-
 theorem adjugate_transpose (A : Matrix n n α) : (adjugate A)ᵀ = adjugate Aᵀ :=
@@ -289,6 +315,7 @@ theorem adjugate_reindex (e : m ≃ n) (A : Matrix m m α) :
 #align matrix.adjugate_reindex Matrix.adjugate_reindex
 -/
 
+#print Matrix.cramer_eq_adjugate_mulVec /-
 /-- Since the map `b ↦ cramer A b` is linear in `b`, it must be multiplication by some matrix. This
 matrix is `A.adjugate`. -/
 theorem cramer_eq_adjugate_mulVec (A : Matrix n n α) (b : n → α) :
@@ -301,34 +328,44 @@ theorem cramer_eq_adjugate_mulVec (A : Matrix n n α) (b : n → α) :
   nth_rw 1 [this]; ext k
   simp [mul_vec, dot_product, mul_comm]
 #align matrix.cramer_eq_adjugate_mul_vec Matrix.cramer_eq_adjugate_mulVec
+-/
 
+#print Matrix.mul_adjugate_apply /-
 theorem mul_adjugate_apply (A : Matrix n n α) (i j k) :
     A i k * adjugate A k j = cramer Aᵀ (Pi.single k (A i k)) j := by
   erw [← smul_eq_mul, ← Pi.smul_apply, ← LinearMap.map_smul, ← Pi.single_smul', smul_eq_mul,
     mul_one]
 #align matrix.mul_adjugate_apply Matrix.mul_adjugate_apply
+-/
 
+#print Matrix.mul_adjugate /-
 theorem mul_adjugate (A : Matrix n n α) : A ⬝ adjugate A = A.det • 1 :=
   by
   ext (i j)
   rw [mul_apply, Pi.smul_apply, Pi.smul_apply, one_apply, smul_eq_mul, mul_boole]
   simp [mul_adjugate_apply, sum_cramer_apply, cramer_transpose_row_self, Pi.single_apply, eq_comm]
 #align matrix.mul_adjugate Matrix.mul_adjugate
+-/
 
+#print Matrix.adjugate_mul /-
 theorem adjugate_mul (A : Matrix n n α) : adjugate A ⬝ A = A.det • 1 :=
   calc
     adjugate A ⬝ A = (Aᵀ ⬝ adjugate Aᵀ)ᵀ := by
       rw [← adjugate_transpose, ← transpose_mul, transpose_transpose]
     _ = A.det • 1 := by rw [mul_adjugate Aᵀ, det_transpose, transpose_smul, transpose_one]
 #align matrix.adjugate_mul Matrix.adjugate_mul
+-/
 
+#print Matrix.adjugate_smul /-
 theorem adjugate_smul (r : α) (A : Matrix n n α) :
     adjugate (r • A) = r ^ (Fintype.card n - 1) • adjugate A :=
   by
   rw [adjugate, adjugate, transpose_smul, cramer_smul]
   rfl
 #align matrix.adjugate_smul Matrix.adjugate_smul
+-/
 
+#print Matrix.mulVec_cramer /-
 /-- A stronger form of **Cramer's rule** that allows us to solve some instances of `A ⬝ x = b` even
 if the determinant is not a unit. A sufficient (but still not necessary) condition is that `A.det`
 divides `b`. -/
@@ -336,19 +373,25 @@ divides `b`. -/
 theorem mulVec_cramer (A : Matrix n n α) (b : n → α) : A.mulVec (cramer A b) = A.det • b := by
   rw [cramer_eq_adjugate_mul_vec, mul_vec_mul_vec, mul_adjugate, smul_mul_vec_assoc, one_mul_vec]
 #align matrix.mul_vec_cramer Matrix.mulVec_cramer
+-/
 
+#print Matrix.adjugate_subsingleton /-
 theorem adjugate_subsingleton [Subsingleton n] (A : Matrix n n α) : adjugate A = 1 :=
   by
   ext (i j)
   simp [Subsingleton.elim i j, adjugate_apply, det_eq_elem_of_subsingleton _ i]
 #align matrix.adjugate_subsingleton Matrix.adjugate_subsingleton
+-/
 
+#print Matrix.adjugate_eq_one_of_card_eq_one /-
 theorem adjugate_eq_one_of_card_eq_one {A : Matrix n n α} (h : Fintype.card n = 1) :
     adjugate A = 1 :=
   haveI : Subsingleton n := fintype.card_le_one_iff_subsingleton.mp h.le
   adjugate_subsingleton _
 #align matrix.adjugate_eq_one_of_card_eq_one Matrix.adjugate_eq_one_of_card_eq_one
+-/
 
+#print Matrix.adjugate_zero /-
 @[simp]
 theorem adjugate_zero [Nontrivial n] : adjugate (0 : Matrix n n α) = 0 :=
   by
@@ -358,12 +401,16 @@ theorem adjugate_zero [Nontrivial n] : adjugate (0 : Matrix n n α) = 0 :=
   intro j''
   simp [update_column_ne hj']
 #align matrix.adjugate_zero Matrix.adjugate_zero
+-/
 
+#print Matrix.adjugate_one /-
 @[simp]
 theorem adjugate_one : adjugate (1 : Matrix n n α) = 1 := by ext;
   simp [adjugate_def, Matrix.one_apply, Pi.single_apply, eq_comm]
 #align matrix.adjugate_one Matrix.adjugate_one
+-/
 
+#print Matrix.adjugate_diagonal /-
 @[simp]
 theorem adjugate_diagonal (v : n → α) :
     adjugate (diagonal v) = diagonal fun i => ∏ j in Finset.univ.eraseₓ i, v j :=
@@ -380,7 +427,9 @@ theorem adjugate_diagonal (v : n → α) :
     · rw [update_column_self, Pi.single_eq_of_ne' hij]
     · rw [update_column_ne hjk, diagonal_apply_ne' _ hjk]
 #align matrix.adjugate_diagonal Matrix.adjugate_diagonal
+-/
 
+#print RingHom.map_adjugate /-
 theorem RingHom.map_adjugate {R S : Type _} [CommRing R] [CommRing S] (f : R →+* S)
     (M : Matrix n n R) : f.mapMatrix M.adjugate = Matrix.adjugate (f.mapMatrix M) :=
   by
@@ -392,13 +441,17 @@ theorem RingHom.map_adjugate {R S : Type _} [CommRing R] [CommRing S] (f : R →
   rw [adjugate_apply, RingHom.mapMatrix_apply, map_apply, RingHom.mapMatrix_apply, this, ←
     map_update_row, ← RingHom.mapMatrix_apply, ← RingHom.map_det, ← adjugate_apply]
 #align ring_hom.map_adjugate RingHom.map_adjugate
+-/
 
+#print AlgHom.map_adjugate /-
 theorem AlgHom.map_adjugate {R A B : Type _} [CommSemiring R] [CommRing A] [CommRing B]
     [Algebra R A] [Algebra R B] (f : A →ₐ[R] B) (M : Matrix n n A) :
     f.mapMatrix M.adjugate = Matrix.adjugate (f.mapMatrix M) :=
   f.toRingHom.map_adjugate _
 #align alg_hom.map_adjugate AlgHom.map_adjugate
+-/
 
+#print Matrix.det_adjugate /-
 theorem det_adjugate (A : Matrix n n α) : (adjugate A).det = A.det ^ (Fintype.card n - 1) :=
   by
   -- get rid of the `- 1`
@@ -418,17 +471,23 @@ theorem det_adjugate (A : Matrix n n α) : (adjugate A).det = A.det ^ (Fintype.c
     _ = A'.det ^ Fintype.card n := by rw [mul_adjugate, det_smul, det_one, mul_one]
     _ = A'.det * A'.det ^ (Fintype.card n - 1) := by rw [← pow_succ, h_card]
 #align matrix.det_adjugate Matrix.det_adjugate
+-/
 
+#print Matrix.adjugate_fin_zero /-
 @[simp]
 theorem adjugate_fin_zero (A : Matrix (Fin 0) (Fin 0) α) : adjugate A = 0 :=
   Subsingleton.elim _ _
 #align matrix.adjugate_fin_zero Matrix.adjugate_fin_zero
+-/
 
+#print Matrix.adjugate_fin_one /-
 @[simp]
 theorem adjugate_fin_one (A : Matrix (Fin 1) (Fin 1) α) : adjugate A = 1 :=
   adjugate_subsingleton A
 #align matrix.adjugate_fin_one Matrix.adjugate_fin_one
+-/
 
+#print Matrix.adjugate_fin_two /-
 theorem adjugate_fin_two (A : Matrix (Fin 2) (Fin 2) α) :
     adjugate A = !![A 1 1, -A 0 1; -A 1 0, A 0 0] :=
   by
@@ -443,6 +502,7 @@ theorem adjugate_fin_two (A : Matrix (Fin 2) (Fin 2) α) :
       cons_val', cons_val_fin_one, cons_val_one, head_fin_const, neg_inj, eq_self_iff_true,
       cons_val_zero, head_cons, mul_one]
 #align matrix.adjugate_fin_two Matrix.adjugate_fin_two
+-/
 
 #print Matrix.adjugate_fin_two_of /-
 @[simp]
@@ -461,6 +521,7 @@ theorem adjugate_fin_succ_eq_det_submatrix {n : ℕ} (A : Matrix (Fin n.succ) (F
 #align matrix.adjugate_fin_succ_eq_det_submatrix Matrix.adjugate_fin_succ_eq_det_submatrix
 -/
 
+#print Matrix.det_eq_sum_mul_adjugate_row /-
 theorem det_eq_sum_mul_adjugate_row (A : Matrix n n α) (i : n) :
     det A = ∑ j : n, A i j * adjugate A j i :=
   by
@@ -476,11 +537,14 @@ theorem det_eq_sum_mul_adjugate_row (A : Matrix n n α) (i : n) :
   rw [det_succ_row A' (e i)]
   simp_rw [mul_assoc, mul_left_comm _ (A' _ _), ← adjugate_fin_succ_eq_det_submatrix]
 #align matrix.det_eq_sum_mul_adjugate_row Matrix.det_eq_sum_mul_adjugate_row
+-/
 
+#print Matrix.det_eq_sum_mul_adjugate_col /-
 theorem det_eq_sum_mul_adjugate_col (A : Matrix n n α) (j : n) :
     det A = ∑ i : n, A i j * adjugate A j i := by
   simpa only [det_transpose, ← adjugate_transpose] using det_eq_sum_mul_adjugate_row Aᵀ j
 #align matrix.det_eq_sum_mul_adjugate_col Matrix.det_eq_sum_mul_adjugate_col
+-/
 
 #print Matrix.adjugate_conjTranspose /-
 theorem adjugate_conjTranspose [StarRing α] (A : Matrix n n α) : A.adjugateᴴ = adjugate Aᴴ :=
@@ -491,6 +555,7 @@ theorem adjugate_conjTranspose [StarRing α] (A : Matrix n n α) : A.adjugateᴴ
 #align matrix.adjugate_conj_transpose Matrix.adjugate_conjTranspose
 -/
 
+#print Matrix.isRegular_of_isLeftRegular_det /-
 theorem isRegular_of_isLeftRegular_det {A : Matrix n n α} (hA : IsLeftRegular A.det) :
     IsRegular A := by
   constructor
@@ -504,7 +569,9 @@ theorem isRegular_of_isLeftRegular_det {A : Matrix n n α} (hA : IsLeftRegular A
     rw [← Matrix.mul_one B, ← Matrix.mul_one C, ← Matrix.mul_smul, ← Matrix.mul_smul, ←
       mul_adjugate, ← Matrix.mul_assoc, ← Matrix.mul_assoc, h]
 #align matrix.is_regular_of_is_left_regular_det Matrix.isRegular_of_isLeftRegular_det
+-/
 
+#print Matrix.adjugate_mul_distrib_aux /-
 theorem adjugate_mul_distrib_aux (A B : Matrix n n α) (hA : IsLeftRegular A.det)
     (hB : IsLeftRegular B.det) : adjugate (A ⬝ B) = adjugate B ⬝ adjugate A :=
   by
@@ -515,7 +582,9 @@ theorem adjugate_mul_distrib_aux (A B : Matrix n n α) (hA : IsLeftRegular A.det
   rw [mul_eq_mul, mul_adjugate, mul_eq_mul, Matrix.mul_assoc, ← Matrix.mul_assoc B, mul_adjugate,
     smul_mul, Matrix.one_mul, mul_smul, mul_adjugate, smul_smul, mul_comm, ← det_mul]
 #align matrix.adjugate_mul_distrib_aux Matrix.adjugate_mul_distrib_aux
+-/
 
+#print Matrix.adjugate_mul_distrib /-
 /-- Proof follows from "The trace Cayley-Hamilton theorem" by Darij Grinberg, Section 5.3
 -/
 theorem adjugate_mul_distrib (A B : Matrix n n α) : adjugate (A ⬝ B) = adjugate B ⬝ adjugate A :=
@@ -543,7 +612,9 @@ theorem adjugate_mul_distrib (A B : Matrix n n α) : adjugate (A ⬝ B) = adjuga
     adjugate_mul_distrib_aux _ _ (hu A).left (hu B).left, RingHom.map_adjugate,
     RingHom.map_adjugate, f'_inv, f'_g_mul]
 #align matrix.adjugate_mul_distrib Matrix.adjugate_mul_distrib
+-/
 
+#print Matrix.adjugate_pow /-
 @[simp]
 theorem adjugate_pow (A : Matrix n n α) (k : ℕ) : adjugate (A ^ k) = adjugate A ^ k :=
   by
@@ -551,7 +622,9 @@ theorem adjugate_pow (A : Matrix n n α) (k : ℕ) : adjugate (A ^ k) = adjugate
   · simp
   · rw [pow_succ', mul_eq_mul, adjugate_mul_distrib, IH, ← mul_eq_mul, pow_succ]
 #align matrix.adjugate_pow Matrix.adjugate_pow
+-/
 
+#print Matrix.det_smul_adjugate_adjugate /-
 theorem det_smul_adjugate_adjugate (A : Matrix n n α) :
     det A • adjugate (adjugate A) = det A ^ (Fintype.card n - 1) • A :=
   by
@@ -560,7 +633,9 @@ theorem det_smul_adjugate_adjugate (A : Matrix n n α) :
   rwa [← Matrix.mul_assoc, mul_adjugate, Matrix.mul_smul, Matrix.mul_one, Matrix.smul_mul,
     Matrix.one_mul] at this 
 #align matrix.det_smul_adjugate_adjugate Matrix.det_smul_adjugate_adjugate
+-/
 
+#print Matrix.adjugate_adjugate /-
 /-- Note that this is not true for `fintype.card n = 1` since `1 - 2 = 0` and not `-1`. -/
 theorem adjugate_adjugate (A : Matrix n n α) (h : Fintype.card n ≠ 1) :
     adjugate (adjugate A) = det A ^ (Fintype.card n - 2) • A :=
@@ -585,12 +660,15 @@ theorem adjugate_adjugate (A : Matrix n n α) (h : Fintype.card n ≠ 1) :
   apply is_reg.matrix
   rw [smul_smul, ← pow_succ, h_card', det_smul_adjugate_adjugate]
 #align matrix.adjugate_adjugate Matrix.adjugate_adjugate
+-/
 
+#print Matrix.adjugate_adjugate' /-
 /-- A weaker version of `matrix.adjugate_adjugate` that uses `nontrivial`. -/
 theorem adjugate_adjugate' (A : Matrix n n α) [Nontrivial n] :
     adjugate (adjugate A) = det A ^ (Fintype.card n - 2) • A :=
   adjugate_adjugate _ <| Fintype.one_lt_card.ne'
 #align matrix.adjugate_adjugate' Matrix.adjugate_adjugate'
+-/
 
 end Adjugate
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/a3e83f0fa4391c8740f7d773a7a9b74e311ae2a3

@@ -172,15 +172,15 @@ theorem cramer_zero [Nontrivial n] : cramer (0 : Matrix n n α) = 0 :=
 
 /-- Use linearity of `cramer` to take it out of a summation. -/
 theorem sum_cramer {β} (s : Finset β) (f : β → n → α) :
-    (∑ x in s, cramer A (f x)) = cramer A (∑ x in s, f x) :=
+    ∑ x in s, cramer A (f x) = cramer A (∑ x in s, f x) :=
   (LinearMap.map_sum (cramer A)).symm
 #align matrix.sum_cramer Matrix.sum_cramer
 
 /-- Use linearity of `cramer` and vector evaluation to take `cramer A _ i` out of a summation. -/
 theorem sum_cramer_apply {β} (s : Finset β) (f : n → β → α) (i : n) :
-    (∑ x in s, cramer A (fun j => f j x) i) = cramer A (fun j : n => ∑ x in s, f j x) i :=
+    ∑ x in s, cramer A (fun j => f j x) i = cramer A (fun j : n => ∑ x in s, f j x) i :=
   calc
-    (∑ x in s, cramer A (fun j => f j x) i) = (∑ x in s, cramer A fun j => f j x) i :=
+    ∑ x in s, cramer A (fun j => f j x) i = (∑ x in s, cramer A fun j => f j x) i :=
       (Finset.sum_apply i s _).symm
     _ = cramer A (fun j : n => ∑ x in s, f j x) i := by rw [sum_cramer, cramer_apply]; congr with j;
       apply Finset.sum_apply
@@ -256,7 +256,7 @@ theorem adjugate_transpose (A : Matrix n n α) : (adjugate A)ᵀ = adjugate Aᵀ
     congr 1 with rfl
     rw [Pi.single_eq_same, Pi.single_eq_same]
   · -- Otherwise, we need to show that there is a `0` somewhere in the product.
-    have : (∏ j' : n, update_column A j (Pi.single i 1) (σ j') j') = 0 :=
+    have : ∏ j' : n, update_column A j (Pi.single i 1) (σ j') j' = 0 :=
       by
       apply prod_eq_zero (mem_univ j)
       rw [update_column_self, Pi.single_eq_of_ne' h]

mathlib commit https://github.com/leanprover-community/mathlib/commit/7e5137f579de09a059a5ce98f364a04e221aabf0

@@ -184,7 +184,6 @@ theorem sum_cramer_apply {β} (s : Finset β) (f : n → β → α) (i : n) :
       (Finset.sum_apply i s _).symm
     _ = cramer A (fun j : n => ∑ x in s, f j x) i := by rw [sum_cramer, cramer_apply]; congr with j;
       apply Finset.sum_apply
-    
 #align matrix.sum_cramer_apply Matrix.sum_cramer_apply
 
 theorem cramer_submatrix_equiv (A : Matrix m m α) (e : n ≃ m) (b : n → α) :
@@ -321,7 +320,6 @@ theorem adjugate_mul (A : Matrix n n α) : adjugate A ⬝ A = A.det • 1 :=
     adjugate A ⬝ A = (Aᵀ ⬝ adjugate Aᵀ)ᵀ := by
       rw [← adjugate_transpose, ← transpose_mul, transpose_transpose]
     _ = A.det • 1 := by rw [mul_adjugate Aᵀ, det_transpose, transpose_smul, transpose_one]
-    
 #align matrix.adjugate_mul Matrix.adjugate_mul
 
 theorem adjugate_smul (r : α) (A : Matrix n n α) :
@@ -419,7 +417,6 @@ theorem det_adjugate (A : Matrix n n α) : (adjugate A).det = A.det ^ (Fintype.c
     A'.det * A'.adjugate.det = (A' ⬝ adjugate A').det := (det_mul _ _).symm
     _ = A'.det ^ Fintype.card n := by rw [mul_adjugate, det_smul, det_one, mul_one]
     _ = A'.det * A'.det ^ (Fintype.card n - 1) := by rw [← pow_succ, h_card]
-    
 #align matrix.det_adjugate Matrix.det_adjugate
 
 @[simp]

mathlib commit https://github.com/leanprover-community/mathlib/commit/5f25c089cb34db4db112556f23c50d12da81b297

@@ -454,6 +454,7 @@ theorem adjugate_fin_two_of (a b c d : α) : adjugate !![a, b; c, d] = !![d, -b;
 #align matrix.adjugate_fin_two_of Matrix.adjugate_fin_two_of
 -/
 
+#print Matrix.adjugate_fin_succ_eq_det_submatrix /-
 theorem adjugate_fin_succ_eq_det_submatrix {n : ℕ} (A : Matrix (Fin n.succ) (Fin n.succ) α) (i j) :
     adjugate A i j = (-1) ^ (j + i : ℕ) * det (A.submatrix j.succAbove i.succAbove) :=
   by
@@ -461,6 +462,7 @@ theorem adjugate_fin_succ_eq_det_submatrix {n : ℕ} (A : Matrix (Fin n.succ) (F
   rw [Fintype.sum_eq_single i fun h hjk => _, Pi.single_eq_same, mul_one]
   rw [Pi.single_eq_of_ne hjk, MulZeroClass.mul_zero, MulZeroClass.zero_mul]
 #align matrix.adjugate_fin_succ_eq_det_submatrix Matrix.adjugate_fin_succ_eq_det_submatrix
+-/
 
 theorem det_eq_sum_mul_adjugate_row (A : Matrix n n α) (i : n) :
     det A = ∑ j : n, A i j * adjugate A j i :=

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

@@ -472,7 +472,7 @@ theorem det_eq_sum_mul_adjugate_row (A : Matrix n n α) (i : n) :
   suffices det A' = ∑ j : Fin n'.succ, A' (e i) j * adjugate A' j (e i)
     by
     simp_rw [A', det_reindex_self, adjugate_reindex, reindex_apply, submatrix_apply, ← e.sum_comp,
-      Equiv.symm_apply_apply] at this
+      Equiv.symm_apply_apply] at this 
     exact this
   rw [det_succ_row A' (e i)]
   simp_rw [mul_assoc, mul_left_comm _ (A' _ _), ← adjugate_fin_succ_eq_det_submatrix]
@@ -500,7 +500,7 @@ theorem isRegular_of_isLeftRegular_det {A : Matrix n n α} (hA : IsLeftRegular A
     rw [← Matrix.one_mul B, ← Matrix.one_mul C, ← Matrix.smul_mul, ← Matrix.smul_mul, ←
       adjugate_mul, Matrix.mul_assoc, Matrix.mul_assoc, ← mul_eq_mul A, h, mul_eq_mul]
   · intro B C h
-    simp only [mul_eq_mul] at h
+    simp only [mul_eq_mul] at h 
     refine' hA.matrix _
     rw [← Matrix.mul_one B, ← Matrix.mul_one C, ← Matrix.mul_smul, ← Matrix.mul_smul, ←
       mul_adjugate, ← Matrix.mul_assoc, ← Matrix.mul_assoc, h]
@@ -559,7 +559,7 @@ theorem det_smul_adjugate_adjugate (A : Matrix n n α) :
   have : A ⬝ (A.adjugate ⬝ A.adjugate.adjugate) = A ⬝ (A.det ^ (Fintype.card n - 1) • 1) := by
     rw [← adjugate_mul_distrib, adjugate_mul, adjugate_smul, adjugate_one]
   rwa [← Matrix.mul_assoc, mul_adjugate, Matrix.mul_smul, Matrix.mul_one, Matrix.smul_mul,
-    Matrix.one_mul] at this
+    Matrix.one_mul] at this 
 #align matrix.det_smul_adjugate_adjugate Matrix.det_smul_adjugate_adjugate
 
 /-- Note that this is not true for `fintype.card n = 1` since `1 - 2 = 0` and not `-1`. -/

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

@@ -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.adjugate
-! leanprover-community/mathlib commit 4f81bc21e32048db7344b7867946e992cf5f68cc
+! leanprover-community/mathlib commit a99f85220eaf38f14f94e04699943e185a5e1d1a
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -454,6 +454,35 @@ theorem adjugate_fin_two_of (a b c d : α) : adjugate !![a, b; c, d] = !![d, -b;
 #align matrix.adjugate_fin_two_of Matrix.adjugate_fin_two_of
 -/
 
+theorem adjugate_fin_succ_eq_det_submatrix {n : ℕ} (A : Matrix (Fin n.succ) (Fin n.succ) α) (i j) :
+    adjugate A i j = (-1) ^ (j + i : ℕ) * det (A.submatrix j.succAbove i.succAbove) :=
+  by
+  simp_rw [adjugate_apply, det_succ_row _ j, update_row_self, submatrix_update_row_succ_above]
+  rw [Fintype.sum_eq_single i fun h hjk => _, Pi.single_eq_same, mul_one]
+  rw [Pi.single_eq_of_ne hjk, MulZeroClass.mul_zero, MulZeroClass.zero_mul]
+#align matrix.adjugate_fin_succ_eq_det_submatrix Matrix.adjugate_fin_succ_eq_det_submatrix
+
+theorem det_eq_sum_mul_adjugate_row (A : Matrix n n α) (i : n) :
+    det A = ∑ j : n, A i j * adjugate A j i :=
+  by
+  haveI : Nonempty n := ⟨i⟩
+  obtain ⟨n', hn'⟩ := Nat.exists_eq_succ_of_ne_zero (Fintype.card_ne_zero : Fintype.card n ≠ 0)
+  obtain ⟨e⟩ := Fintype.truncEquivFinOfCardEq hn'
+  let A' := reindex e e A
+  suffices det A' = ∑ j : Fin n'.succ, A' (e i) j * adjugate A' j (e i)
+    by
+    simp_rw [A', det_reindex_self, adjugate_reindex, reindex_apply, submatrix_apply, ← e.sum_comp,
+      Equiv.symm_apply_apply] at this
+    exact this
+  rw [det_succ_row A' (e i)]
+  simp_rw [mul_assoc, mul_left_comm _ (A' _ _), ← adjugate_fin_succ_eq_det_submatrix]
+#align matrix.det_eq_sum_mul_adjugate_row Matrix.det_eq_sum_mul_adjugate_row
+
+theorem det_eq_sum_mul_adjugate_col (A : Matrix n n α) (j : n) :
+    det A = ∑ i : n, A i j * adjugate A j i := by
+  simpa only [det_transpose, ← adjugate_transpose] using det_eq_sum_mul_adjugate_row Aᵀ j
+#align matrix.det_eq_sum_mul_adjugate_col Matrix.det_eq_sum_mul_adjugate_col
+
 #print Matrix.adjugate_conjTranspose /-
 theorem adjugate_conjTranspose [StarRing α] (A : Matrix n n α) : A.adjugateᴴ = adjugate Aᴴ :=
   by

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

@@ -56,7 +56,7 @@ variable {m : Type u} {n : Type v} {α : Type w}
 
 variable [DecidableEq n] [Fintype n] [DecidableEq m] [Fintype m] [CommRing α]
 
-open Matrix BigOperators Polynomial
+open scoped Matrix BigOperators Polynomial
 
 open Equiv Equiv.Perm Finset
 

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

@@ -113,26 +113,14 @@ def cramer (A : Matrix n n α) : (n → α) →ₗ[α] n → α :=
 #align matrix.cramer Matrix.cramer
 -/
 
-/- warning: matrix.cramer_apply -> Matrix.cramer_apply is a dubious translation:
-lean 3 declaration is
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), Eq.{succ u2} α (coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α 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-Case conversion may be inaccurate. Consider using '#align matrix.cramer_apply Matrix.cramer_applyₓ'. -/
 theorem cramer_apply (i : n) : cramer A b i = (A.updateColumn i b).det :=
   rfl
 #align matrix.cramer_apply Matrix.cramer_apply
 
-/- warning: matrix.cramer_transpose_apply -> Matrix.cramer_transpose_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align matrix.cramer_transpose_apply Matrix.cramer_transpose_applyₓ'. -/
 theorem cramer_transpose_apply (i : n) : cramer Aᵀ b i = (A.updateRow i b).det := by
   rw [cramer_apply, update_column_transpose, det_transpose]
 #align matrix.cramer_transpose_apply Matrix.cramer_transpose_apply
 
-/- warning: matrix.cramer_transpose_row_self -> Matrix.cramer_transpose_row_self is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align matrix.cramer_transpose_row_self Matrix.cramer_transpose_row_selfₓ'. -/
 theorem cramer_transpose_row_self (i : n) : Aᵀ.cramer (A i) = Pi.single i A.det :=
   by
   ext j
@@ -147,9 +135,6 @@ theorem cramer_transpose_row_self (i : n) : Aᵀ.cramer (A i) = Pi.single i A.de
     rw [update_row_self, update_row_ne (Ne.symm h)]
 #align matrix.cramer_transpose_row_self Matrix.cramer_transpose_row_self
 
-/- warning: matrix.cramer_row_self -> Matrix.cramer_row_self is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align matrix.cramer_row_self Matrix.cramer_row_selfₓ'. -/
 theorem cramer_row_self (i : n) (h : ∀ j, b j = A j i) : A.cramer b = Pi.single i A.det :=
   by
   rw [← transpose_transpose A, det_transpose]
@@ -157,9 +142,6 @@ theorem cramer_row_self (i : n) (h : ∀ j, b j = A j i) : A.cramer b = Pi.singl
   exact funext h
 #align matrix.cramer_row_self Matrix.cramer_row_self
 
-/- warning: matrix.cramer_one -> Matrix.cramer_one is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align matrix.cramer_one Matrix.cramer_oneₓ'. -/
 @[simp]
 theorem cramer_one : cramer (1 : Matrix n n α) = 1 :=
   by
@@ -169,28 +151,16 @@ theorem cramer_one : cramer (1 : Matrix n n α) = 1 :=
   · intro j; rw [Matrix.one_eq_pi_single, Pi.single_comm]
 #align matrix.cramer_one Matrix.cramer_one
 
-/- warning: matrix.cramer_smul -> Matrix.cramer_smul is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align matrix.cramer_smul Matrix.cramer_smulₓ'. -/
 theorem cramer_smul (r : α) (A : Matrix n n α) :
     cramer (r • A) = r ^ (Fintype.card n - 1) • cramer A :=
   LinearMap.ext fun b => funext fun _ => det_updateColumn_smul' _ _ _ _
 #align matrix.cramer_smul Matrix.cramer_smul
 
-/- warning: matrix.cramer_subsingleton_apply -> Matrix.cramer_subsingleton_apply is a dubious translation:
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 @[simp]
 theorem cramer_subsingleton_apply [Subsingleton n] (A : Matrix n n α) (b : n → α) (i : n) :
     cramer A b i = b i := by rw [cramer_apply, det_eq_elem_of_subsingleton _ i, update_column_self]
 #align matrix.cramer_subsingleton_apply Matrix.cramer_subsingleton_apply
 
-/- warning: matrix.cramer_zero -> Matrix.cramer_zero is a dubious translation:
-<too large>
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 theorem cramer_zero [Nontrivial n] : cramer (0 : Matrix n n α) = 0 :=
   by
   ext (i j)
@@ -200,18 +170,12 @@ theorem cramer_zero [Nontrivial n] : cramer (0 : Matrix n n α) = 0 :=
   simp [update_column_ne hj']
 #align matrix.cramer_zero Matrix.cramer_zero
 
-/- warning: matrix.sum_cramer -> Matrix.sum_cramer is a dubious translation:
-<too large>
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 /-- Use linearity of `cramer` to take it out of a summation. -/
 theorem sum_cramer {β} (s : Finset β) (f : β → n → α) :
     (∑ x in s, cramer A (f x)) = cramer A (∑ x in s, f x) :=
   (LinearMap.map_sum (cramer A)).symm
 #align matrix.sum_cramer Matrix.sum_cramer
 
-/- warning: matrix.sum_cramer_apply -> Matrix.sum_cramer_apply is a dubious translation:
-<too large>
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 /-- Use linearity of `cramer` and vector evaluation to take `cramer A _ i` out of a summation. -/
 theorem sum_cramer_apply {β} (s : Finset β) (f : n → β → α) (i : n) :
     (∑ x in s, cramer A (fun j => f j x) i) = cramer A (fun j : n => ∑ x in s, f j x) i :=
@@ -223,9 +187,6 @@ theorem sum_cramer_apply {β} (s : Finset β) (f : n → β → α) (i : n) :
     
 #align matrix.sum_cramer_apply Matrix.sum_cramer_apply
 
-/- warning: matrix.cramer_submatrix_equiv -> Matrix.cramer_submatrix_equiv is a dubious translation:
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 theorem cramer_submatrix_equiv (A : Matrix m m α) (e : n ≃ m) (b : n → α) :
     cramer (A.submatrix e e) b = cramer A (b ∘ e.symm) ∘ e :=
   by
@@ -234,9 +195,6 @@ theorem cramer_submatrix_equiv (A : Matrix m m α) (e : n ≃ m) (b : n → α)
     det_submatrix_equiv_self e]
 #align matrix.cramer_submatrix_equiv Matrix.cramer_submatrix_equiv
 
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 theorem cramer_reindex (e : m ≃ n) (A : Matrix m m α) (b : n → α) :
     cramer (reindex e e A) b = cramer A (b ∘ e) ∘ e.symm :=
   cramer_submatrix_equiv _ _ _
@@ -274,12 +232,6 @@ theorem adjugate_def (A : Matrix n n α) : adjugate A = of fun i => cramer Aᵀ
 #align matrix.adjugate_def Matrix.adjugate_def
 -/
 
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 theorem adjugate_apply (A : Matrix n n α) (i j : n) :
     adjugate A i j = (A.updateRow j (Pi.single i 1)).det := by
   rw [adjugate_def, of_apply, cramer_apply, update_column_transpose, det_transpose]
@@ -338,9 +290,6 @@ theorem adjugate_reindex (e : m ≃ n) (A : Matrix m m α) :
 #align matrix.adjugate_reindex Matrix.adjugate_reindex
 -/
 
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 /-- Since the map `b ↦ cramer A b` is linear in `b`, it must be multiplication by some matrix. This
 matrix is `A.adjugate`. -/
 theorem cramer_eq_adjugate_mulVec (A : Matrix n n α) (b : n → α) :
@@ -354,21 +303,12 @@ theorem cramer_eq_adjugate_mulVec (A : Matrix n n α) (b : n → α) :
   simp [mul_vec, dot_product, mul_comm]
 #align matrix.cramer_eq_adjugate_mul_vec Matrix.cramer_eq_adjugate_mulVec
 
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 theorem mul_adjugate_apply (A : Matrix n n α) (i j k) :
     A i k * adjugate A k j = cramer Aᵀ (Pi.single k (A i k)) j := by
   erw [← smul_eq_mul, ← Pi.smul_apply, ← LinearMap.map_smul, ← Pi.single_smul', smul_eq_mul,
     mul_one]
 #align matrix.mul_adjugate_apply Matrix.mul_adjugate_apply
 
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 theorem mul_adjugate (A : Matrix n n α) : A ⬝ adjugate A = A.det • 1 :=
   by
   ext (i j)
@@ -376,12 +316,6 @@ theorem mul_adjugate (A : Matrix n n α) : A ⬝ adjugate A = A.det • 1 :=
   simp [mul_adjugate_apply, sum_cramer_apply, cramer_transpose_row_self, Pi.single_apply, eq_comm]
 #align matrix.mul_adjugate Matrix.mul_adjugate
 
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 theorem adjugate_mul (A : Matrix n n α) : adjugate A ⬝ A = A.det • 1 :=
   calc
     adjugate A ⬝ A = (Aᵀ ⬝ adjugate Aᵀ)ᵀ := by
@@ -390,12 +324,6 @@ theorem adjugate_mul (A : Matrix n n α) : adjugate A ⬝ A = A.det • 1 :=
     
 #align matrix.adjugate_mul Matrix.adjugate_mul
 
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 theorem adjugate_smul (r : α) (A : Matrix n n α) :
     adjugate (r • A) = r ^ (Fintype.card n - 1) • adjugate A :=
   by
@@ -403,9 +331,6 @@ theorem adjugate_smul (r : α) (A : Matrix n n α) :
   rfl
 #align matrix.adjugate_smul Matrix.adjugate_smul
 
-/- warning: matrix.mul_vec_cramer -> Matrix.mulVec_cramer is a dubious translation:
-<too large>
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 /-- A stronger form of **Cramer's rule** that allows us to solve some instances of `A ⬝ x = b` even
 if the determinant is not a unit. A sufficient (but still not necessary) condition is that `A.det`
 divides `b`. -/
@@ -414,36 +339,18 @@ theorem mulVec_cramer (A : Matrix n n α) (b : n → α) : A.mulVec (cramer A b)
   rw [cramer_eq_adjugate_mul_vec, mul_vec_mul_vec, mul_adjugate, smul_mul_vec_assoc, one_mul_vec]
 #align matrix.mul_vec_cramer Matrix.mulVec_cramer
 
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 theorem adjugate_subsingleton [Subsingleton n] (A : Matrix n n α) : adjugate A = 1 :=
   by
   ext (i j)
   simp [Subsingleton.elim i j, adjugate_apply, det_eq_elem_of_subsingleton _ i]
 #align matrix.adjugate_subsingleton Matrix.adjugate_subsingleton
 
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 theorem adjugate_eq_one_of_card_eq_one {A : Matrix n n α} (h : Fintype.card n = 1) :
     adjugate A = 1 :=
   haveI : Subsingleton n := fintype.card_le_one_iff_subsingleton.mp h.le
   adjugate_subsingleton _
 #align matrix.adjugate_eq_one_of_card_eq_one Matrix.adjugate_eq_one_of_card_eq_one
 
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 @[simp]
 theorem adjugate_zero [Nontrivial n] : adjugate (0 : Matrix n n α) = 0 :=
   by
@@ -454,23 +361,11 @@ theorem adjugate_zero [Nontrivial n] : adjugate (0 : Matrix n n α) = 0 :=
   simp [update_column_ne hj']
 #align matrix.adjugate_zero Matrix.adjugate_zero
 
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 @[simp]
 theorem adjugate_one : adjugate (1 : Matrix n n α) = 1 := by ext;
   simp [adjugate_def, Matrix.one_apply, Pi.single_apply, eq_comm]
 #align matrix.adjugate_one Matrix.adjugate_one
 
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 @[simp]
 theorem adjugate_diagonal (v : n → α) :
     adjugate (diagonal v) = diagonal fun i => ∏ j in Finset.univ.eraseₓ i, v j :=
@@ -488,9 +383,6 @@ theorem adjugate_diagonal (v : n → α) :
     · rw [update_column_ne hjk, diagonal_apply_ne' _ hjk]
 #align matrix.adjugate_diagonal Matrix.adjugate_diagonal
 
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 theorem RingHom.map_adjugate {R S : Type _} [CommRing R] [CommRing S] (f : R →+* S)
     (M : Matrix n n R) : f.mapMatrix M.adjugate = Matrix.adjugate (f.mapMatrix M) :=
   by
@@ -503,21 +395,12 @@ theorem RingHom.map_adjugate {R S : Type _} [CommRing R] [CommRing S] (f : R →
     map_update_row, ← RingHom.mapMatrix_apply, ← RingHom.map_det, ← adjugate_apply]
 #align ring_hom.map_adjugate RingHom.map_adjugate
 
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 theorem AlgHom.map_adjugate {R A B : Type _} [CommSemiring R] [CommRing A] [CommRing B]
     [Algebra R A] [Algebra R B] (f : A →ₐ[R] B) (M : Matrix n n A) :
     f.mapMatrix M.adjugate = Matrix.adjugate (f.mapMatrix M) :=
   f.toRingHom.map_adjugate _
 #align alg_hom.map_adjugate AlgHom.map_adjugate
 
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 theorem det_adjugate (A : Matrix n n α) : (adjugate A).det = A.det ^ (Fintype.card n - 1) :=
   by
   -- get rid of the `- 1`
@@ -539,31 +422,16 @@ theorem det_adjugate (A : Matrix n n α) : (adjugate A).det = A.det ^ (Fintype.c
     
 #align matrix.det_adjugate Matrix.det_adjugate
 
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 @[simp]
 theorem adjugate_fin_zero (A : Matrix (Fin 0) (Fin 0) α) : adjugate A = 0 :=
   Subsingleton.elim _ _
 #align matrix.adjugate_fin_zero Matrix.adjugate_fin_zero
 
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 @[simp]
 theorem adjugate_fin_one (A : Matrix (Fin 1) (Fin 1) α) : adjugate A = 1 :=
   adjugate_subsingleton A
 #align matrix.adjugate_fin_one Matrix.adjugate_fin_one
 
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 theorem adjugate_fin_two (A : Matrix (Fin 2) (Fin 2) α) :
     adjugate A = !![A 1 1, -A 0 1; -A 1 0, A 0 0] :=
   by
@@ -595,12 +463,6 @@ theorem adjugate_conjTranspose [StarRing α] (A : Matrix n n α) : A.adjugateᴴ
 #align matrix.adjugate_conj_transpose Matrix.adjugate_conjTranspose
 -/
 
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 theorem isRegular_of_isLeftRegular_det {A : Matrix n n α} (hA : IsLeftRegular A.det) :
     IsRegular A := by
   constructor
@@ -615,12 +477,6 @@ theorem isRegular_of_isLeftRegular_det {A : Matrix n n α} (hA : IsLeftRegular A
       mul_adjugate, ← Matrix.mul_assoc, ← Matrix.mul_assoc, h]
 #align matrix.is_regular_of_is_left_regular_det Matrix.isRegular_of_isLeftRegular_det
 
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 theorem adjugate_mul_distrib_aux (A B : Matrix n n α) (hA : IsLeftRegular A.det)
     (hB : IsLeftRegular B.det) : adjugate (A ⬝ B) = adjugate B ⬝ adjugate A :=
   by
@@ -632,12 +488,6 @@ theorem adjugate_mul_distrib_aux (A B : Matrix n n α) (hA : IsLeftRegular A.det
     smul_mul, Matrix.one_mul, mul_smul, mul_adjugate, smul_smul, mul_comm, ← det_mul]
 #align matrix.adjugate_mul_distrib_aux Matrix.adjugate_mul_distrib_aux
 
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 /-- Proof follows from "The trace Cayley-Hamilton theorem" by Darij Grinberg, Section 5.3
 -/
 theorem adjugate_mul_distrib (A B : Matrix n n α) : adjugate (A ⬝ B) = adjugate B ⬝ adjugate A :=
@@ -666,12 +516,6 @@ theorem adjugate_mul_distrib (A B : Matrix n n α) : adjugate (A ⬝ B) = adjuga
     RingHom.map_adjugate, f'_inv, f'_g_mul]
 #align matrix.adjugate_mul_distrib Matrix.adjugate_mul_distrib
 
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 @[simp]
 theorem adjugate_pow (A : Matrix n n α) (k : ℕ) : adjugate (A ^ k) = adjugate A ^ k :=
   by
@@ -680,12 +524,6 @@ theorem adjugate_pow (A : Matrix n n α) (k : ℕ) : adjugate (A ^ k) = adjugate
   · rw [pow_succ', mul_eq_mul, adjugate_mul_distrib, IH, ← mul_eq_mul, pow_succ]
 #align matrix.adjugate_pow Matrix.adjugate_pow
 
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 theorem det_smul_adjugate_adjugate (A : Matrix n n α) :
     det A • adjugate (adjugate A) = det A ^ (Fintype.card n - 1) • A :=
   by
@@ -695,12 +533,6 @@ theorem det_smul_adjugate_adjugate (A : Matrix n n α) :
     Matrix.one_mul] at this
 #align matrix.det_smul_adjugate_adjugate Matrix.det_smul_adjugate_adjugate
 
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-Case conversion may be inaccurate. Consider using '#align matrix.adjugate_adjugate Matrix.adjugate_adjugateₓ'. -/
 /-- Note that this is not true for `fintype.card n = 1` since `1 - 2 = 0` and not `-1`. -/
 theorem adjugate_adjugate (A : Matrix n n α) (h : Fintype.card n ≠ 1) :
     adjugate (adjugate A) = det A ^ (Fintype.card n - 2) • A :=
@@ -726,12 +558,6 @@ theorem adjugate_adjugate (A : Matrix n n α) (h : Fintype.card n ≠ 1) :
   rw [smul_smul, ← pow_succ, h_card', det_smul_adjugate_adjugate]
 #align matrix.adjugate_adjugate Matrix.adjugate_adjugate
 
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-Case conversion may be inaccurate. Consider using '#align matrix.adjugate_adjugate' Matrix.adjugate_adjugate'ₓ'. -/
 /-- A weaker version of `matrix.adjugate_adjugate` that uses `nontrivial`. -/
 theorem adjugate_adjugate' (A : Matrix n n α) [Nontrivial n] :
     adjugate (adjugate A) = det A ^ (Fintype.card n - 2) • A :=

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

@@ -166,8 +166,7 @@ theorem cramer_one : cramer (1 : Matrix n n α) = 1 :=
   ext (i j)
   convert congr_fun (cramer_row_self (1 : Matrix n n α) (Pi.single i 1) i _) j
   · simp
-  · intro j
-    rw [Matrix.one_eq_pi_single, Pi.single_comm]
+  · intro j; rw [Matrix.one_eq_pi_single, Pi.single_comm]
 #align matrix.cramer_one Matrix.cramer_one
 
 /- warning: matrix.cramer_smul -> Matrix.cramer_smul is a dubious translation:
@@ -219,10 +218,7 @@ theorem sum_cramer_apply {β} (s : Finset β) (f : n → β → α) (i : n) :
   calc
     (∑ x in s, cramer A (fun j => f j x) i) = (∑ x in s, cramer A fun j => f j x) i :=
       (Finset.sum_apply i s _).symm
-    _ = cramer A (fun j : n => ∑ x in s, f j x) i :=
-      by
-      rw [sum_cramer, cramer_apply]
-      congr with j
+    _ = cramer A (fun j : n => ∑ x in s, f j x) i := by rw [sum_cramer, cramer_apply]; congr with j;
       apply Finset.sum_apply
     
 #align matrix.sum_cramer_apply Matrix.sum_cramer_apply
@@ -352,13 +348,9 @@ theorem cramer_eq_adjugate_mulVec (A : Matrix n n α) (b : n → α) :
   by
   nth_rw 2 [← A.transpose_transpose]
   rw [← adjugate_transpose, adjugate_def]
-  have : b = ∑ i, b i • Pi.single i 1 :=
-    by
-    refine' (pi_eq_sum_univ b).trans _
-    congr with j
+  have : b = ∑ i, b i • Pi.single i 1 := by refine' (pi_eq_sum_univ b).trans _; congr with j;
     simp [Pi.single_apply, eq_comm]
-  nth_rw 1 [this]
-  ext k
+  nth_rw 1 [this]; ext k
   simp [mul_vec, dot_product, mul_comm]
 #align matrix.cramer_eq_adjugate_mul_vec Matrix.cramer_eq_adjugate_mulVec
 
@@ -469,9 +461,7 @@ but is expected to have type
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 Case conversion may be inaccurate. Consider using '#align matrix.adjugate_one Matrix.adjugate_oneₓ'. -/
 @[simp]
-theorem adjugate_one : adjugate (1 : Matrix n n α) = 1 :=
-  by
-  ext
+theorem adjugate_one : adjugate (1 : Matrix n n α) = 1 := by ext;
   simp [adjugate_def, Matrix.one_apply, Pi.single_apply, eq_comm]
 #align matrix.adjugate_one Matrix.adjugate_one
 

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

@@ -124,20 +124,14 @@ theorem cramer_apply (i : n) : cramer A b i = (A.updateColumn i b).det :=
 #align matrix.cramer_apply Matrix.cramer_apply
 
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 Case conversion may be inaccurate. Consider using '#align matrix.cramer_transpose_apply Matrix.cramer_transpose_applyₓ'. -/
 theorem cramer_transpose_apply (i : n) : cramer Aᵀ b i = (A.updateRow i b).det := by
   rw [cramer_apply, update_column_transpose, det_transpose]
 #align matrix.cramer_transpose_apply Matrix.cramer_transpose_apply
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_transpose_row_self Matrix.cramer_transpose_row_selfₓ'. -/
 theorem cramer_transpose_row_self (i : n) : Aᵀ.cramer (A i) = Pi.single i A.det :=
   by
@@ -154,10 +148,7 @@ theorem cramer_transpose_row_self (i : n) : Aᵀ.cramer (A i) = Pi.single i A.de
 #align matrix.cramer_transpose_row_self Matrix.cramer_transpose_row_self
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_row_self Matrix.cramer_row_selfₓ'. -/
 theorem cramer_row_self (i : n) (h : ∀ j, b j = A j i) : A.cramer b = Pi.single i A.det :=
   by
@@ -167,10 +158,7 @@ theorem cramer_row_self (i : n) (h : ∀ j, b j = A j i) : A.cramer b = Pi.singl
 #align matrix.cramer_row_self Matrix.cramer_row_self
 
 /- warning: matrix.cramer_one -> Matrix.cramer_one is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_one Matrix.cramer_oneₓ'. -/
 @[simp]
 theorem cramer_one : cramer (1 : Matrix n n α) = 1 :=
@@ -183,10 +171,7 @@ theorem cramer_one : cramer (1 : Matrix n n α) = 1 :=
 #align matrix.cramer_one Matrix.cramer_one
 
 /- warning: matrix.cramer_smul -> Matrix.cramer_smul is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_smul Matrix.cramer_smulₓ'. -/
 theorem cramer_smul (r : α) (A : Matrix n n α) :
     cramer (r • A) = r ^ (Fintype.card n - 1) • cramer A :=
@@ -205,10 +190,7 @@ theorem cramer_subsingleton_apply [Subsingleton n] (A : Matrix n n α) (b : n 
 #align matrix.cramer_subsingleton_apply Matrix.cramer_subsingleton_apply
 
 /- warning: matrix.cramer_zero -> Matrix.cramer_zero is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_zero Matrix.cramer_zeroₓ'. -/
 theorem cramer_zero [Nontrivial n] : cramer (0 : Matrix n n α) = 0 :=
   by
@@ -220,10 +202,7 @@ theorem cramer_zero [Nontrivial n] : cramer (0 : Matrix n n α) = 0 :=
 #align matrix.cramer_zero Matrix.cramer_zero
 
 /- warning: matrix.sum_cramer -> Matrix.sum_cramer is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align matrix.sum_cramer Matrix.sum_cramerₓ'. -/
 /-- Use linearity of `cramer` to take it out of a summation. -/
 theorem sum_cramer {β} (s : Finset β) (f : β → n → α) :
@@ -232,10 +211,7 @@ theorem sum_cramer {β} (s : Finset β) (f : β → n → α) :
 #align matrix.sum_cramer Matrix.sum_cramer
 
 /- warning: matrix.sum_cramer_apply -> Matrix.sum_cramer_apply is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align matrix.sum_cramer_apply Matrix.sum_cramer_applyₓ'. -/
 /-- Use linearity of `cramer` and vector evaluation to take `cramer A _ i` out of a summation. -/
 theorem sum_cramer_apply {β} (s : Finset β) (f : n → β → α) (i : n) :
@@ -252,10 +228,7 @@ theorem sum_cramer_apply {β} (s : Finset β) (f : n → β → α) (i : n) :
 #align matrix.sum_cramer_apply Matrix.sum_cramer_apply
 
 /- warning: matrix.cramer_submatrix_equiv -> Matrix.cramer_submatrix_equiv is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_submatrix_equiv Matrix.cramer_submatrix_equivₓ'. -/
 theorem cramer_submatrix_equiv (A : Matrix m m α) (e : n ≃ m) (b : n → α) :
     cramer (A.submatrix e e) b = cramer A (b ∘ e.symm) ∘ e :=
@@ -266,10 +239,7 @@ theorem cramer_submatrix_equiv (A : Matrix m m α) (e : n ≃ m) (b : n → α)
 #align matrix.cramer_submatrix_equiv Matrix.cramer_submatrix_equiv
 
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 Case conversion may be inaccurate. Consider using '#align matrix.cramer_reindex Matrix.cramer_reindexₓ'. -/
 theorem cramer_reindex (e : m ≃ n) (A : Matrix m m α) (b : n → α) :
     cramer (reindex e e A) b = cramer A (b ∘ e) ∘ e.symm :=
@@ -373,10 +343,7 @@ theorem adjugate_reindex (e : m ≃ n) (A : Matrix m m α) :
 -/
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_eq_adjugate_mul_vec Matrix.cramer_eq_adjugate_mulVecₓ'. -/
 /-- Since the map `b ↦ cramer A b` is linear in `b`, it must be multiplication by some matrix. This
 matrix is `A.adjugate`. -/
@@ -396,10 +363,7 @@ theorem cramer_eq_adjugate_mulVec (A : Matrix n n α) (b : n → α) :
 #align matrix.cramer_eq_adjugate_mul_vec Matrix.cramer_eq_adjugate_mulVec
 
 /- warning: matrix.mul_adjugate_apply -> Matrix.mul_adjugate_apply is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align matrix.mul_adjugate_apply Matrix.mul_adjugate_applyₓ'. -/
 theorem mul_adjugate_apply (A : Matrix n n α) (i j k) :
     A i k * adjugate A k j = cramer Aᵀ (Pi.single k (A i k)) j := by
@@ -448,10 +412,7 @@ theorem adjugate_smul (r : α) (A : Matrix n n α) :
 #align matrix.adjugate_smul Matrix.adjugate_smul
 
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 Case conversion may be inaccurate. Consider using '#align matrix.mul_vec_cramer Matrix.mulVec_cramerₓ'. -/
 /-- A stronger form of **Cramer's rule** that allows us to solve some instances of `A ⬝ x = b` even
 if the determinant is not a unit. A sufficient (but still not necessary) condition is that `A.det`
@@ -538,10 +499,7 @@ theorem adjugate_diagonal (v : n → α) :
 #align matrix.adjugate_diagonal Matrix.adjugate_diagonal
 
 /- warning: ring_hom.map_adjugate -> RingHom.map_adjugate is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align ring_hom.map_adjugate RingHom.map_adjugateₓ'. -/
 theorem RingHom.map_adjugate {R S : Type _} [CommRing R] [CommRing S] (f : R →+* S)
     (M : Matrix n n R) : f.mapMatrix M.adjugate = Matrix.adjugate (f.mapMatrix M) :=
@@ -556,10 +514,7 @@ theorem RingHom.map_adjugate {R S : Type _} [CommRing R] [CommRing S] (f : R →
 #align ring_hom.map_adjugate RingHom.map_adjugate
 
 /- warning: alg_hom.map_adjugate -> AlgHom.map_adjugate is a dubious translation:
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_inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10)) R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))) (Module.toDistribMulAction.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) (CommSemiring.toSemiring.{u3} R _inst_6) 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(Matrix.{u4, u4, u2} n n A) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (AddCommMonoid.toAddMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))))) (Module.toDistribMulAction.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) _inst_6 (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_9)))))) (SMulZeroClass.toSMul.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (AddMonoid.toZero.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (AddCommMonoid.toAddMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))))) (DistribSMul.toSMulZeroClass.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (AddMonoid.toAddZeroClass.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (AddCommMonoid.toAddMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))))) (DistribMulAction.toDistribSMul.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (AddCommMonoid.toAddMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))))) (Module.toDistribMulAction.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10)))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u2 u1) u4, u3, max u2 u4, max u1 u4} (AlgHom.{u3, max u2 u4, max u1 u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10)) R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (AddCommMonoid.toAddMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))))) (AddCommMonoid.toAddMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))))) (Module.toDistribMulAction.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) _inst_6 (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_9))) (Module.toDistribMulAction.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u2 u1) u4, u3, max u2 u4, max u1 u4} (AlgHom.{u3, max u2 u4, max u1 u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10)) R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))) (Module.toDistribMulAction.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) _inst_6 (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_9))) (Module.toDistribMulAction.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, max u2 u4, max u1 u4, max (max u2 u1) u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10) (AlgHom.{u3, max u2 u4, max u1 u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10)) (AlgHom.algHomClass.{u3, max u2 u4, max u1 u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10)))))) (AlgHom.mapMatrix.{u2, u1, u4, u3} n R A B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_9 _inst_10 f) M))
+<too large>
 Case conversion may be inaccurate. Consider using '#align alg_hom.map_adjugate AlgHom.map_adjugateₓ'. -/
 theorem AlgHom.map_adjugate {R A B : Type _} [CommSemiring R] [CommRing A] [CommRing B]
     [Algebra R A] [Algebra R B] (f : A →ₐ[R] B) (M : Matrix n n A) :
@@ -617,10 +572,7 @@ theorem adjugate_fin_one (A : Matrix (Fin 1) (Fin 1) α) : adjugate A = 1 :=
 #align matrix.adjugate_fin_one Matrix.adjugate_fin_one
 
 /- warning: matrix.adjugate_fin_two -> Matrix.adjugate_fin_two is a dubious translation:
-lean 3 declaration is
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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))))) _inst_5 A) (coeFn.{succ u1, succ u1} (Equiv.{succ u1, succ 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))))) -> α) (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))))) α)) (fun (_x : Equiv.{succ u1, succ 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))))) -> α) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat 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Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) α)) (Matrix.of.{u1, 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))))) α) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> α) (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))) (Matrix.vecCons.{u1} α (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))) (A (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)))))) (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))))))) (Matrix.vecCons.{u1} α (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero))) (Neg.neg.{u1} α (SubNegMonoid.toHasNeg.{u1} α (AddGroup.toSubNegMonoid.{u1} α (AddGroupWithOne.toAddGroup.{u1} α (AddCommGroupWithOne.toAddGroupWithOne.{u1} α (Ring.toAddCommGroupWithOne.{u1} α (CommRing.toRing.{u1} α _inst_5)))))) (A (OfNat.ofNat.{0} (Fin (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 0 (OfNat.mk.{0} (Fin (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 0 (Zero.zero.{0} (Fin (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (Fin.hasZeroOfNeZero (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)))))) (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)))))))) (Matrix.vecEmpty.{u1} α))) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> α) (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero))) (Matrix.vecCons.{u1} α (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))) (Neg.neg.{u1} α (SubNegMonoid.toHasNeg.{u1} α (AddGroup.toSubNegMonoid.{u1} α (AddGroupWithOne.toAddGroup.{u1} α (AddCommGroupWithOne.toAddGroupWithOne.{u1} α (Ring.toAddCommGroupWithOne.{u1} α (CommRing.toRing.{u1} α _inst_5)))))) (A (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)))))) (OfNat.ofNat.{0} (Fin (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 0 (OfNat.mk.{0} (Fin (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 0 (Zero.zero.{0} (Fin (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (Fin.hasZeroOfNeZero (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)))))))) (Matrix.vecCons.{u1} α (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero))) (A (OfNat.ofNat.{0} (Fin (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 0 (OfNat.mk.{0} (Fin (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 0 (Zero.zero.{0} (Fin (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (Fin.hasZeroOfNeZero (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)))))) (OfNat.ofNat.{0} (Fin (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 0 (OfNat.mk.{0} (Fin (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 0 (Zero.zero.{0} (Fin (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (Fin.hasZeroOfNeZero (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))))))) (Matrix.vecEmpty.{u1} α))) (Matrix.vecEmpty.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> α)))))
-but is expected to have type
-  forall {α : Type.{u1}} [_inst_5 : CommRing.{u1} α] (A : Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) α), Eq.{succ u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) α) (Matrix.adjugate.{0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) α (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))) _inst_5 A) (FunLike.coe.{succ u1, succ u1, succ u1} (Equiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> α) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) α)) ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> α) (fun (_x : (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> α) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> α) => Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) α) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> α) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) α)) (Matrix.of.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) α) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> α) (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) (Matrix.vecCons.{u1} α (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) (A (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))))) (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)))))) (Matrix.vecCons.{u1} α (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) (Neg.neg.{u1} α (Ring.toNeg.{u1} α (CommRing.toRing.{u1} α _inst_5)) (A (OfNat.ofNat.{0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) 0 (Fin.instOfNatFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) 0 (NeZero.succ (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (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))))))) (Matrix.vecEmpty.{u1} α))) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> α) (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) (Matrix.vecCons.{u1} α (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) (Neg.neg.{u1} α (Ring.toNeg.{u1} α (CommRing.toRing.{u1} α _inst_5)) (A (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))))) (OfNat.ofNat.{0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) 0 (Fin.instOfNatFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) 0 (NeZero.succ (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))))) (Matrix.vecCons.{u1} α (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) (A (OfNat.ofNat.{0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) 0 (Fin.instOfNatFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) 0 (NeZero.succ (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (OfNat.ofNat.{0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) 0 (Fin.instOfNatFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) 0 (NeZero.succ (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))))) (Matrix.vecEmpty.{u1} α))) (Matrix.vecEmpty.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> α)))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align matrix.adjugate_fin_two Matrix.adjugate_fin_twoₓ'. -/
 theorem adjugate_fin_two (A : Matrix (Fin 2) (Fin 2) α) :
     adjugate A = !![A 1 1, -A 0 1; -A 1 0, A 0 0] :=

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

@@ -117,7 +117,7 @@ def cramer (A : Matrix n n α) : (n → α) →ₗ[α] n → α :=
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), Eq.{succ u2} α (coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b i) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 (Matrix.updateColumn.{u2, u1, u1} n n α (fun (a : n) (b : n) => _inst_1 a b) A i b))
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), Eq.{succ u2} α (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b i) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 (Matrix.updateColumn.{u2, u1, u1} n n α (fun (a : n) (b : n) => _inst_1 a b) A i b))
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), Eq.{succ u2} α (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b i) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 (Matrix.updateColumn.{u2, u1, u1} n n α (fun (a : n) (b : n) => _inst_1 a b) A i b))
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_apply Matrix.cramer_applyₓ'. -/
 theorem cramer_apply (i : n) : cramer A b i = (A.updateColumn i b).det :=
   rfl
@@ -127,7 +127,7 @@ theorem cramer_apply (i : n) : cramer A b i = (A.updateColumn i b).det :=
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), Eq.{succ u2} α (coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.transpose.{u2, u1, u1} n n α A)) b i) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 (Matrix.updateRow.{u2, u1, u1} n n α (fun (a : n) (b : n) => _inst_1 a b) A i b))
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), Eq.{succ u2} α (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.transpose.{u2, u1, u1} n n α A)) b i) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 (Matrix.updateRow.{u2, u1, u1} n n α (fun (a : n) (b : n) => _inst_1 a b) A i b))
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), Eq.{succ u2} α (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.transpose.{u2, u1, u1} n n α A)) b i) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 (Matrix.updateRow.{u2, u1, u1} n n α (fun (a : n) (b : n) => _inst_1 a b) A i b))
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_transpose_apply Matrix.cramer_transpose_applyₓ'. -/
 theorem cramer_transpose_apply (i : n) : cramer Aᵀ b i = (A.updateRow i b).det := by
   rw [cramer_apply, update_column_transpose, det_transpose]
@@ -137,7 +137,7 @@ theorem cramer_transpose_apply (i : n) : cramer Aᵀ b i = (A.updateRow i b).det
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (i : n), Eq.{max (succ u1) (succ u2)} (n -> α) (coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.transpose.{u2, u1, u1} n n α A)) (A i)) (Pi.single.{u1, u2} n (fun (ᾰ : n) => α) (fun (a : n) (b : n) => _inst_1 a b) (fun (i : n) => MulZeroClass.toHasZero.{u2} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) i (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A))
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (i : n), Eq.{max (succ u1) (succ u2)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : n -> α) => n -> α) (A i)) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.transpose.{u2, u1, u1} n n α A)) (A i)) (Pi.single.{u1, u2} n (fun (ᾰ : n) => α) (fun (a : n) (b : n) => _inst_1 a b) (fun (i : n) => CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) i (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A))
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (i : n), Eq.{max (succ u1) (succ u2)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : n -> α) => n -> α) (A i)) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.transpose.{u2, u1, u1} n n α A)) (A i)) (Pi.single.{u1, u2} n (fun (ᾰ : n) => α) (fun (a : n) (b : n) => _inst_1 a b) (fun (i : n) => CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) i (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A))
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_transpose_row_self Matrix.cramer_transpose_row_selfₓ'. -/
 theorem cramer_transpose_row_self (i : n) : Aᵀ.cramer (A i) = Pi.single i A.det :=
   by
@@ -157,7 +157,7 @@ theorem cramer_transpose_row_self (i : n) : Aᵀ.cramer (A i) = Pi.single i A.de
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), (forall (j : n), Eq.{succ u2} α (b j) (A j i)) -> (Eq.{max (succ u1) (succ u2)} (n -> α) (coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b) (Pi.single.{u1, u2} n (fun (ᾰ : n) => α) (fun (a : n) (b : n) => _inst_1 a b) (fun (i : n) => MulZeroClass.toHasZero.{u2} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) i (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A)))
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), (forall (j : n), Eq.{succ u2} α (b j) (A j i)) -> (Eq.{max (succ u1) (succ u2)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : n -> α) => n -> α) b) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b) (Pi.single.{u1, u2} n (fun (ᾰ : n) => α) (fun (a : n) (b : n) => _inst_1 a b) (fun (i : n) => CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) i (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A)))
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), (forall (j : n), Eq.{succ u2} α (b j) (A j i)) -> (Eq.{max (succ u1) (succ u2)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : n -> α) => n -> α) b) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b) (Pi.single.{u1, u2} n (fun (ᾰ : n) => α) (fun (a : n) (b : n) => _inst_1 a b) (fun (i : n) => CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) i (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A)))
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_row_self Matrix.cramer_row_selfₓ'. -/
 theorem cramer_row_self (i : n) (h : ∀ j, b j = A j i) : A.cramer b = Pi.single i A.det :=
   by
@@ -197,7 +197,7 @@ theorem cramer_smul (r : α) (A : Matrix n n α) :
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] [_inst_6 : Subsingleton.{succ u1} n] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), Eq.{succ u2} α (coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b i) (b i)
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] [_inst_6 : Subsingleton.{succ u1} n] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), Eq.{succ u2} α (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b i) (b i)
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] [_inst_6 : Subsingleton.{succ u1} n] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), Eq.{succ u2} α (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b i) (b i)
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_subsingleton_apply Matrix.cramer_subsingleton_applyₓ'. -/
 @[simp]
 theorem cramer_subsingleton_apply [Subsingleton n] (A : Matrix n n α) (b : n → α) (i : n) :
@@ -223,7 +223,7 @@ theorem cramer_zero [Nontrivial n] : cramer (0 : Matrix n n α) = 0 :=
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) {β : Type.{u3}} (s : Finset.{u3} β) (f : β -> n -> α), Eq.{succ (max u1 u2)} (n -> α) (Finset.sum.{max u1 u2, u3} (n -> α) β (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) s (fun (x : β) => coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α 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_inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) 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 but is expected to have type
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(NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (Matrix.cramer.{u2, u3} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) (f x))) (FunLike.coe.{max (succ u2) 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: n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max u2 u3, max u2 u3} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (Matrix.cramer.{u2, u3} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) (Finset.sum.{max u2 u3, u1} (n -> α) β (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) s (fun (x : β) => f x)))
+  forall {n : Type.{u2}} {α : Type.{u3}} [_inst_1 : DecidableEq.{succ u2} n] [_inst_2 : Fintype.{u2} n] [_inst_5 : CommRing.{u3} α] (A : Matrix.{u2, u2, u3} n n α) {β : Type.{u1}} (s : Finset.{u1} β) (f : β -> n -> α), Eq.{max (succ u2) (succ u3)} (n -> α) (Finset.sum.{max u2 u3, u1} (n -> α) β (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) s (fun (x : β) => FunLike.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u3, u3, max u2 u3, max u2 u3} α α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u2, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max u2 u3, max u2 u3} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (Matrix.cramer.{u2, u3} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) (f x))) (FunLike.coe.{max (succ u2) 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α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max u2 u3, max u2 u3} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (Matrix.cramer.{u2, u3} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) (Finset.sum.{max u2 u3, u1} (n -> α) β (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) s (fun (x : β) => f x)))
 Case conversion may be inaccurate. Consider using '#align matrix.sum_cramer Matrix.sum_cramerₓ'. -/
 /-- Use linearity of `cramer` to take it out of a summation. -/
 theorem sum_cramer {β} (s : Finset β) (f : β → n → α) :
@@ -235,7 +235,7 @@ theorem sum_cramer {β} (s : Finset β) (f : β → n → α) :
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) {β : Type.{u3}} (s : Finset.{u3} β) (f : n -> β -> α) (i : n), Eq.{succ u2} α (Finset.sum.{u2, u3} α β (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) s (fun (x : β) => coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α 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(Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => 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(AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α 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(NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) (fun (j : n) => Finset.sum.{u2, u3} α β (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) s (fun (x : β) => f j x)) i)
 but is expected to have type
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_inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (Matrix.cramer.{u2, u3} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) (fun (j : n) => f j x) i)) (FunLike.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u3, 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(Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max u2 u3, max u2 u3} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (Matrix.cramer.{u2, u3} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) (fun (j : n) => Finset.sum.{u3, u1} α β (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) s (fun (x : β) => f j x)) i)
+  forall {n : Type.{u2}} {α : Type.{u3}} [_inst_1 : DecidableEq.{succ u2} n] [_inst_2 : Fintype.{u2} n] [_inst_5 : CommRing.{u3} α] (A : Matrix.{u2, u2, u3} n n α) {β : Type.{u1}} (s : Finset.{u1} β) (f : n -> β -> α) (i : n), Eq.{succ u3} α (Finset.sum.{u3, u1} α β (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) s (fun (x : β) => FunLike.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u3, u3, max u2 u3, max u2 u3} α α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u2, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max u2 u3, max u2 u3} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (Matrix.cramer.{u2, u3} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) (fun (j : n) => f j x) i)) (FunLike.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u3, 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(Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max u2 u3, max u2 u3} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (Matrix.cramer.{u2, u3} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) (fun (j : n) => Finset.sum.{u3, u1} α β (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) s (fun (x : β) => f j x)) i)
 Case conversion may be inaccurate. Consider using '#align matrix.sum_cramer_apply Matrix.sum_cramer_applyₓ'. -/
 /-- Use linearity of `cramer` and vector evaluation to take `cramer A _ i` out of a summation. -/
 theorem sum_cramer_apply {β} (s : Finset β) (f : n → β → α) (i : n) :
@@ -255,7 +255,7 @@ theorem sum_cramer_apply {β} (s : Finset β) (f : n → β → α) (i : n) :
 lean 3 declaration is
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(NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u1, u3} m (fun (ᾰ : m) => α) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u1, u3, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : m) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : m) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u1, u3, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : m) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : m) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (Matrix.cramer.{u1, u3} m α (fun (a : m) (b : m) => _inst_3 a b) _inst_4 _inst_5 A) (Function.comp.{succ u1, succ u2, succ u3} m n α b (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (Equiv.{succ u1, succ u2} m n) m (fun (_x : m) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : m) => n) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u2} m n) (Equiv.symm.{succ u2, succ u1} n m e)))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (Equiv.{succ u2, succ u1} n m) n (fun (_x : n) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : n) => m) _x) (Equiv.instFunLikeEquiv.{succ u2, succ u1} n m) e))
+  forall {m : Type.{u1}} {n : Type.{u2}} {α : Type.{u3}} [_inst_1 : DecidableEq.{succ u2} n] [_inst_2 : Fintype.{u2} n] [_inst_3 : DecidableEq.{succ u1} m] [_inst_4 : Fintype.{u1} m] [_inst_5 : CommRing.{u3} α] (A : Matrix.{u1, u1, u3} m m α) (e : Equiv.{succ u2, succ u1} n m) (b : n -> α), Eq.{max (succ u2) (succ u3)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : n -> α) => n -> α) b) (FunLike.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u3, u3, max u2 u3, max u2 u3} α α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u2, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max u2 u3, max u2 u3} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => 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(CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (Matrix.cramer.{u2, u3} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.submatrix.{u3, u2, u1, u1, u2} n m m n α A (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (Equiv.{succ u2, succ u1} n m) n (fun (_x : n) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : n) => m) _x) (Equiv.instFunLikeEquiv.{succ u2, succ u1} n m) e) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (Equiv.{succ u2, succ u1} n m) n (fun (_x : n) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : n) => m) _x) (Equiv.instFunLikeEquiv.{succ u2, succ u1} n m) e))) b) (Function.comp.{succ u2, succ u1, succ u3} n m α (FunLike.coe.{max (succ u1) (succ u3), max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{u3, u3, max u1 u3, max u1 u3} α α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (m -> α) (m -> α) (Pi.addCommMonoid.{u1, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : m) => α) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u1, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : m) => α) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u1, u3, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : m) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : m) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u1, u3, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : m) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : m) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (m -> α) (fun (_x : m -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : m -> α) => m -> α) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max u1 u3, max u1 u3} α α (m -> α) (m -> α) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (Pi.addCommMonoid.{u1, u3} m (fun (ᾰ : m) => α) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u1, u3} m (fun (ᾰ : m) => α) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u1, u3, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : m) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : m) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u1, u3, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : m) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : m) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (Matrix.cramer.{u1, u3} m α (fun (a : m) (b : m) => _inst_3 a b) _inst_4 _inst_5 A) (Function.comp.{succ u1, succ u2, succ u3} m n α b (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (Equiv.{succ u1, succ u2} m n) m (fun (_x : m) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : m) => n) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u2} m n) (Equiv.symm.{succ u2, succ u1} n m e)))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (Equiv.{succ u2, succ u1} n m) n (fun (_x : n) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : n) => m) _x) (Equiv.instFunLikeEquiv.{succ u2, succ u1} n m) e))
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_submatrix_equiv Matrix.cramer_submatrix_equivₓ'. -/
 theorem cramer_submatrix_equiv (A : Matrix m m α) (e : n ≃ m) (b : n → α) :
     cramer (A.submatrix e e) b = cramer A (b ∘ e.symm) ∘ e :=
@@ -269,7 +269,7 @@ theorem cramer_submatrix_equiv (A : Matrix m m α) (e : n ≃ m) (b : n → α)
 lean 3 declaration is
   forall {m : Type.{u1}} {n : Type.{u2}} {α : Type.{u3}} [_inst_1 : DecidableEq.{succ u2} n] [_inst_2 : Fintype.{u2} n] [_inst_3 : DecidableEq.{succ u1} m] [_inst_4 : Fintype.{u1} m] [_inst_5 : CommRing.{u3} α] (e : Equiv.{succ u1, succ u2} m n) (A : Matrix.{u1, u1, u3} m m α) (b : n -> α), Eq.{max (succ u2) (succ u3)} (n -> α) (coeFn.{succ (max u2 u3), succ (max u2 u3)} (LinearMap.{u3, u3, max u2 u3, max u2 u3} α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => 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 but is expected to have type
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(CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max u2 u3, max u2 u3} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => 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+  forall {m : Type.{u1}} {n : Type.{u2}} {α : Type.{u3}} [_inst_1 : DecidableEq.{succ u2} n] [_inst_2 : Fintype.{u2} n] [_inst_3 : DecidableEq.{succ u1} m] [_inst_4 : Fintype.{u1} m] [_inst_5 : CommRing.{u3} α] (e : Equiv.{succ u1, succ u2} m n) (A : Matrix.{u1, u1, u3} m m α) (b : n -> α), Eq.{max (succ u2) (succ u3)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : n -> α) => n -> α) b) (FunLike.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u3, u3, max u2 u3, max u2 u3} α α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u2, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α 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(CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u1, u3, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : m) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : m) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (m -> α) (fun (_x : m -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : m -> α) => m -> α) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max u1 u3, max u1 u3} α α (m -> α) (m -> α) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (Pi.addCommMonoid.{u1, u3} m (fun (ᾰ : m) => α) (fun (i : 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(CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u1, u3, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : m) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : m) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (Matrix.cramer.{u1, u3} m α (fun (a : m) (b : m) => _inst_3 a b) _inst_4 _inst_5 A) (Function.comp.{succ u1, succ u2, succ u3} m n α b (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (Equiv.{succ u1, succ u2} m n) m (fun (_x : m) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : m) => n) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u2} m n) e))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (Equiv.{succ u2, succ u1} n m) n (fun (_x : n) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : n) => m) _x) (Equiv.instFunLikeEquiv.{succ u2, succ u1} n m) (Equiv.symm.{succ u1, succ u2} m n e)))
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_reindex Matrix.cramer_reindexₓ'. -/
 theorem cramer_reindex (e : m ≃ n) (A : Matrix m m α) (b : n → α) :
     cramer (reindex e e A) b = cramer A (b ∘ e) ∘ e.symm :=
@@ -376,7 +376,7 @@ theorem adjugate_reindex (e : m ≃ n) (A : Matrix m m α) :
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α), Eq.{max (succ u1) (succ u2)} (n -> α) (coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b) (Matrix.mulVec.{u2, u1, u1} n n α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) _inst_2 (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b)
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α), Eq.{max (succ u1) (succ u2)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : n -> α) => n -> α) b) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b) (Matrix.mulVec.{u2, u1, u1} n n α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) _inst_2 (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b)
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α), Eq.{max (succ u1) (succ u2)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : n -> α) => n -> α) b) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b) (Matrix.mulVec.{u2, u1, u1} n n α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) _inst_2 (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b)
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_eq_adjugate_mul_vec Matrix.cramer_eq_adjugate_mulVecₓ'. -/
 /-- Since the map `b ↦ cramer A b` is linear in `b`, it must be multiplication by some matrix. This
 matrix is `A.adjugate`. -/
@@ -399,7 +399,7 @@ theorem cramer_eq_adjugate_mulVec (A : Matrix n n α) (b : n → α) :
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (i : n) (j : n) (k : n), Eq.{succ u2} α (HMul.hMul.{u2, u2, u2} α α α (instHMul.{u2} α (Distrib.toHasMul.{u2} α (Ring.toDistrib.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (A i k) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A k j)) (coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.transpose.{u2, u1, u1} n n α A)) (Pi.single.{u1, u2} n (fun (ᾰ : n) => α) (fun (a : n) (b : n) => _inst_1 a b) (fun (i : n) => MulZeroClass.toHasZero.{u2} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) k (A i k)) j)
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (i : n) (j : n) (k : n), Eq.{succ u2} α (HMul.hMul.{u2, u2, u2} α α α (instHMul.{u2} α (NonUnitalNonAssocRing.toMul.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (A i k) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A k j)) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.transpose.{u2, u1, u1} n n α A)) (Pi.single.{u1, u2} n (fun (ᾰ : n) => α) (fun (a : n) (b : n) => _inst_1 a b) (fun (i : n) => CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) k (A i k)) j)
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (i : n) (j : n) (k : n), Eq.{succ u2} α (HMul.hMul.{u2, u2, u2} α α α (instHMul.{u2} α (NonUnitalNonAssocRing.toMul.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (A i k) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A k j)) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.transpose.{u2, u1, u1} n n α A)) (Pi.single.{u1, u2} n (fun (ᾰ : n) => α) (fun (a : n) (b : n) => _inst_1 a b) (fun (i : n) => CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) k (A i k)) j)
 Case conversion may be inaccurate. Consider using '#align matrix.mul_adjugate_apply Matrix.mul_adjugate_applyₓ'. -/
 theorem mul_adjugate_apply (A : Matrix n n α) (i j k) :
     A i k * adjugate A k j = cramer Aᵀ (Pi.single k (A i k)) j := by
@@ -451,7 +451,7 @@ theorem adjugate_smul (r : α) (A : Matrix n n α) :
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α), Eq.{max (succ u1) (succ u2)} (n -> α) (Matrix.mulVec.{u2, u1, u1} n n α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) _inst_2 A (coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b)) (SMul.smul.{u2, max u1 u2} α (n -> α) (Function.hasSMul.{u1, u2, u2} n α α (Mul.toSMul.{u2} α (Distrib.toHasMul.{u2} α (Ring.toDistrib.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A) b)
 but is expected to have type
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NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b)) (HSMul.hSMul.{u2, max u1 u2, max u1 u2} α (n -> α) (n -> α) (instHSMul.{u2, max u1 u2} α (n -> α) (Pi.instSMul.{u1, u2, u2} n α (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.3226 : n) => α) (fun (i : n) => Algebra.toSMul.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A) b)
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α), Eq.{max (succ u1) (succ u2)} (n -> α) (Matrix.mulVec.{u2, u1, u1} n n α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) _inst_2 A (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b)) (HSMul.hSMul.{u2, max u1 u2, max u1 u2} α (n -> α) (n -> α) (instHSMul.{u2, max u1 u2} α (n -> α) (Pi.instSMul.{u1, u2, u2} n α (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.3226 : n) => α) (fun (i : n) => Algebra.toSMul.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A) b)
 Case conversion may be inaccurate. Consider using '#align matrix.mul_vec_cramer Matrix.mulVec_cramerₓ'. -/
 /-- A stronger form of **Cramer's rule** that allows us to solve some instances of `A ⬝ x = b` even
 if the determinant is not a unit. A sufficient (but still not necessary) condition is that `A.det`
@@ -559,7 +559,7 @@ theorem RingHom.map_adjugate {R S : Type _} [CommRing R] [CommRing S] (f : R →
 lean 3 declaration is
   forall {n : Type.{u1}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] {R : Type.{u2}} {A : Type.{u3}} {B : Type.{u4}} [_inst_6 : CommSemiring.{u2} R] [_inst_7 : CommRing.{u3} A] [_inst_8 : CommRing.{u4} B] [_inst_9 : Algebra.{u2, u3} R A _inst_6 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_7))] [_inst_10 : Algebra.{u2, u4} R B _inst_6 (Ring.toSemiring.{u4} B (CommRing.toRing.{u4} B _inst_8))] (f : AlgHom.{u2, u3, u4} R A B _inst_6 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_7)) (Ring.toSemiring.{u4} B (CommRing.toRing.{u4} B _inst_8)) _inst_9 _inst_10) (M : Matrix.{u1, u1, u3} n n A), Eq.{succ (max u1 u4)} (Matrix.{u1, u1, u4} n n B) (coeFn.{max (succ (max u1 u3)) (succ (max u1 u4)), max (succ (max u1 u3)) (succ (max u1 u4))} (AlgHom.{u2, max u1 u3, max u1 u4} R (Matrix.{u1, u1, u3} n n A) (Matrix.{u1, u1, u4} n n B) _inst_6 (Matrix.semiring.{u3, u1} n A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u4, u1} n B (Ring.toSemiring.{u4} B (CommRing.toRing.{u4} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.algebra.{u3, u1, u2} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_7)) _inst_9) (Matrix.algebra.{u4, u1, u2} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u4} B (CommRing.toRing.{u4} B _inst_8)) _inst_10)) (fun (_x : AlgHom.{u2, max u1 u3, max u1 u4} R (Matrix.{u1, u1, u3} n n A) (Matrix.{u1, u1, u4} n n B) _inst_6 (Matrix.semiring.{u3, u1} n A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u4, u1} n B (Ring.toSemiring.{u4} B (CommRing.toRing.{u4} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.algebra.{u3, u1, u2} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_7)) _inst_9) (Matrix.algebra.{u4, u1, u2} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u4} B (CommRing.toRing.{u4} B _inst_8)) _inst_10)) => (Matrix.{u1, u1, u3} n n A) -> (Matrix.{u1, u1, u4} n n B)) ([anonymous].{u2, max u1 u3, max u1 u4} R (Matrix.{u1, u1, u3} n n A) (Matrix.{u1, u1, u4} n n B) _inst_6 (Matrix.semiring.{u3, u1} n A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u4, u1} n B (Ring.toSemiring.{u4} B (CommRing.toRing.{u4} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.algebra.{u3, u1, u2} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_7)) _inst_9) (Matrix.algebra.{u4, u1, u2} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u4} B (CommRing.toRing.{u4} B _inst_8)) _inst_10)) (AlgHom.mapMatrix.{u3, u4, u1, u2} n R A B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_7)) (Ring.toSemiring.{u4} B (CommRing.toRing.{u4} B _inst_8)) _inst_9 _inst_10 f) (Matrix.adjugate.{u1, u3} n A (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_7 M)) (Matrix.adjugate.{u1, u4} n B (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_8 (coeFn.{max (succ (max u1 u3)) (succ (max u1 u4)), max (succ (max u1 u3)) (succ (max u1 u4))} (AlgHom.{u2, max u1 u3, max u1 u4} R (Matrix.{u1, u1, u3} n n A) (Matrix.{u1, u1, u4} n n B) _inst_6 (Matrix.semiring.{u3, u1} n A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u4, u1} n B (Ring.toSemiring.{u4} B (CommRing.toRing.{u4} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.algebra.{u3, u1, u2} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_7)) _inst_9) (Matrix.algebra.{u4, u1, u2} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u4} B (CommRing.toRing.{u4} B _inst_8)) _inst_10)) (fun (_x : AlgHom.{u2, max u1 u3, max u1 u4} R (Matrix.{u1, u1, u3} n n A) (Matrix.{u1, u1, u4} n n B) _inst_6 (Matrix.semiring.{u3, u1} n A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u4, u1} n B (Ring.toSemiring.{u4} B (CommRing.toRing.{u4} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.algebra.{u3, u1, u2} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_7)) _inst_9) (Matrix.algebra.{u4, u1, u2} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u4} B (CommRing.toRing.{u4} B _inst_8)) _inst_10)) => (Matrix.{u1, u1, u3} n n A) -> (Matrix.{u1, u1, u4} n n B)) ([anonymous].{u2, max u1 u3, max u1 u4} R (Matrix.{u1, u1, u3} n n A) (Matrix.{u1, u1, u4} n n B) _inst_6 (Matrix.semiring.{u3, u1} n A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u4, u1} n B (Ring.toSemiring.{u4} B (CommRing.toRing.{u4} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.algebra.{u3, u1, u2} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_7)) _inst_9) (Matrix.algebra.{u4, u1, u2} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u4} B (CommRing.toRing.{u4} B _inst_8)) _inst_10)) (AlgHom.mapMatrix.{u3, u4, u1, u2} n R A B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_7)) (Ring.toSemiring.{u4} B (CommRing.toRing.{u4} B _inst_8)) _inst_9 _inst_10 f) M))
 but is expected to have type
-  forall {n : Type.{u4}} [_inst_1 : DecidableEq.{succ u4} n] [_inst_2 : Fintype.{u4} n] {R : Type.{u3}} {A : Type.{u2}} {B : Type.{u1}} [_inst_6 : CommSemiring.{u3} R] [_inst_7 : CommRing.{u2} A] [_inst_8 : CommRing.{u1} B] [_inst_9 : Algebra.{u3, u2} R A _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7))] [_inst_10 : Algebra.{u3, u1} R B _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8))] (f : AlgHom.{u3, u2, u1} R A B _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_9 _inst_10) (M : Matrix.{u4, u4, u2} n n A), Eq.{max (succ u4) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Matrix.{u4, u4, u2} n n A) => Matrix.{u4, u4, u1} n n B) (Matrix.adjugate.{u4, u2} n A (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_7 M)) (FunLike.coe.{max (max (succ u2) (succ u1)) (succ u4), max (succ u2) (succ u4), max (succ u1) (succ u4)} (AlgHom.{u3, max u2 u4, max u1 u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10)) (Matrix.{u4, u4, u2} n n A) (fun (_x : Matrix.{u4, u4, u2} n n A) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Matrix.{u4, u4, u2} n n A) => Matrix.{u4, u4, u1} n n B) _x) (SMulHomClass.toFunLike.{max (max u2 u1) u4, u3, max u2 u4, max u1 u4} (AlgHom.{u3, max u2 u4, max u1 u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10)) R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) (SMulZeroClass.toSMul.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) (AddMonoid.toZero.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (AddCommMonoid.toAddMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))))) (DistribSMul.toSMulZeroClass.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) (AddMonoid.toAddZeroClass.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (AddCommMonoid.toAddMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))))) (DistribMulAction.toDistribSMul.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (AddCommMonoid.toAddMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))))) (Module.toDistribMulAction.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) _inst_6 (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_9)))))) (SMulZeroClass.toSMul.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (AddMonoid.toZero.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (AddCommMonoid.toAddMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))))) (DistribSMul.toSMulZeroClass.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (AddMonoid.toAddZeroClass.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (AddCommMonoid.toAddMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))))) (DistribMulAction.toDistribSMul.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (AddCommMonoid.toAddMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))))) (Module.toDistribMulAction.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10)))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u2 u1) u4, u3, max u2 u4, max u1 u4} (AlgHom.{u3, max u2 u4, max u1 u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10)) R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (AddCommMonoid.toAddMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))))) (AddCommMonoid.toAddMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) 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_inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10)) R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))) (Module.toDistribMulAction.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) (CommSemiring.toSemiring.{u3} R _inst_6) 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(Matrix.{u4, u4, u2} n n A) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (AddCommMonoid.toAddMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))))) (Module.toDistribMulAction.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) _inst_6 (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_9)))))) (SMulZeroClass.toSMul.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (AddMonoid.toZero.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (AddCommMonoid.toAddMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))))) (DistribSMul.toSMulZeroClass.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (AddMonoid.toAddZeroClass.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (AddCommMonoid.toAddMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))))) (DistribMulAction.toDistribSMul.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (AddCommMonoid.toAddMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))))) (Module.toDistribMulAction.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10)))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u2 u1) u4, u3, max u2 u4, max u1 u4} (AlgHom.{u3, max u2 u4, max u1 u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10)) R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (AddCommMonoid.toAddMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))))) (AddCommMonoid.toAddMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))))) (Module.toDistribMulAction.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) _inst_6 (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_9))) (Module.toDistribMulAction.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u2 u1) u4, u3, max u2 u4, max u1 u4} (AlgHom.{u3, max u2 u4, max u1 u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10)) R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))) (Module.toDistribMulAction.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) _inst_6 (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_9))) (Module.toDistribMulAction.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, max u2 u4, max u1 u4, max (max u2 u1) u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10) (AlgHom.{u3, max u2 u4, max u1 u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10)) (AlgHom.algHomClass.{u3, max u2 u4, max u1 u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10)))))) (AlgHom.mapMatrix.{u2, u1, u4, u3} n R A B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_9 _inst_10 f) M))
+  forall {n : Type.{u4}} [_inst_1 : DecidableEq.{succ u4} n] [_inst_2 : Fintype.{u4} n] {R : Type.{u3}} {A : Type.{u2}} {B : Type.{u1}} [_inst_6 : CommSemiring.{u3} R] [_inst_7 : CommRing.{u2} A] [_inst_8 : CommRing.{u1} B] [_inst_9 : Algebra.{u3, u2} R A _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7))] [_inst_10 : Algebra.{u3, u1} R B _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8))] (f : AlgHom.{u3, u2, u1} R A B _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_9 _inst_10) (M : Matrix.{u4, u4, u2} n n A), Eq.{max (succ u4) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Matrix.{u4, u4, u2} n n A) => Matrix.{u4, u4, u1} n n B) (Matrix.adjugate.{u4, u2} n A (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_7 M)) (FunLike.coe.{max (max (succ u2) (succ u1)) (succ u4), max (succ u2) (succ u4), max (succ u1) (succ u4)} (AlgHom.{u3, max u2 u4, max u1 u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10)) (Matrix.{u4, u4, u2} n n A) (fun (_x : Matrix.{u4, u4, u2} n n A) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Matrix.{u4, u4, u2} n n A) => Matrix.{u4, u4, u1} n n B) _x) (SMulHomClass.toFunLike.{max (max u2 u1) u4, u3, max u2 u4, max u1 u4} (AlgHom.{u3, max u2 u4, max u1 u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10)) R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) (SMulZeroClass.toSMul.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) (AddMonoid.toZero.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (AddCommMonoid.toAddMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))))) (DistribSMul.toSMulZeroClass.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) (AddMonoid.toAddZeroClass.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (AddCommMonoid.toAddMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))))) (DistribMulAction.toDistribSMul.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (AddCommMonoid.toAddMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))))) (Module.toDistribMulAction.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) _inst_6 (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_9)))))) (SMulZeroClass.toSMul.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (AddMonoid.toZero.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (AddCommMonoid.toAddMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))))) (DistribSMul.toSMulZeroClass.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (AddMonoid.toAddZeroClass.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (AddCommMonoid.toAddMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))))) (DistribMulAction.toDistribSMul.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (AddCommMonoid.toAddMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))))) (Module.toDistribMulAction.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10)))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u2 u1) u4, u3, max u2 u4, max u1 u4} (AlgHom.{u3, max u2 u4, max u1 u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10)) R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (AddCommMonoid.toAddMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))))) (AddCommMonoid.toAddMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))))) (Module.toDistribMulAction.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) _inst_6 (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_9))) (Module.toDistribMulAction.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u2 u1) u4, u3, max u2 u4, max u1 u4} (AlgHom.{u3, max u2 u4, max u1 u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10)) R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))) (Module.toDistribMulAction.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) _inst_6 (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_9))) (Module.toDistribMulAction.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, max u2 u4, max u1 u4, max (max u2 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b)) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10)) (AlgHom.algHomClass.{u3, max u2 u4, max u1 u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10)))))) (AlgHom.mapMatrix.{u2, u1, u4, u3} n R A B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_9 _inst_10 f) (Matrix.adjugate.{u4, u2} n A (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_7 M)) (Matrix.adjugate.{u4, u1} n B (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_8 (FunLike.coe.{max (max (succ u2) (succ u1)) (succ u4), max (succ u2) (succ u4), max (succ u1) (succ u4)} (AlgHom.{u3, max u2 u4, max u1 u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A 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(NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))))) (Module.toDistribMulAction.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) _inst_6 (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_9))) (Module.toDistribMulAction.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u2 u1) u4, u3, max u2 u4, max u1 u4} (AlgHom.{u3, max u2 u4, max u1 u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10)) R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))) (Module.toDistribMulAction.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) _inst_6 (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_9))) (Module.toDistribMulAction.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, max u2 u4, max u1 u4, max (max u2 u1) u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10) (AlgHom.{u3, max u2 u4, max u1 u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10)) (AlgHom.algHomClass.{u3, max u2 u4, max u1 u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10)))))) (AlgHom.mapMatrix.{u2, u1, u4, u3} n R A B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_9 _inst_10 f) M))
 Case conversion may be inaccurate. Consider using '#align alg_hom.map_adjugate AlgHom.map_adjugateₓ'. -/
 theorem AlgHom.map_adjugate {R A B : Type _} [CommSemiring R] [CommRing A] [CommRing B]
     [Algebra R A] [Algebra R B] (f : A →ₐ[R] B) (M : Matrix n n A) :

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

@@ -255,7 +255,7 @@ theorem sum_cramer_apply {β} (s : Finset β) (f : n → β → α) (i : n) :
 lean 3 declaration is
   forall {m : Type.{u1}} {n : Type.{u2}} {α : Type.{u3}} [_inst_1 : DecidableEq.{succ u2} n] [_inst_2 : Fintype.{u2} n] [_inst_3 : DecidableEq.{succ u1} m] [_inst_4 : Fintype.{u1} m] [_inst_5 : CommRing.{u3} α] (A : Matrix.{u1, u1, u3} m m α) (e : Equiv.{succ u2, succ u1} n m) (b : n -> α), Eq.{max (succ u2) (succ u3)} (n -> α) (coeFn.{succ (max u2 u3), succ (max u2 u3)} (LinearMap.{u3, u3, max u2 u3, max u2 u3} α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.Function.module.{u2, u3, u3} n α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (Pi.Function.module.{u2, u3, u3} n α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (_x : LinearMap.{u3, u3, max u2 u3, max u2 u3} α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.Function.module.{u2, u3, u3} n α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (Pi.Function.module.{u2, u3, u3} n α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u3, u3, max u2 u3, max u2 u3} α α (n -> α) (n -> α) (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.Function.module.{u2, u3, u3} n α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (Pi.Function.module.{u2, u3, u3} n α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (Matrix.cramer.{u2, u3} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.submatrix.{u3, u2, u1, u1, u2} n m m n α A (coeFn.{max 1 (max (succ u2) (succ u1)) (succ u1) (succ u2), max (succ u2) (succ u1)} (Equiv.{succ u2, succ u1} n m) (fun (_x : Equiv.{succ u2, succ u1} n m) => n -> m) (Equiv.hasCoeToFun.{succ u2, succ u1} n m) e) (coeFn.{max 1 (max (succ u2) (succ u1)) (succ u1) (succ u2), max (succ u2) (succ u1)} (Equiv.{succ u2, succ u1} n m) (fun (_x : Equiv.{succ u2, succ u1} n m) => n -> m) (Equiv.hasCoeToFun.{succ u2, succ u1} n m) e))) b) (Function.comp.{succ u2, succ u1, succ u3} n m α (coeFn.{succ (max u1 u3), succ (max u1 u3)} (LinearMap.{u3, u3, max u1 u3, max u1 u3} α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (RingHom.id.{u3} α 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 but is expected to have type
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(CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max u2 u3, max u2 u3} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (Matrix.cramer.{u2, u3} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.submatrix.{u3, u2, u1, u1, u2} n m m n α A (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (Equiv.{succ u2, succ u1} n m) n (fun (_x : n) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : n) => m) _x) (Equiv.instFunLikeEquiv.{succ u2, succ u1} n m) e) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (Equiv.{succ u2, succ u1} n m) n (fun (_x : n) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : n) => m) _x) (Equiv.instFunLikeEquiv.{succ u2, succ u1} n m) e))) b) (Function.comp.{succ u2, succ u1, succ u3} n m α (FunLike.coe.{max (succ u1) (succ u3), max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{u3, u3, max u1 u3, max u1 u3} α α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (m -> α) (m -> α) (Pi.addCommMonoid.{u1, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : m) => α) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u1, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : m) => α) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u1, u3, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : m) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : m) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u1, u3, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : m) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : m) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (m -> α) (fun (_x : m -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : m -> α) => m -> α) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max u1 u3, max u1 u3} α α (m -> α) (m -> α) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (Pi.addCommMonoid.{u1, u3} m (fun (ᾰ : m) => α) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u1, u3} m (fun (ᾰ : m) => α) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u1, u3, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : m) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : m) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u1, u3, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : m) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : m) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (Matrix.cramer.{u1, u3} m α (fun (a : m) (b : m) => _inst_3 a b) _inst_4 _inst_5 A) (Function.comp.{succ u1, succ u2, succ u3} m n α b (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (Equiv.{succ u1, succ u2} m n) m (fun (_x : m) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : m) => n) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u2} m n) (Equiv.symm.{succ u2, succ u1} n m e)))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (Equiv.{succ u2, succ u1} n m) n (fun (_x : n) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : n) => m) _x) (Equiv.instFunLikeEquiv.{succ u2, succ u1} n m) e))
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_submatrix_equiv Matrix.cramer_submatrix_equivₓ'. -/
 theorem cramer_submatrix_equiv (A : Matrix m m α) (e : n ≃ m) (b : n → α) :
     cramer (A.submatrix e e) b = cramer A (b ∘ e.symm) ∘ e :=
@@ -269,7 +269,7 @@ theorem cramer_submatrix_equiv (A : Matrix m m α) (e : n ≃ m) (b : n → α)
 lean 3 declaration is
   forall {m : Type.{u1}} {n : Type.{u2}} {α : Type.{u3}} [_inst_1 : DecidableEq.{succ u2} n] [_inst_2 : Fintype.{u2} n] [_inst_3 : DecidableEq.{succ u1} m] [_inst_4 : Fintype.{u1} m] [_inst_5 : CommRing.{u3} α] (e : Equiv.{succ u1, succ u2} m n) (A : Matrix.{u1, u1, u3} m m α) (b : n -> α), Eq.{max (succ u2) (succ u3)} (n -> α) (coeFn.{succ (max u2 u3), succ (max u2 u3)} (LinearMap.{u3, u3, max u2 u3, max u2 u3} α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.Function.module.{u2, u3, u3} n α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (Pi.Function.module.{u2, u3, u3} n α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (_x : LinearMap.{u3, u3, max u2 u3, max u2 u3} α α 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 but is expected to have type
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(Equiv.instFunLikeEquiv.{succ u1, succ u2} m n) e))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (Equiv.{succ u2, succ u1} n m) n (fun (_x : n) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : n) => m) _x) (Equiv.instFunLikeEquiv.{succ u2, succ u1} n m) (Equiv.symm.{succ u1, succ u2} m n e)))
+  forall {m : Type.{u1}} {n : Type.{u2}} {α : Type.{u3}} [_inst_1 : DecidableEq.{succ u2} n] [_inst_2 : Fintype.{u2} n] [_inst_3 : DecidableEq.{succ u1} m] [_inst_4 : Fintype.{u1} m] [_inst_5 : CommRing.{u3} α] (e : Equiv.{succ u1, succ u2} m n) (A : Matrix.{u1, u1, u3} m m α) (b : n -> α), Eq.{max (succ u2) (succ u3)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : n -> α) => n -> α) b) (FunLike.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u3, u3, max u2 u3, max u2 u3} α α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u2, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max u2 u3, max u2 u3} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (Matrix.cramer.{u2, u3} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (FunLike.coe.{max (max (succ u1) (succ u2)) (succ u3), max (succ u1) (succ u3), max (succ u2) (succ u3)} (Equiv.{max (succ u3) (succ u1), max (succ u3) (succ u2)} (Matrix.{u1, u1, u3} m m α) (Matrix.{u2, u2, u3} n n α)) (Matrix.{u1, u1, u3} m m α) (fun (_x : Matrix.{u1, u1, u3} m m α) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : Matrix.{u1, u1, u3} m m α) => Matrix.{u2, u2, u3} n n α) _x) (Equiv.instFunLikeEquiv.{max (succ u1) (succ u3), max (succ u2) (succ u3)} (Matrix.{u1, u1, u3} m m α) (Matrix.{u2, u2, u3} n n α)) (Matrix.reindex.{u3, u2, u1, u1, u2} n m m n α e e) A)) b) (Function.comp.{succ u2, succ u1, succ u3} n m α (FunLike.coe.{max (succ u1) (succ u3), max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{u3, u3, max u1 u3, max u1 u3} α α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (m -> α) (m -> α) (Pi.addCommMonoid.{u1, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : m) => α) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u1, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : m) => α) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u1, u3, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : m) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : m) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u1, u3, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : m) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : m) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (m -> α) (fun (_x : m -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : m -> α) => m -> α) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max u1 u3, max u1 u3} α α (m -> α) (m -> α) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (Pi.addCommMonoid.{u1, u3} m (fun (ᾰ : m) => α) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u1, u3} m (fun (ᾰ : m) => α) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u1, u3, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : m) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : m) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u1, u3, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : m) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : m) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (Matrix.cramer.{u1, u3} m α (fun (a : m) (b : m) => _inst_3 a b) _inst_4 _inst_5 A) (Function.comp.{succ u1, succ u2, succ u3} m n α b (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (Equiv.{succ u1, succ u2} m n) m (fun (_x : m) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : m) => n) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u2} m n) e))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (Equiv.{succ u2, succ u1} n m) n (fun (_x : n) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : n) => m) _x) (Equiv.instFunLikeEquiv.{succ u2, succ u1} n m) (Equiv.symm.{succ u1, succ u2} m n e)))
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_reindex Matrix.cramer_reindexₓ'. -/
 theorem cramer_reindex (e : m ≃ n) (A : Matrix m m α) (b : n → α) :
     cramer (reindex e e A) b = cramer A (b ∘ e) ∘ e.symm :=
@@ -541,7 +541,7 @@ theorem adjugate_diagonal (v : n → α) :
 lean 3 declaration is
   forall {n : Type.{u1}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] {R : Type.{u2}} {S : Type.{u3}} [_inst_6 : CommRing.{u2} R] [_inst_7 : CommRing.{u3} S] (f : RingHom.{u2, u3} R S (NonAssocRing.toNonAssocSemiring.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_6))) (NonAssocRing.toNonAssocSemiring.{u3} S (Ring.toNonAssocRing.{u3} S (CommRing.toRing.{u3} S _inst_7)))) (M : Matrix.{u1, u1, u2} n n R), Eq.{succ (max u1 u3)} (Matrix.{u1, u1, u3} n n S) (coeFn.{max (succ (max u1 u2)) (succ (max u1 u3)), max (succ (max u1 u2)) (succ (max u1 u3))} (RingHom.{max u1 u2, max u1 u3} (Matrix.{u1, u1, u2} n n R) (Matrix.{u1, u1, u3} n n S) (Matrix.nonAssocSemiring.{u2, u1} n R (NonAssocRing.toNonAssocSemiring.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.nonAssocSemiring.{u3, u1} n S (NonAssocRing.toNonAssocSemiring.{u3} S (Ring.toNonAssocRing.{u3} S (CommRing.toRing.{u3} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))) (fun (_x : RingHom.{max u1 u2, max u1 u3} (Matrix.{u1, u1, u2} n n R) (Matrix.{u1, u1, u3} n n S) (Matrix.nonAssocSemiring.{u2, u1} n R (NonAssocRing.toNonAssocSemiring.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.nonAssocSemiring.{u3, u1} n S (NonAssocRing.toNonAssocSemiring.{u3} S (Ring.toNonAssocRing.{u3} S (CommRing.toRing.{u3} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))) => (Matrix.{u1, u1, u2} n n R) -> (Matrix.{u1, u1, u3} n n S)) (RingHom.hasCoeToFun.{max u1 u2, max u1 u3} (Matrix.{u1, u1, u2} n n R) (Matrix.{u1, u1, u3} n n S) (Matrix.nonAssocSemiring.{u2, u1} n R (NonAssocRing.toNonAssocSemiring.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.nonAssocSemiring.{u3, u1} n S (NonAssocRing.toNonAssocSemiring.{u3} S (Ring.toNonAssocRing.{u3} S (CommRing.toRing.{u3} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))) (RingHom.mapMatrix.{u2, u3, u1} n R S _inst_2 (fun (a : n) (b : n) => _inst_1 a b) (NonAssocRing.toNonAssocSemiring.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_6))) (NonAssocRing.toNonAssocSemiring.{u3} S (Ring.toNonAssocRing.{u3} S (CommRing.toRing.{u3} S _inst_7))) f) (Matrix.adjugate.{u1, u2} n R (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_6 M)) (Matrix.adjugate.{u1, u3} n S (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_7 (coeFn.{max (succ (max u1 u2)) (succ (max u1 u3)), max (succ (max u1 u2)) (succ (max u1 u3))} (RingHom.{max u1 u2, max u1 u3} (Matrix.{u1, u1, u2} n n R) (Matrix.{u1, u1, u3} n n S) (Matrix.nonAssocSemiring.{u2, u1} n R (NonAssocRing.toNonAssocSemiring.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.nonAssocSemiring.{u3, u1} n S (NonAssocRing.toNonAssocSemiring.{u3} S (Ring.toNonAssocRing.{u3} S (CommRing.toRing.{u3} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))) (fun (_x : RingHom.{max u1 u2, max u1 u3} (Matrix.{u1, u1, u2} n n R) (Matrix.{u1, u1, u3} n n S) (Matrix.nonAssocSemiring.{u2, u1} n R (NonAssocRing.toNonAssocSemiring.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.nonAssocSemiring.{u3, u1} n S (NonAssocRing.toNonAssocSemiring.{u3} S (Ring.toNonAssocRing.{u3} S (CommRing.toRing.{u3} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))) => (Matrix.{u1, u1, u2} n n R) -> (Matrix.{u1, u1, u3} n n S)) (RingHom.hasCoeToFun.{max u1 u2, max u1 u3} (Matrix.{u1, u1, u2} n n R) (Matrix.{u1, u1, u3} n n S) (Matrix.nonAssocSemiring.{u2, u1} n R (NonAssocRing.toNonAssocSemiring.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.nonAssocSemiring.{u3, u1} n S (NonAssocRing.toNonAssocSemiring.{u3} S (Ring.toNonAssocRing.{u3} S (CommRing.toRing.{u3} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))) (RingHom.mapMatrix.{u2, u3, u1} n R S _inst_2 (fun (a : n) (b : n) => _inst_1 a b) (NonAssocRing.toNonAssocSemiring.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_6))) (NonAssocRing.toNonAssocSemiring.{u3} S (Ring.toNonAssocRing.{u3} S (CommRing.toRing.{u3} S _inst_7))) f) M))
 but is expected to have type
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(CommRing.toCommSemiring.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.nonAssocSemiring.{u1, u3} n S (Semiring.toNonAssocSemiring.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))) (Matrix.{u3, u3, u2} n n R) (fun (_x : Matrix.{u3, u3, u2} n n R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Matrix.{u3, u3, u2} n n R) => Matrix.{u3, u3, u1} n n S) _x) (MulHomClass.toFunLike.{max (max u2 u1) u3, max u2 u3, max u1 u3} (RingHom.{max u2 u3, max u1 u3} (Matrix.{u3, u3, u2} n n R) (Matrix.{u3, u3, u1} n n S) (Matrix.nonAssocSemiring.{u2, u3} n R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.nonAssocSemiring.{u1, u3} n S (Semiring.toNonAssocSemiring.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))) (Matrix.{u3, u3, u2} n n R) (Matrix.{u3, u3, u1} n n S) (NonUnitalNonAssocSemiring.toMul.{max u2 u3} (Matrix.{u3, u3, u2} n n R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (Matrix.{u3, u3, u2} n n R) (Matrix.nonAssocSemiring.{u2, u3} n R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (Matrix.{u3, u3, u1} n n S) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} n n S) (Matrix.nonAssocSemiring.{u1, u3} n S (Semiring.toNonAssocSemiring.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u1) u3, max u2 u3, max u1 u3} (RingHom.{max u2 u3, max u1 u3} (Matrix.{u3, u3, u2} n n R) (Matrix.{u3, u3, u1} n n S) (Matrix.nonAssocSemiring.{u2, u3} n R 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a b)) (RingHom.instRingHomClassRingHom.{max u2 u3, max u1 u3} (Matrix.{u3, u3, u2} n n R) (Matrix.{u3, u3, u1} n n S) (Matrix.nonAssocSemiring.{u2, u3} n R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.nonAssocSemiring.{u1, u3} n S (Semiring.toNonAssocSemiring.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))))) (RingHom.mapMatrix.{u2, u1, u3} n R S _inst_2 (fun (a : n) (b : n) => _inst_1 a b) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_6))) (Semiring.toNonAssocSemiring.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_7))) f) (Matrix.adjugate.{u3, u2} n R (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_6 M)) (Matrix.adjugate.{u3, u1} n S (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_7 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(CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.nonAssocSemiring.{u1, u3} n S (Semiring.toNonAssocSemiring.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))) (Matrix.{u3, u3, u2} n n R) (Matrix.{u3, u3, u1} n n S) (NonUnitalNonAssocSemiring.toMul.{max u2 u3} (Matrix.{u3, u3, u2} n n R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (Matrix.{u3, u3, u2} n n R) (Matrix.nonAssocSemiring.{u2, u3} n R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (Matrix.{u3, u3, u1} n n S) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} n n S) (Matrix.nonAssocSemiring.{u1, u3} n S (Semiring.toNonAssocSemiring.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u1) u3, max u2 u3, max u1 u3} (RingHom.{max u2 u3, max u1 u3} (Matrix.{u3, u3, u2} n n R) (Matrix.{u3, u3, u1} n n S) (Matrix.nonAssocSemiring.{u2, u3} n R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.nonAssocSemiring.{u1, u3} n S (Semiring.toNonAssocSemiring.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))) (Matrix.{u3, u3, u2} n n R) (Matrix.{u3, u3, u1} n n S) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (Matrix.{u3, u3, u2} n n R) (Matrix.nonAssocSemiring.{u2, u3} n R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} n n S) (Matrix.nonAssocSemiring.{u1, u3} n S (Semiring.toNonAssocSemiring.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u1) u3, max u2 u3, max u1 u3} (RingHom.{max u2 u3, max u1 u3} (Matrix.{u3, u3, u2} n n R) (Matrix.{u3, u3, u1} n n S) (Matrix.nonAssocSemiring.{u2, u3} n R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.nonAssocSemiring.{u1, u3} n S (Semiring.toNonAssocSemiring.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))) (Matrix.{u3, u3, u2} n n R) (Matrix.{u3, u3, u1} n n S) (Matrix.nonAssocSemiring.{u2, u3} n R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.nonAssocSemiring.{u1, u3} n S (Semiring.toNonAssocSemiring.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (RingHom.instRingHomClassRingHom.{max u2 u3, max u1 u3} (Matrix.{u3, u3, u2} n n R) (Matrix.{u3, u3, u1} n n S) (Matrix.nonAssocSemiring.{u2, u3} n R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.nonAssocSemiring.{u1, u3} n S (Semiring.toNonAssocSemiring.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))))) (RingHom.mapMatrix.{u2, u1, u3} n R S _inst_2 (fun (a : n) (b : n) => _inst_1 a b) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_6))) (Semiring.toNonAssocSemiring.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_7))) f) M))
+  forall {n : Type.{u3}} [_inst_1 : DecidableEq.{succ u3} n] [_inst_2 : Fintype.{u3} n] {R : Type.{u2}} {S : Type.{u1}} [_inst_6 : CommRing.{u2} R] [_inst_7 : CommRing.{u1} S] (f : RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_6))) (Semiring.toNonAssocSemiring.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_7)))) (M : Matrix.{u3, u3, u2} n n R), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Matrix.{u3, u3, u2} n n R) => Matrix.{u3, u3, u1} n n S) (Matrix.adjugate.{u3, u2} n R (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_6 M)) (FunLike.coe.{max (max (succ u2) (succ u1)) (succ u3), max (succ u2) (succ u3), max (succ u1) (succ u3)} (RingHom.{max u2 u3, max u1 u3} (Matrix.{u3, u3, u2} n n R) (Matrix.{u3, u3, u1} n n S) (Matrix.nonAssocSemiring.{u2, u3} n R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.nonAssocSemiring.{u1, u3} n S (Semiring.toNonAssocSemiring.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))) (Matrix.{u3, u3, u2} n n R) (fun (_x : Matrix.{u3, u3, u2} n n R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Matrix.{u3, u3, u2} n n R) => Matrix.{u3, u3, u1} n n S) _x) (MulHomClass.toFunLike.{max (max u2 u1) u3, max u2 u3, max u1 u3} (RingHom.{max u2 u3, max u1 u3} (Matrix.{u3, u3, u2} n n R) (Matrix.{u3, u3, u1} n n S) (Matrix.nonAssocSemiring.{u2, u3} n R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.nonAssocSemiring.{u1, u3} n S (Semiring.toNonAssocSemiring.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))) (Matrix.{u3, u3, u2} n n R) (Matrix.{u3, u3, u1} n n S) (NonUnitalNonAssocSemiring.toMul.{max u2 u3} (Matrix.{u3, u3, u2} n n R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (Matrix.{u3, u3, u2} n n R) (Matrix.nonAssocSemiring.{u2, u3} n R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (Matrix.{u3, u3, u1} n n S) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} n n S) (Matrix.nonAssocSemiring.{u1, u3} n S (Semiring.toNonAssocSemiring.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u1) u3, max u2 u3, max u1 u3} (RingHom.{max u2 u3, max u1 u3} (Matrix.{u3, u3, u2} n n R) (Matrix.{u3, u3, u1} n n S) (Matrix.nonAssocSemiring.{u2, u3} n R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.nonAssocSemiring.{u1, u3} n S (Semiring.toNonAssocSemiring.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))) (Matrix.{u3, u3, u2} n n R) (Matrix.{u3, u3, u1} n n S) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (Matrix.{u3, u3, u2} n n R) (Matrix.nonAssocSemiring.{u2, u3} n R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} n n S) (Matrix.nonAssocSemiring.{u1, u3} n S (Semiring.toNonAssocSemiring.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u1) u3, max u2 u3, max u1 u3} (RingHom.{max u2 u3, max u1 u3} (Matrix.{u3, u3, u2} n n R) (Matrix.{u3, u3, u1} n n S) (Matrix.nonAssocSemiring.{u2, u3} n R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.nonAssocSemiring.{u1, u3} n S (Semiring.toNonAssocSemiring.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))) (Matrix.{u3, u3, u2} n n R) (Matrix.{u3, u3, u1} n n S) (Matrix.nonAssocSemiring.{u2, u3} n R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.nonAssocSemiring.{u1, u3} n S (Semiring.toNonAssocSemiring.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (RingHom.instRingHomClassRingHom.{max u2 u3, max u1 u3} (Matrix.{u3, u3, u2} n n R) (Matrix.{u3, u3, u1} n n S) (Matrix.nonAssocSemiring.{u2, u3} n R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.nonAssocSemiring.{u1, u3} n S (Semiring.toNonAssocSemiring.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))))) (RingHom.mapMatrix.{u2, u1, u3} n R S _inst_2 (fun (a : n) (b : n) => _inst_1 a b) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_6))) (Semiring.toNonAssocSemiring.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_7))) f) (Matrix.adjugate.{u3, u2} n R (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_6 M)) (Matrix.adjugate.{u3, u1} n S (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_7 (FunLike.coe.{max (max (succ u2) (succ u1)) (succ u3), max (succ u2) (succ u3), max (succ u1) (succ u3)} (RingHom.{max u2 u3, max u1 u3} (Matrix.{u3, u3, u2} n n R) (Matrix.{u3, u3, u1} n n S) (Matrix.nonAssocSemiring.{u2, u3} n R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.nonAssocSemiring.{u1, u3} n S (Semiring.toNonAssocSemiring.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))) (Matrix.{u3, u3, u2} n n R) (fun (_x : Matrix.{u3, u3, u2} n n R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Matrix.{u3, u3, u2} n n R) => Matrix.{u3, u3, u1} n n S) _x) (MulHomClass.toFunLike.{max (max u2 u1) u3, max u2 u3, max u1 u3} (RingHom.{max u2 u3, max u1 u3} (Matrix.{u3, u3, u2} n n R) (Matrix.{u3, u3, u1} n n S) (Matrix.nonAssocSemiring.{u2, u3} n R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.nonAssocSemiring.{u1, u3} n S (Semiring.toNonAssocSemiring.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))) (Matrix.{u3, u3, u2} n n R) (Matrix.{u3, u3, u1} n n S) (NonUnitalNonAssocSemiring.toMul.{max u2 u3} (Matrix.{u3, u3, u2} n n R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (Matrix.{u3, u3, u2} n n R) (Matrix.nonAssocSemiring.{u2, u3} n R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (Matrix.{u3, u3, u1} n n S) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} n n S) (Matrix.nonAssocSemiring.{u1, u3} n S (Semiring.toNonAssocSemiring.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u1) u3, max u2 u3, max u1 u3} (RingHom.{max u2 u3, max u1 u3} (Matrix.{u3, u3, u2} n n R) (Matrix.{u3, u3, u1} n n S) (Matrix.nonAssocSemiring.{u2, u3} n R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.nonAssocSemiring.{u1, u3} n S (Semiring.toNonAssocSemiring.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))) (Matrix.{u3, u3, u2} n n R) (Matrix.{u3, u3, u1} n n S) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (Matrix.{u3, u3, u2} n n R) (Matrix.nonAssocSemiring.{u2, u3} n R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} n n S) (Matrix.nonAssocSemiring.{u1, u3} n S (Semiring.toNonAssocSemiring.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u1) u3, max u2 u3, max u1 u3} (RingHom.{max u2 u3, max u1 u3} (Matrix.{u3, u3, u2} n n R) (Matrix.{u3, u3, u1} n n S) (Matrix.nonAssocSemiring.{u2, u3} n R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.nonAssocSemiring.{u1, u3} n S (Semiring.toNonAssocSemiring.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))) (Matrix.{u3, u3, u2} n n R) (Matrix.{u3, u3, u1} n n S) (Matrix.nonAssocSemiring.{u2, u3} n R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.nonAssocSemiring.{u1, u3} n S (Semiring.toNonAssocSemiring.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (RingHom.instRingHomClassRingHom.{max u2 u3, max u1 u3} (Matrix.{u3, u3, u2} n n R) (Matrix.{u3, u3, u1} n n S) (Matrix.nonAssocSemiring.{u2, u3} n R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.nonAssocSemiring.{u1, u3} n S (Semiring.toNonAssocSemiring.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))))) (RingHom.mapMatrix.{u2, u1, u3} n R S _inst_2 (fun (a : n) (b : n) => _inst_1 a b) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_6))) (Semiring.toNonAssocSemiring.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_7))) f) M))
 Case conversion may be inaccurate. Consider using '#align ring_hom.map_adjugate RingHom.map_adjugateₓ'. -/
 theorem RingHom.map_adjugate {R S : Type _} [CommRing R] [CommRing S] (f : R →+* S)
     (M : Matrix n n R) : f.mapMatrix M.adjugate = Matrix.adjugate (f.mapMatrix M) :=
@@ -620,7 +620,7 @@ theorem adjugate_fin_one (A : Matrix (Fin 1) (Fin 1) α) : adjugate A = 1 :=
 lean 3 declaration is
   forall {α : Type.{u1}} [_inst_5 : CommRing.{u1} α] (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))))) α), Eq.{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))))) α) (Matrix.adjugate.{0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) α (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))))) _inst_5 A) (coeFn.{succ u1, succ u1} (Equiv.{succ u1, succ 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))))) -> α) (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))))) α)) (fun (_x : Equiv.{succ u1, succ 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))))) -> α) (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))))) α)) => ((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))))) -> α) -> (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))))) α)) (Equiv.hasCoeToFun.{succ u1, succ 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))))) -> α) (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))))) α)) (Matrix.of.{u1, 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))))) α) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> α) (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))) (Matrix.vecCons.{u1} α (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))) (A (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)))))) (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))))))) (Matrix.vecCons.{u1} α (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero))) (Neg.neg.{u1} α (SubNegMonoid.toHasNeg.{u1} α (AddGroup.toSubNegMonoid.{u1} α (AddGroupWithOne.toAddGroup.{u1} α (AddCommGroupWithOne.toAddGroupWithOne.{u1} α (Ring.toAddCommGroupWithOne.{u1} α (CommRing.toRing.{u1} α _inst_5)))))) (A (OfNat.ofNat.{0} (Fin (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 0 (OfNat.mk.{0} (Fin (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 0 (Zero.zero.{0} (Fin (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (Fin.hasZeroOfNeZero (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)))))) (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)))))))) (Matrix.vecEmpty.{u1} α))) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> α) (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero))) (Matrix.vecCons.{u1} α (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))) (Neg.neg.{u1} α (SubNegMonoid.toHasNeg.{u1} α (AddGroup.toSubNegMonoid.{u1} α (AddGroupWithOne.toAddGroup.{u1} α (AddCommGroupWithOne.toAddGroupWithOne.{u1} α (Ring.toAddCommGroupWithOne.{u1} α (CommRing.toRing.{u1} α _inst_5)))))) (A (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)))))) (OfNat.ofNat.{0} (Fin (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 0 (OfNat.mk.{0} (Fin (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 0 (Zero.zero.{0} (Fin (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (Fin.hasZeroOfNeZero (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)))))))) (Matrix.vecCons.{u1} α (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero))) (A (OfNat.ofNat.{0} (Fin (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 0 (OfNat.mk.{0} (Fin (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 0 (Zero.zero.{0} (Fin (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (Fin.hasZeroOfNeZero (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)))))) (OfNat.ofNat.{0} (Fin (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 0 (OfNat.mk.{0} (Fin (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 0 (Zero.zero.{0} (Fin (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (Fin.hasZeroOfNeZero (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))))))) (Matrix.vecEmpty.{u1} α))) (Matrix.vecEmpty.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> α)))))
 but is expected to have type
-  forall {α : Type.{u1}} [_inst_5 : CommRing.{u1} α] (A : Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) α), Eq.{succ u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) α) (Matrix.adjugate.{0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) α (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))) _inst_5 A) (FunLike.coe.{succ u1, succ u1, succ u1} (Equiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> α) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) α)) ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> α) (fun (_x : (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> α) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> α) => Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) α) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> α) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) α)) (Matrix.of.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) α) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> α) (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) (Matrix.vecCons.{u1} α (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) (A (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))))) (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)))))) (Matrix.vecCons.{u1} α (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) (Neg.neg.{u1} α (Ring.toNeg.{u1} α (CommRing.toRing.{u1} α _inst_5)) (A (OfNat.ofNat.{0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) 0 (Fin.instOfNatFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) 0 (NeZero.succ (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (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))))))) (Matrix.vecEmpty.{u1} α))) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> α) (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) (Matrix.vecCons.{u1} α (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) (Neg.neg.{u1} α (Ring.toNeg.{u1} α (CommRing.toRing.{u1} α _inst_5)) (A (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))))) (OfNat.ofNat.{0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) 0 (Fin.instOfNatFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) 0 (NeZero.succ (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))))) (Matrix.vecCons.{u1} α (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) (A (OfNat.ofNat.{0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) 0 (Fin.instOfNatFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) 0 (NeZero.succ (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (OfNat.ofNat.{0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) 0 (Fin.instOfNatFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) 0 (NeZero.succ (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))))) (Matrix.vecEmpty.{u1} α))) (Matrix.vecEmpty.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> α)))))
+  forall {α : Type.{u1}} [_inst_5 : CommRing.{u1} α] (A : Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) α), Eq.{succ u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) α) (Matrix.adjugate.{0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) α (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))) _inst_5 A) (FunLike.coe.{succ u1, succ u1, succ u1} (Equiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> α) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) α)) ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> α) (fun (_x : (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> α) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> α) => Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) α) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> α) (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) α)) (Matrix.of.{u1, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) α) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> α) (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) (Matrix.vecCons.{u1} α (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) (A (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))))) (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)))))) (Matrix.vecCons.{u1} α (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) (Neg.neg.{u1} α (Ring.toNeg.{u1} α (CommRing.toRing.{u1} α _inst_5)) (A (OfNat.ofNat.{0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) 0 (Fin.instOfNatFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) 0 (NeZero.succ (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (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))))))) (Matrix.vecEmpty.{u1} α))) (Matrix.vecCons.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> α) (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) (Matrix.vecCons.{u1} α (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) (Neg.neg.{u1} α (Ring.toNeg.{u1} α (CommRing.toRing.{u1} α _inst_5)) (A (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))))) (OfNat.ofNat.{0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) 0 (Fin.instOfNatFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) 0 (NeZero.succ (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))))) (Matrix.vecCons.{u1} α (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) (A (OfNat.ofNat.{0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) 0 (Fin.instOfNatFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) 0 (NeZero.succ (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (OfNat.ofNat.{0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) 0 (Fin.instOfNatFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) 0 (NeZero.succ (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))))) (Matrix.vecEmpty.{u1} α))) (Matrix.vecEmpty.{u1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> α)))))
 Case conversion may be inaccurate. Consider using '#align matrix.adjugate_fin_two Matrix.adjugate_fin_twoₓ'. -/
 theorem adjugate_fin_two (A : Matrix (Fin 2) (Fin 2) α) :
     adjugate A = !![A 1 1, -A 0 1; -A 1 0, A 0 0] :=

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

@@ -117,7 +117,7 @@ def cramer (A : Matrix n n α) : (n → α) →ₗ[α] n → α :=
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), Eq.{succ u2} α (coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b i) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 (Matrix.updateColumn.{u2, u1, u1} n n α (fun (a : n) (b : n) => _inst_1 a b) A i b))
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), Eq.{succ u2} α (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b i) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 (Matrix.updateColumn.{u2, u1, u1} n n α (fun (a : n) (b : n) => _inst_1 a b) A i b))
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), Eq.{succ u2} α (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b i) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 (Matrix.updateColumn.{u2, u1, u1} n n α (fun (a : n) (b : n) => _inst_1 a b) A i b))
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_apply Matrix.cramer_applyₓ'. -/
 theorem cramer_apply (i : n) : cramer A b i = (A.updateColumn i b).det :=
   rfl
@@ -127,7 +127,7 @@ theorem cramer_apply (i : n) : cramer A b i = (A.updateColumn i b).det :=
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), Eq.{succ u2} α (coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.transpose.{u2, u1, u1} n n α A)) b i) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 (Matrix.updateRow.{u2, u1, u1} n n α (fun (a : n) (b : n) => _inst_1 a b) A i b))
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), Eq.{succ u2} α (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.transpose.{u2, u1, u1} n n α A)) b i) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 (Matrix.updateRow.{u2, u1, u1} n n α (fun (a : n) (b : n) => _inst_1 a b) A i b))
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), Eq.{succ u2} α (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.transpose.{u2, u1, u1} n n α A)) b i) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 (Matrix.updateRow.{u2, u1, u1} n n α (fun (a : n) (b : n) => _inst_1 a b) A i b))
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_transpose_apply Matrix.cramer_transpose_applyₓ'. -/
 theorem cramer_transpose_apply (i : n) : cramer Aᵀ b i = (A.updateRow i b).det := by
   rw [cramer_apply, update_column_transpose, det_transpose]
@@ -137,7 +137,7 @@ theorem cramer_transpose_apply (i : n) : cramer Aᵀ b i = (A.updateRow i b).det
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (i : n), Eq.{max (succ u1) (succ u2)} (n -> α) (coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.transpose.{u2, u1, u1} n n α A)) (A i)) (Pi.single.{u1, u2} n (fun (ᾰ : n) => α) (fun (a : n) (b : n) => _inst_1 a b) (fun (i : n) => MulZeroClass.toHasZero.{u2} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) i (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A))
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (i : n), Eq.{max (succ u1) (succ u2)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) (A i)) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.transpose.{u2, u1, u1} n n α A)) (A i)) (Pi.single.{u1, u2} n (fun (ᾰ : n) => α) (fun (a : n) (b : n) => _inst_1 a b) (fun (i : n) => CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) i (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A))
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (i : n), Eq.{max (succ u1) (succ u2)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : n -> α) => n -> α) (A i)) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.transpose.{u2, u1, u1} n n α A)) (A i)) (Pi.single.{u1, u2} n (fun (ᾰ : n) => α) (fun (a : n) (b : n) => _inst_1 a b) (fun (i : n) => CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) i (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A))
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_transpose_row_self Matrix.cramer_transpose_row_selfₓ'. -/
 theorem cramer_transpose_row_self (i : n) : Aᵀ.cramer (A i) = Pi.single i A.det :=
   by
@@ -157,7 +157,7 @@ theorem cramer_transpose_row_self (i : n) : Aᵀ.cramer (A i) = Pi.single i A.de
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), (forall (j : n), Eq.{succ u2} α (b j) (A j i)) -> (Eq.{max (succ u1) (succ u2)} (n -> α) (coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b) (Pi.single.{u1, u2} n (fun (ᾰ : n) => α) (fun (a : n) (b : n) => _inst_1 a b) (fun (i : n) => MulZeroClass.toHasZero.{u2} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) i (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A)))
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), (forall (j : n), Eq.{succ u2} α (b j) (A j i)) -> (Eq.{max (succ u1) (succ u2)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) b) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b) (Pi.single.{u1, u2} n (fun (ᾰ : n) => α) (fun (a : n) (b : n) => _inst_1 a b) (fun (i : n) => CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) i (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A)))
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), (forall (j : n), Eq.{succ u2} α (b j) (A j i)) -> (Eq.{max (succ u1) (succ u2)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : n -> α) => n -> α) b) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b) (Pi.single.{u1, u2} n (fun (ᾰ : n) => α) (fun (a : n) (b : n) => _inst_1 a b) (fun (i : n) => CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) i (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A)))
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_row_self Matrix.cramer_row_selfₓ'. -/
 theorem cramer_row_self (i : n) (h : ∀ j, b j = A j i) : A.cramer b = Pi.single i A.det :=
   by
@@ -197,7 +197,7 @@ theorem cramer_smul (r : α) (A : Matrix n n α) :
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] [_inst_6 : Subsingleton.{succ u1} n] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), Eq.{succ u2} α (coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b i) (b i)
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] [_inst_6 : Subsingleton.{succ u1} n] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), Eq.{succ u2} α (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b i) (b i)
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] [_inst_6 : Subsingleton.{succ u1} n] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), Eq.{succ u2} α (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b i) (b i)
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_subsingleton_apply Matrix.cramer_subsingleton_applyₓ'. -/
 @[simp]
 theorem cramer_subsingleton_apply [Subsingleton n] (A : Matrix n n α) (b : n → α) (i : n) :
@@ -223,7 +223,7 @@ theorem cramer_zero [Nontrivial n] : cramer (0 : Matrix n n α) = 0 :=
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) {β : Type.{u3}} (s : Finset.{u3} β) (f : β -> n -> α), Eq.{succ (max u1 u2)} (n -> α) (Finset.sum.{max u1 u2, u3} (n -> α) β (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) s (fun (x : β) => coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α 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_inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) 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 but is expected to have type
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(NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (Matrix.cramer.{u2, u3} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) (f x))) (FunLike.coe.{max (succ u2) 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: n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max u2 u3, max u2 u3} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (Matrix.cramer.{u2, u3} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) (Finset.sum.{max u2 u3, u1} (n -> α) β (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) s (fun (x : β) => f x)))
+  forall {n : Type.{u2}} {α : Type.{u3}} [_inst_1 : DecidableEq.{succ u2} n] [_inst_2 : Fintype.{u2} n] [_inst_5 : CommRing.{u3} α] (A : Matrix.{u2, u2, u3} n n α) {β : Type.{u1}} (s : Finset.{u1} β) (f : β -> n -> α), Eq.{max (succ u2) (succ u3)} (n -> α) (Finset.sum.{max u2 u3, u1} (n -> α) β (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) s (fun (x : β) => FunLike.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u3, u3, max u2 u3, max u2 u3} α α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u2, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max u2 u3, max u2 u3} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (Matrix.cramer.{u2, u3} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) (f x))) (FunLike.coe.{max (succ u2) 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α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max u2 u3, max u2 u3} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (Matrix.cramer.{u2, u3} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) (Finset.sum.{max u2 u3, u1} (n -> α) β (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) s (fun (x : β) => f x)))
 Case conversion may be inaccurate. Consider using '#align matrix.sum_cramer Matrix.sum_cramerₓ'. -/
 /-- Use linearity of `cramer` to take it out of a summation. -/
 theorem sum_cramer {β} (s : Finset β) (f : β → n → α) :
@@ -235,7 +235,7 @@ theorem sum_cramer {β} (s : Finset β) (f : β → n → α) :
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) {β : Type.{u3}} (s : Finset.{u3} β) (f : n -> β -> α) (i : n), Eq.{succ u2} α (Finset.sum.{u2, u3} α β (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) s (fun (x : β) => coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α 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(Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => 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(AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α 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(NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) (fun (j : n) => Finset.sum.{u2, u3} α β (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) s (fun (x : β) => f j x)) i)
 but is expected to have type
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_inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (Matrix.cramer.{u2, u3} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) (fun (j : n) => f j x) i)) (FunLike.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u3, 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(Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max u2 u3, max u2 u3} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (Matrix.cramer.{u2, u3} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) (fun (j : n) => Finset.sum.{u3, u1} α β (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) s (fun (x : β) => f j x)) i)
+  forall {n : Type.{u2}} {α : Type.{u3}} [_inst_1 : DecidableEq.{succ u2} n] [_inst_2 : Fintype.{u2} n] [_inst_5 : CommRing.{u3} α] (A : Matrix.{u2, u2, u3} n n α) {β : Type.{u1}} (s : Finset.{u1} β) (f : n -> β -> α) (i : n), Eq.{succ u3} α (Finset.sum.{u3, u1} α β (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) s (fun (x : β) => FunLike.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u3, u3, max u2 u3, max u2 u3} α α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u2, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max u2 u3, max u2 u3} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (Matrix.cramer.{u2, u3} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) (fun (j : n) => f j x) i)) (FunLike.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u3, u3, max u2 u3, max u2 u3} α α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u2, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max u2 u3, max u2 u3} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (Matrix.cramer.{u2, u3} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) (fun (j : n) => Finset.sum.{u3, u1} α β (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) s (fun (x : β) => f j x)) i)
 Case conversion may be inaccurate. Consider using '#align matrix.sum_cramer_apply Matrix.sum_cramer_applyₓ'. -/
 /-- Use linearity of `cramer` and vector evaluation to take `cramer A _ i` out of a summation. -/
 theorem sum_cramer_apply {β} (s : Finset β) (f : n → β → α) (i : n) :
@@ -255,7 +255,7 @@ theorem sum_cramer_apply {β} (s : Finset β) (f : n → β → α) (i : n) :
 lean 3 declaration is
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(NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u1, u3} m (fun (ᾰ : m) => α) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u1, u3, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : m) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : m) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u1, u3, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : m) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : m) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (Matrix.cramer.{u1, u3} m α (fun (a : m) (b : m) => _inst_3 a b) _inst_4 _inst_5 A) (Function.comp.{succ u1, succ u2, succ u3} m n α b (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (Equiv.{succ u1, succ u2} m n) m (fun (_x : m) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : m) => n) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u2} m n) (Equiv.symm.{succ u2, succ u1} n m e)))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (Equiv.{succ u2, succ u1} n m) n (fun (_x : n) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : n) => m) _x) (Equiv.instFunLikeEquiv.{succ u2, succ u1} n m) e))
+  forall {m : Type.{u1}} {n : Type.{u2}} {α : Type.{u3}} [_inst_1 : DecidableEq.{succ u2} n] [_inst_2 : Fintype.{u2} n] [_inst_3 : DecidableEq.{succ u1} m] [_inst_4 : Fintype.{u1} m] [_inst_5 : CommRing.{u3} α] (A : Matrix.{u1, u1, u3} m m α) (e : Equiv.{succ u2, succ u1} n m) (b : n -> α), Eq.{max (succ u2) (succ u3)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : n -> α) => n -> α) b) (FunLike.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u3, u3, max u2 u3, max u2 u3} α α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u2, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max u2 u3, max u2 u3} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => 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(CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (Matrix.cramer.{u2, u3} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.submatrix.{u3, u2, u1, u1, u2} n m m n α A (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (Equiv.{succ u2, succ u1} n m) n (fun (_x : n) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : n) => m) _x) (Equiv.instFunLikeEquiv.{succ u2, succ u1} n m) e) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (Equiv.{succ u2, succ u1} n m) n (fun (_x : n) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : n) => m) _x) (Equiv.instFunLikeEquiv.{succ u2, succ u1} n m) e))) b) (Function.comp.{succ u2, succ u1, succ u3} n m α (FunLike.coe.{max (succ u1) (succ u3), max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{u3, u3, max u1 u3, max u1 u3} α α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (m -> α) (m -> α) (Pi.addCommMonoid.{u1, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : m) => α) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u1, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : m) => α) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u1, u3, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : m) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : m) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u1, u3, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : m) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : m) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (m -> α) (fun (_x : m -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : m -> α) => m -> α) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max u1 u3, max u1 u3} α α (m -> α) (m -> α) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (Pi.addCommMonoid.{u1, u3} m (fun (ᾰ : m) => α) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u1, u3} m (fun (ᾰ : m) => α) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u1, u3, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : m) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : m) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u1, u3, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : m) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : m) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (Matrix.cramer.{u1, u3} m α (fun (a : m) (b : m) => _inst_3 a b) _inst_4 _inst_5 A) (Function.comp.{succ u1, succ u2, succ u3} m n α b (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (Equiv.{succ u1, succ u2} m n) m (fun (_x : m) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : m) => n) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u2} m n) (Equiv.symm.{succ u2, succ u1} n m e)))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (Equiv.{succ u2, succ u1} n m) n (fun (_x : n) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : n) => m) _x) (Equiv.instFunLikeEquiv.{succ u2, succ u1} n m) e))
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_submatrix_equiv Matrix.cramer_submatrix_equivₓ'. -/
 theorem cramer_submatrix_equiv (A : Matrix m m α) (e : n ≃ m) (b : n → α) :
     cramer (A.submatrix e e) b = cramer A (b ∘ e.symm) ∘ e :=
@@ -269,7 +269,7 @@ theorem cramer_submatrix_equiv (A : Matrix m m α) (e : n ≃ m) (b : n → α)
 lean 3 declaration is
   forall {m : Type.{u1}} {n : Type.{u2}} {α : Type.{u3}} [_inst_1 : DecidableEq.{succ u2} n] [_inst_2 : Fintype.{u2} n] [_inst_3 : DecidableEq.{succ u1} m] [_inst_4 : Fintype.{u1} m] [_inst_5 : CommRing.{u3} α] (e : Equiv.{succ u1, succ u2} m n) (A : Matrix.{u1, u1, u3} m m α) (b : n -> α), Eq.{max (succ u2) (succ u3)} (n -> α) (coeFn.{succ (max u2 u3), succ (max u2 u3)} (LinearMap.{u3, u3, max u2 u3, max u2 u3} α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => 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 but is expected to have type
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+  forall {m : Type.{u1}} {n : Type.{u2}} {α : Type.{u3}} [_inst_1 : DecidableEq.{succ u2} n] [_inst_2 : Fintype.{u2} n] [_inst_3 : DecidableEq.{succ u1} m] [_inst_4 : Fintype.{u1} m] [_inst_5 : CommRing.{u3} α] (e : Equiv.{succ u1, succ u2} m n) (A : Matrix.{u1, u1, u3} m m α) (b : n -> α), Eq.{max (succ u2) (succ u3)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : n -> α) => n -> α) b) (FunLike.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u3, u3, max u2 u3, max u2 u3} α α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u2, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α 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(CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u1, u3, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : m) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : m) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (m -> α) (fun (_x : m -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : m -> α) => m -> α) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max u1 u3, max u1 u3} α α (m -> α) (m -> α) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (Pi.addCommMonoid.{u1, u3} m (fun (ᾰ : m) => α) (fun (i : 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(CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u1, u3, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : m) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : m) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (Matrix.cramer.{u1, u3} m α (fun (a : m) (b : m) => _inst_3 a b) _inst_4 _inst_5 A) (Function.comp.{succ u1, succ u2, succ u3} m n α b (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (Equiv.{succ u1, succ u2} m n) m (fun (_x : m) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : m) => n) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u2} m n) e))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (Equiv.{succ u2, succ u1} n m) n (fun (_x : n) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : n) => m) _x) (Equiv.instFunLikeEquiv.{succ u2, succ u1} n m) (Equiv.symm.{succ u1, succ u2} m n e)))
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_reindex Matrix.cramer_reindexₓ'. -/
 theorem cramer_reindex (e : m ≃ n) (A : Matrix m m α) (b : n → α) :
     cramer (reindex e e A) b = cramer A (b ∘ e) ∘ e.symm :=
@@ -376,7 +376,7 @@ theorem adjugate_reindex (e : m ≃ n) (A : Matrix m m α) :
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α), Eq.{max (succ u1) (succ u2)} (n -> α) (coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b) (Matrix.mulVec.{u2, u1, u1} n n α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) _inst_2 (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b)
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α), Eq.{max (succ u1) (succ u2)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) b) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b) (Matrix.mulVec.{u2, u1, u1} n n α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) _inst_2 (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b)
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α), Eq.{max (succ u1) (succ u2)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : n -> α) => n -> α) b) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b) (Matrix.mulVec.{u2, u1, u1} n n α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) _inst_2 (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b)
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_eq_adjugate_mul_vec Matrix.cramer_eq_adjugate_mulVecₓ'. -/
 /-- Since the map `b ↦ cramer A b` is linear in `b`, it must be multiplication by some matrix. This
 matrix is `A.adjugate`. -/
@@ -399,7 +399,7 @@ theorem cramer_eq_adjugate_mulVec (A : Matrix n n α) (b : n → α) :
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (i : n) (j : n) (k : n), Eq.{succ u2} α (HMul.hMul.{u2, u2, u2} α α α (instHMul.{u2} α (Distrib.toHasMul.{u2} α (Ring.toDistrib.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (A i k) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A k j)) (coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.transpose.{u2, u1, u1} n n α A)) (Pi.single.{u1, u2} n (fun (ᾰ : n) => α) (fun (a : n) (b : n) => _inst_1 a b) (fun (i : n) => MulZeroClass.toHasZero.{u2} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) k (A i k)) j)
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (i : n) (j : n) (k : n), Eq.{succ u2} α (HMul.hMul.{u2, u2, u2} α α α (instHMul.{u2} α (NonUnitalNonAssocRing.toMul.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (A i k) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A k j)) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.transpose.{u2, u1, u1} n n α A)) (Pi.single.{u1, u2} n (fun (ᾰ : n) => α) (fun (a : n) (b : n) => _inst_1 a b) (fun (i : n) => CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) k (A i k)) j)
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (i : n) (j : n) (k : n), Eq.{succ u2} α (HMul.hMul.{u2, u2, u2} α α α (instHMul.{u2} α (NonUnitalNonAssocRing.toMul.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (A i k) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A k j)) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.transpose.{u2, u1, u1} n n α A)) (Pi.single.{u1, u2} n (fun (ᾰ : n) => α) (fun (a : n) (b : n) => _inst_1 a b) (fun (i : n) => CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) k (A i k)) j)
 Case conversion may be inaccurate. Consider using '#align matrix.mul_adjugate_apply Matrix.mul_adjugate_applyₓ'. -/
 theorem mul_adjugate_apply (A : Matrix n n α) (i j k) :
     A i k * adjugate A k j = cramer Aᵀ (Pi.single k (A i k)) j := by
@@ -451,7 +451,7 @@ theorem adjugate_smul (r : α) (A : Matrix n n α) :
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α), Eq.{max (succ u1) (succ u2)} (n -> α) (Matrix.mulVec.{u2, u1, u1} n n α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) _inst_2 A (coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α 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(AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b)) (SMul.smul.{u2, max u1 u2} α (n -> α) (Function.hasSMul.{u1, u2, u2} n α α (Mul.toSMul.{u2} α (Distrib.toHasMul.{u2} α (Ring.toDistrib.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A) b)
 but is expected to have type
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(CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b)) (HSMul.hSMul.{u2, max u1 u2, max u1 u2} α (n -> α) (n -> α) (instHSMul.{u2, max u1 u2} α (n -> α) (Pi.instSMul.{u1, u2, u2} n α (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.3226 : n) => α) (fun (i : n) => Algebra.toSMul.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A) b)
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α), Eq.{max (succ u1) (succ u2)} (n -> α) (Matrix.mulVec.{u2, u1, u1} n n α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) _inst_2 A (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b)) (HSMul.hSMul.{u2, max u1 u2, max u1 u2} α (n -> α) (n -> α) (instHSMul.{u2, max u1 u2} α (n -> α) (Pi.instSMul.{u1, u2, u2} n α (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.3226 : n) => α) (fun (i : n) => Algebra.toSMul.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A) b)
 Case conversion may be inaccurate. Consider using '#align matrix.mul_vec_cramer Matrix.mulVec_cramerₓ'. -/
 /-- A stronger form of **Cramer's rule** that allows us to solve some instances of `A ⬝ x = b` even
 if the determinant is not a unit. A sufficient (but still not necessary) condition is that `A.det`

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

@@ -117,7 +117,7 @@ def cramer (A : Matrix n n α) : (n → α) →ₗ[α] n → α :=
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), Eq.{succ u2} α (coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b i) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 (Matrix.updateColumn.{u2, u1, u1} n n α (fun (a : n) (b : n) => _inst_1 a b) A i b))
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), Eq.{succ u2} α (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b i) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 (Matrix.updateColumn.{u2, u1, u1} n n α (fun (a : n) (b : n) => _inst_1 a b) A i b))
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), Eq.{succ u2} α (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b i) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 (Matrix.updateColumn.{u2, u1, u1} n n α (fun (a : n) (b : n) => _inst_1 a b) A i b))
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_apply Matrix.cramer_applyₓ'. -/
 theorem cramer_apply (i : n) : cramer A b i = (A.updateColumn i b).det :=
   rfl
@@ -127,7 +127,7 @@ theorem cramer_apply (i : n) : cramer A b i = (A.updateColumn i b).det :=
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), Eq.{succ u2} α (coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.transpose.{u2, u1, u1} n n α A)) b i) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 (Matrix.updateRow.{u2, u1, u1} n n α (fun (a : n) (b : n) => _inst_1 a b) A i b))
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), Eq.{succ u2} α (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.transpose.{u2, u1, u1} n n α A)) b i) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 (Matrix.updateRow.{u2, u1, u1} n n α (fun (a : n) (b : n) => _inst_1 a b) A i b))
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), Eq.{succ u2} α (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.transpose.{u2, u1, u1} n n α A)) b i) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 (Matrix.updateRow.{u2, u1, u1} n n α (fun (a : n) (b : n) => _inst_1 a b) A i b))
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_transpose_apply Matrix.cramer_transpose_applyₓ'. -/
 theorem cramer_transpose_apply (i : n) : cramer Aᵀ b i = (A.updateRow i b).det := by
   rw [cramer_apply, update_column_transpose, det_transpose]
@@ -137,7 +137,7 @@ theorem cramer_transpose_apply (i : n) : cramer Aᵀ b i = (A.updateRow i b).det
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (i : n), Eq.{max (succ u1) (succ u2)} (n -> α) (coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.transpose.{u2, u1, u1} n n α A)) (A i)) (Pi.single.{u1, u2} n (fun (ᾰ : n) => α) (fun (a : n) (b : n) => _inst_1 a b) (fun (i : n) => MulZeroClass.toHasZero.{u2} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) i (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A))
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (i : n), Eq.{max (succ u1) (succ u2)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) (A i)) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.transpose.{u2, u1, u1} n n α A)) (A i)) (Pi.single.{u1, u2} n (fun (ᾰ : n) => α) (fun (a : n) (b : n) => _inst_1 a b) (fun (i : n) => CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) i (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A))
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (i : n), Eq.{max (succ u1) (succ u2)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) (A i)) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.transpose.{u2, u1, u1} n n α A)) (A i)) (Pi.single.{u1, u2} n (fun (ᾰ : n) => α) (fun (a : n) (b : n) => _inst_1 a b) (fun (i : n) => CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) i (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A))
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_transpose_row_self Matrix.cramer_transpose_row_selfₓ'. -/
 theorem cramer_transpose_row_self (i : n) : Aᵀ.cramer (A i) = Pi.single i A.det :=
   by
@@ -157,7 +157,7 @@ theorem cramer_transpose_row_self (i : n) : Aᵀ.cramer (A i) = Pi.single i A.de
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), (forall (j : n), Eq.{succ u2} α (b j) (A j i)) -> (Eq.{max (succ u1) (succ u2)} (n -> α) (coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b) (Pi.single.{u1, u2} n (fun (ᾰ : n) => α) (fun (a : n) (b : n) => _inst_1 a b) (fun (i : n) => MulZeroClass.toHasZero.{u2} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) i (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A)))
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), (forall (j : n), Eq.{succ u2} α (b j) (A j i)) -> (Eq.{max (succ u1) (succ u2)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) b) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b) (Pi.single.{u1, u2} n (fun (ᾰ : n) => α) (fun (a : n) (b : n) => _inst_1 a b) (fun (i : n) => CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) i (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A)))
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), (forall (j : n), Eq.{succ u2} α (b j) (A j i)) -> (Eq.{max (succ u1) (succ u2)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) b) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b) (Pi.single.{u1, u2} n (fun (ᾰ : n) => α) (fun (a : n) (b : n) => _inst_1 a b) (fun (i : n) => CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) i (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A)))
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_row_self Matrix.cramer_row_selfₓ'. -/
 theorem cramer_row_self (i : n) (h : ∀ j, b j = A j i) : A.cramer b = Pi.single i A.det :=
   by
@@ -170,7 +170,7 @@ theorem cramer_row_self (i : n) (h : ∀ j, b j = A j i) : A.cramer b = Pi.singl
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α], Eq.{succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (OfNat.ofNat.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 1 (OfNat.mk.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 1 (One.one.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Matrix.hasOne.{u2, u1} n α (fun (a : n) (b : n) => _inst_1 a b) (MulZeroClass.toHasZero.{u2} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (AddMonoidWithOne.toOne.{u2} α (AddGroupWithOne.toAddMonoidWithOne.{u2} α (AddCommGroupWithOne.toAddGroupWithOne.{u2} α (Ring.toAddCommGroupWithOne.{u2} α (CommRing.toRing.{u2} α _inst_5)))))))))) (OfNat.ofNat.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) 1 (OfNat.mk.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) 1 (One.one.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (LinearMap.module.End.hasOne.{u2, max u1 u2} α (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))))))
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α], Eq.{max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (OfNat.ofNat.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 1 (One.toOfNat1.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Matrix.one.{u2, u1} n α (fun (a : n) (b : n) => _inst_1 a b) (CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) (Semiring.toOne.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))))) (OfNat.ofNat.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) 1 (One.toOfNat1.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (LinearMap.instOneEnd.{u2, max u1 u2} α (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))))))
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α], Eq.{max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (OfNat.ofNat.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 1 (One.toOfNat1.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Matrix.one.{u2, u1} n α (fun (a : n) (b : n) => _inst_1 a b) (CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) (Semiring.toOne.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))))) (OfNat.ofNat.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) 1 (One.toOfNat1.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (LinearMap.instOneEnd.{u2, max u1 u2} α (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))))))
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_one Matrix.cramer_oneₓ'. -/
 @[simp]
 theorem cramer_one : cramer (1 : Matrix n n α) = 1 :=
@@ -186,7 +186,7 @@ theorem cramer_one : cramer (1 : Matrix n n α) = 1 :=
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (r : α) (A : Matrix.{u1, u1, u2} n n α), Eq.{succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (SMul.smul.{u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.hasSmul.{u2, u1, u1, u2} n n α α (Mul.toSMul.{u2} α (Distrib.toHasMul.{u2} α (Ring.toDistrib.{u2} α (CommRing.toRing.{u2} α _inst_5))))) r A)) (SMul.smul.{u2, max u1 u2} α (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (LinearMap.hasSmul.{u2, u2, u2, max u1 u2, max u1 u2} α α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Ring.toMonoid.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Module.toDistribMulAction.{u2, max u1 u2} α (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Function.smulCommClass.{u1, u2, u2, u2} n α α α (Mul.toSMul.{u2} α (Distrib.toHasMul.{u2} α (Ring.toDistrib.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Mul.toSMul.{u2} α (Distrib.toHasMul.{u2} α (Ring.toDistrib.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (smulCommClass_self.{u2, u2} α α (CommRing.toCommMonoid.{u2} α _inst_5) (Monoid.toMulAction.{u2} α (CommMonoid.toMonoid.{u2} α (CommRing.toCommMonoid.{u2} α _inst_5)))))) (HPow.hPow.{u2, 0, u2} α Nat α (instHPow.{u2, 0} α Nat (Monoid.Pow.{u2} α (Ring.toMonoid.{u2} α (CommRing.toRing.{u2} α _inst_5)))) r (HSub.hSub.{0, 0, 0} Nat Nat Nat (instHSub.{0} Nat Nat.hasSub) (Fintype.card.{u1} n _inst_2) (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A))
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (r : α) (A : Matrix.{u1, u1, u2} n n α), Eq.{max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (HSMul.hSMul.{u2, max u1 u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.{u1, u1, u2} n n α) (instHSMul.{u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.smul.{u2, u1, u1, u2} n n α α (Algebra.toSMul.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) r A)) (HSMul.hSMul.{u2, max u2 u1, max u1 u2} α (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (instHSMul.{u2, max u1 u2} α (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (ᾰ : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (LinearMap.instSMulLinearMap.{u2, u2, u2, max u1 u2, max u1 u2} α α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (MonoidWithZero.toMonoid.{u2} α (Semiring.toMonoidWithZero.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.distribMulAction.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.279 : n) => α) α (MonoidWithZero.toMonoid.{u2} α (Semiring.toMonoidWithZero.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (fun (i : n) => AddMonoidWithOne.toAddMonoid.{u2} α (AddGroupWithOne.toAddMonoidWithOne.{u2} α (Ring.toAddGroupWithOne.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (fun (i : n) => Module.toDistribMulAction.{u2, u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.279 : n) => α) α α (fun (i : n) => Algebra.toSMul.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) (fun (i : n) => Algebra.toSMul.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) (fun (i : n) => smulCommClass_self.{u2, u2} α α (CommRing.toCommMonoid.{u2} α _inst_5) (MulActionWithZero.toMulAction.{u2, u2} α α (Semiring.toMonoidWithZero.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) (CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) (MonoidWithZero.toMulActionWithZero.{u2} α (Semiring.toMonoidWithZero.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))))))) (HPow.hPow.{u2, 0, u2} α Nat α (instHPow.{u2, 0} α Nat (Monoid.Pow.{u2} α (MonoidWithZero.toMonoid.{u2} α (Semiring.toMonoidWithZero.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))))) r (HSub.hSub.{0, 0, 0} Nat Nat Nat (instHSub.{0} Nat instSubNat) (Fintype.card.{u1} n _inst_2) (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A))
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (r : α) (A : Matrix.{u1, u1, u2} n n α), Eq.{max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (HSMul.hSMul.{u2, max u1 u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.{u1, u1, u2} n n α) (instHSMul.{u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.smul.{u2, u1, u1, u2} n n α α (Algebra.toSMul.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) r A)) (HSMul.hSMul.{u2, max u2 u1, max u1 u2} α (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (instHSMul.{u2, max u1 u2} α (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (ᾰ : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (LinearMap.instSMulLinearMap.{u2, u2, u2, max u1 u2, max u1 u2} α α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (MonoidWithZero.toMonoid.{u2} α (Semiring.toMonoidWithZero.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.distribMulAction.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.278 : n) => α) α (MonoidWithZero.toMonoid.{u2} α (Semiring.toMonoidWithZero.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (fun (i : n) => (fun (i : n) => AddCommMonoid.toAddMonoid.{u2} ((fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) i) ((fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) i)) i) (fun (i : n) => Module.toDistribMulAction.{u2, u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.278 : n) => α) α α (fun (i : n) => Algebra.toSMul.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) (fun (i : n) => Algebra.toSMul.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) (fun (i : n) => smulCommClass_self.{u2, u2} α α (CommRing.toCommMonoid.{u2} α _inst_5) (MulActionWithZero.toMulAction.{u2, u2} α α (Semiring.toMonoidWithZero.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) (CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) (MonoidWithZero.toMulActionWithZero.{u2} α (Semiring.toMonoidWithZero.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))))))) (HPow.hPow.{u2, 0, u2} α Nat α (instHPow.{u2, 0} α Nat (Monoid.Pow.{u2} α (MonoidWithZero.toMonoid.{u2} α (Semiring.toMonoidWithZero.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))))) r (HSub.hSub.{0, 0, 0} Nat Nat Nat (instHSub.{0} Nat instSubNat) (Fintype.card.{u1} n _inst_2) (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A))
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_smul Matrix.cramer_smulₓ'. -/
 theorem cramer_smul (r : α) (A : Matrix n n α) :
     cramer (r • A) = r ^ (Fintype.card n - 1) • cramer A :=
@@ -197,7 +197,7 @@ theorem cramer_smul (r : α) (A : Matrix n n α) :
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] [_inst_6 : Subsingleton.{succ u1} n] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), Eq.{succ u2} α (coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b i) (b i)
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] [_inst_6 : Subsingleton.{succ u1} n] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), Eq.{succ u2} α (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b i) (b i)
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] [_inst_6 : Subsingleton.{succ u1} n] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), Eq.{succ u2} α (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b i) (b i)
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_subsingleton_apply Matrix.cramer_subsingleton_applyₓ'. -/
 @[simp]
 theorem cramer_subsingleton_apply [Subsingleton n] (A : Matrix n n α) (b : n → α) (i : n) :
@@ -208,7 +208,7 @@ theorem cramer_subsingleton_apply [Subsingleton n] (A : Matrix n n α) (b : n 
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] [_inst_6 : Nontrivial.{u1} n], Eq.{succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (OfNat.ofNat.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 0 (OfNat.mk.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 0 (Zero.zero.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Matrix.hasZero.{u2, u1, u1} n n α (MulZeroClass.toHasZero.{u2} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))))))))) (OfNat.ofNat.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) 0 (OfNat.mk.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) 0 (Zero.zero.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (LinearMap.hasZero.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))))))
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] [_inst_6 : Nontrivial.{u1} n], Eq.{max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (OfNat.ofNat.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 0 (Zero.toOfNat0.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Matrix.zero.{u2, u1, u1} n n α (CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))))) (OfNat.ofNat.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) 0 (Zero.toOfNat0.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (LinearMap.instZeroLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))))))
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] [_inst_6 : Nontrivial.{u1} n], Eq.{max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (OfNat.ofNat.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 0 (Zero.toOfNat0.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Matrix.zero.{u2, u1, u1} n n α (CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))))) (OfNat.ofNat.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) 0 (Zero.toOfNat0.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (LinearMap.instZeroLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))))))
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_zero Matrix.cramer_zeroₓ'. -/
 theorem cramer_zero [Nontrivial n] : cramer (0 : Matrix n n α) = 0 :=
   by
@@ -223,7 +223,7 @@ theorem cramer_zero [Nontrivial n] : cramer (0 : Matrix n n α) = 0 :=
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) {β : Type.{u3}} (s : Finset.{u3} β) (f : β -> n -> α), Eq.{succ (max u1 u2)} (n -> α) (Finset.sum.{max u1 u2, u3} (n -> α) β (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) s (fun (x : β) => coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) 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(AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) (f x))) (coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => 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α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) (Finset.sum.{max u1 u2, u3} (n -> α) β (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) s (fun (x : β) => f x)))
 but is expected to have type
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(succ u3), max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u3, u3, max u2 u3, max u2 u3} α α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u2, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max u2 u3, max u2 u3} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (Matrix.cramer.{u2, u3} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) (Finset.sum.{max u2 u3, u1} (n -> α) β (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) s (fun (x : β) => f x)))
 Case conversion may be inaccurate. Consider using '#align matrix.sum_cramer Matrix.sum_cramerₓ'. -/
 /-- Use linearity of `cramer` to take it out of a summation. -/
 theorem sum_cramer {β} (s : Finset β) (f : β → n → α) :
@@ -235,7 +235,7 @@ theorem sum_cramer {β} (s : Finset β) (f : β → n → α) :
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) {β : Type.{u3}} (s : Finset.{u3} β) (f : n -> β -> α) (i : n), Eq.{succ u2} α (Finset.sum.{u2, u3} α β (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) s (fun (x : β) => coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) (fun (j : n) => f j x) i)) (coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) (fun (j : n) => Finset.sum.{u2, u3} α β (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) s (fun (x : β) => f j x)) i)
 but is expected to have type
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_inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (Matrix.cramer.{u2, u3} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) (fun (j : n) => f j x) i)) (FunLike.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u3, 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(Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max u2 u3, max u2 u3} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (Matrix.cramer.{u2, u3} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) (fun (j : n) => Finset.sum.{u3, u1} α β (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) s (fun (x : β) => f j x)) i)
 Case conversion may be inaccurate. Consider using '#align matrix.sum_cramer_apply Matrix.sum_cramer_applyₓ'. -/
 /-- Use linearity of `cramer` and vector evaluation to take `cramer A _ i` out of a summation. -/
 theorem sum_cramer_apply {β} (s : Finset β) (f : n → β → α) (i : n) :
@@ -255,7 +255,7 @@ theorem sum_cramer_apply {β} (s : Finset β) (f : n → β → α) (i : n) :
 lean 3 declaration is
   forall {m : Type.{u1}} {n : Type.{u2}} {α : Type.{u3}} [_inst_1 : DecidableEq.{succ u2} n] [_inst_2 : Fintype.{u2} n] [_inst_3 : DecidableEq.{succ u1} m] [_inst_4 : Fintype.{u1} m] [_inst_5 : CommRing.{u3} α] (A : Matrix.{u1, u1, u3} m m α) (e : Equiv.{succ u2, succ u1} n m) (b : n -> α), Eq.{max (succ u2) (succ u3)} (n -> α) (coeFn.{succ (max u2 u3), succ (max u2 u3)} (LinearMap.{u3, u3, max u2 u3, max u2 u3} α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.Function.module.{u2, u3, u3} n α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (Pi.Function.module.{u2, u3, u3} n α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (_x : LinearMap.{u3, u3, max u2 u3, max u2 u3} α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.Function.module.{u2, u3, u3} n α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (Pi.Function.module.{u2, u3, u3} n α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u3, u3, max u2 u3, max u2 u3} α α (n -> α) (n -> α) (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.Function.module.{u2, u3, u3} n α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (Pi.Function.module.{u2, u3, u3} n α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (Matrix.cramer.{u2, u3} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.submatrix.{u3, u2, u1, u1, u2} n m m n α A (coeFn.{max 1 (max (succ u2) (succ u1)) (succ u1) (succ u2), max (succ u2) (succ u1)} (Equiv.{succ u2, succ u1} n m) (fun (_x : Equiv.{succ u2, succ u1} n m) => n -> m) (Equiv.hasCoeToFun.{succ u2, succ u1} n m) e) (coeFn.{max 1 (max (succ u2) (succ u1)) (succ u1) (succ u2), max (succ u2) (succ u1)} (Equiv.{succ u2, succ u1} n m) (fun (_x : Equiv.{succ u2, succ u1} n m) => n -> m) (Equiv.hasCoeToFun.{succ u2, succ u1} n m) e))) b) (Function.comp.{succ u2, succ u1, succ u3} n m α (coeFn.{succ (max u1 u3), succ (max u1 u3)} (LinearMap.{u3, u3, max u1 u3, max u1 u3} α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (m -> α) (m -> α) (Pi.addCommMonoid.{u1, u3} m (fun (ᾰ : m) => α) (fun (i : m) => AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u1, u3} m (fun (ᾰ : m) => α) (fun (i : m) => AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.Function.module.{u1, u3, u3} m α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) 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(Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (Pi.Function.module.{u1, u3, u3} m α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (Matrix.cramer.{u1, u3} m α (fun (a : m) (b : m) => _inst_3 a b) _inst_4 _inst_5 A) (Function.comp.{succ u1, succ u2, succ u3} m n α b (coeFn.{max 1 (max (succ u1) (succ u2)) (succ u2) (succ u1), max (succ u1) (succ u2)} (Equiv.{succ u1, succ u2} m n) (fun (_x : Equiv.{succ u1, succ u2} m n) => m -> n) (Equiv.hasCoeToFun.{succ u1, succ u2} m n) (Equiv.symm.{succ u2, succ u1} n m e)))) (coeFn.{max 1 (max (succ u2) (succ u1)) (succ u1) (succ u2), 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 but is expected to have type
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 Case conversion may be inaccurate. Consider using '#align matrix.cramer_submatrix_equiv Matrix.cramer_submatrix_equivₓ'. -/
 theorem cramer_submatrix_equiv (A : Matrix m m α) (e : n ≃ m) (b : n → α) :
     cramer (A.submatrix e e) b = cramer A (b ∘ e.symm) ∘ e :=
@@ -269,7 +269,7 @@ theorem cramer_submatrix_equiv (A : Matrix m m α) (e : n ≃ m) (b : n → α)
 lean 3 declaration is
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 but is expected to have type
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(CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u1, u3, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : m) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : m) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (m -> α) (fun (_x : m -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : m -> α) => m -> α) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max u1 u3, max u1 u3} α α (m -> α) (m -> α) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (Pi.addCommMonoid.{u1, u3} m (fun (ᾰ : m) => α) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u1, u3} m (fun (ᾰ : m) => α) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u1, u3, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : m) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : m) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u1, u3, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : m) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : m) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (Matrix.cramer.{u1, u3} m α (fun (a : m) (b : m) => _inst_3 a b) _inst_4 _inst_5 A) (Function.comp.{succ u1, succ u2, succ u3} m n α b (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (Equiv.{succ u1, succ u2} m n) m (fun (_x : m) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : m) => n) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u2} m n) e))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (Equiv.{succ u2, succ u1} n m) n (fun (_x : n) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : n) => m) _x) (Equiv.instFunLikeEquiv.{succ u2, succ u1} n m) (Equiv.symm.{succ u1, succ u2} m n e)))
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_reindex Matrix.cramer_reindexₓ'. -/
 theorem cramer_reindex (e : m ≃ n) (A : Matrix m m α) (b : n → α) :
     cramer (reindex e e A) b = cramer A (b ∘ e) ∘ e.symm :=
@@ -376,7 +376,7 @@ theorem adjugate_reindex (e : m ≃ n) (A : Matrix m m α) :
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α), Eq.{max (succ u1) (succ u2)} (n -> α) (coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b) (Matrix.mulVec.{u2, u1, u1} n n α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) _inst_2 (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b)
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α), Eq.{max (succ u1) (succ u2)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) b) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b) (Matrix.mulVec.{u2, u1, u1} n n α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) _inst_2 (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b)
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α), Eq.{max (succ u1) (succ u2)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) b) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b) (Matrix.mulVec.{u2, u1, u1} n n α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) _inst_2 (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b)
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_eq_adjugate_mul_vec Matrix.cramer_eq_adjugate_mulVecₓ'. -/
 /-- Since the map `b ↦ cramer A b` is linear in `b`, it must be multiplication by some matrix. This
 matrix is `A.adjugate`. -/
@@ -399,7 +399,7 @@ theorem cramer_eq_adjugate_mulVec (A : Matrix n n α) (b : n → α) :
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (i : n) (j : n) (k : n), Eq.{succ u2} α (HMul.hMul.{u2, u2, u2} α α α (instHMul.{u2} α (Distrib.toHasMul.{u2} α (Ring.toDistrib.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (A i k) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A k j)) (coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.transpose.{u2, u1, u1} n n α A)) (Pi.single.{u1, u2} n (fun (ᾰ : n) => α) (fun (a : n) (b : n) => _inst_1 a b) (fun (i : n) => MulZeroClass.toHasZero.{u2} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) k (A i k)) j)
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (i : n) (j : n) (k : n), Eq.{succ u2} α (HMul.hMul.{u2, u2, u2} α α α (instHMul.{u2} α (NonUnitalNonAssocRing.toMul.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (A i k) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A k j)) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.transpose.{u2, u1, u1} n n α A)) (Pi.single.{u1, u2} n (fun (ᾰ : n) => α) (fun (a : n) (b : n) => _inst_1 a b) (fun (i : n) => CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) k (A i k)) j)
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (i : n) (j : n) (k : n), Eq.{succ u2} α (HMul.hMul.{u2, u2, u2} α α α (instHMul.{u2} α (NonUnitalNonAssocRing.toMul.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (A i k) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A k j)) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.transpose.{u2, u1, u1} n n α A)) (Pi.single.{u1, u2} n (fun (ᾰ : n) => α) (fun (a : n) (b : n) => _inst_1 a b) (fun (i : n) => CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) k (A i k)) j)
 Case conversion may be inaccurate. Consider using '#align matrix.mul_adjugate_apply Matrix.mul_adjugate_applyₓ'. -/
 theorem mul_adjugate_apply (A : Matrix n n α) (i j k) :
     A i k * adjugate A k j = cramer Aᵀ (Pi.single k (A i k)) j := by
@@ -451,7 +451,7 @@ theorem adjugate_smul (r : α) (A : Matrix n n α) :
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α), Eq.{max (succ u1) (succ u2)} (n -> α) (Matrix.mulVec.{u2, u1, u1} n n α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) _inst_2 A (coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b)) (SMul.smul.{u2, max u1 u2} α (n -> α) (Function.hasSMul.{u1, u2, u2} n α α (Mul.toSMul.{u2} α (Distrib.toHasMul.{u2} α (Ring.toDistrib.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A) b)
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α), Eq.{max (succ u1) (succ u2)} (n -> α) (Matrix.mulVec.{u2, u1, u1} n n α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) _inst_2 A (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b)) (HSMul.hSMul.{u2, max u1 u2, max u1 u2} α (n -> α) (n -> α) (instHSMul.{u2, max u1 u2} α (n -> α) (Pi.instSMul.{u1, u2, u2} n α (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.3227 : n) => α) (fun (i : n) => Algebra.toSMul.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A) b)
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α), Eq.{max (succ u1) (succ u2)} (n -> α) (Matrix.mulVec.{u2, u1, u1} n n α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) _inst_2 A (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.273 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b)) (HSMul.hSMul.{u2, max u1 u2, max u1 u2} α (n -> α) (n -> α) (instHSMul.{u2, max u1 u2} α (n -> α) (Pi.instSMul.{u1, u2, u2} n α (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.3226 : n) => α) (fun (i : n) => Algebra.toSMul.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A) b)
 Case conversion may be inaccurate. Consider using '#align matrix.mul_vec_cramer Matrix.mulVec_cramerₓ'. -/
 /-- A stronger form of **Cramer's rule** that allows us to solve some instances of `A ⬝ x = b` even
 if the determinant is not a unit. A sufficient (but still not necessary) condition is that `A.det`

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

@@ -117,7 +117,7 @@ def cramer (A : Matrix n n α) : (n → α) →ₗ[α] n → α :=
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), Eq.{succ u2} α (coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b i) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 (Matrix.updateColumn.{u2, u1, u1} n n α (fun (a : n) (b : n) => _inst_1 a b) A i b))
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), Eq.{succ u2} α (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b i) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 (Matrix.updateColumn.{u2, u1, u1} n n α (fun (a : n) (b : n) => _inst_1 a b) A i b))
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), Eq.{succ u2} α (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b i) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 (Matrix.updateColumn.{u2, u1, u1} n n α (fun (a : n) (b : n) => _inst_1 a b) A i b))
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_apply Matrix.cramer_applyₓ'. -/
 theorem cramer_apply (i : n) : cramer A b i = (A.updateColumn i b).det :=
   rfl
@@ -127,7 +127,7 @@ theorem cramer_apply (i : n) : cramer A b i = (A.updateColumn i b).det :=
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), Eq.{succ u2} α (coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.transpose.{u2, u1, u1} n n α A)) b i) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 (Matrix.updateRow.{u2, u1, u1} n n α (fun (a : n) (b : n) => _inst_1 a b) A i b))
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), Eq.{succ u2} α (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.transpose.{u2, u1, u1} n n α A)) b i) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 (Matrix.updateRow.{u2, u1, u1} n n α (fun (a : n) (b : n) => _inst_1 a b) A i b))
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), Eq.{succ u2} α (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.transpose.{u2, u1, u1} n n α A)) b i) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 (Matrix.updateRow.{u2, u1, u1} n n α (fun (a : n) (b : n) => _inst_1 a b) A i b))
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_transpose_apply Matrix.cramer_transpose_applyₓ'. -/
 theorem cramer_transpose_apply (i : n) : cramer Aᵀ b i = (A.updateRow i b).det := by
   rw [cramer_apply, update_column_transpose, det_transpose]
@@ -137,7 +137,7 @@ theorem cramer_transpose_apply (i : n) : cramer Aᵀ b i = (A.updateRow i b).det
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (i : n), Eq.{max (succ u1) (succ u2)} (n -> α) (coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.transpose.{u2, u1, u1} n n α A)) (A i)) (Pi.single.{u1, u2} n (fun (ᾰ : n) => α) (fun (a : n) (b : n) => _inst_1 a b) (fun (i : n) => MulZeroClass.toHasZero.{u2} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) i (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A))
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (i : n), Eq.{max (succ u1) (succ u2)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) (A i)) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.transpose.{u2, u1, u1} n n α A)) (A i)) (Pi.single.{u1, u2} n (fun (ᾰ : n) => α) (fun (a : n) (b : n) => _inst_1 a b) (fun (i : n) => CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) i (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A))
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (i : n), Eq.{max (succ u1) (succ u2)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) (A i)) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.transpose.{u2, u1, u1} n n α A)) (A i)) (Pi.single.{u1, u2} n (fun (ᾰ : n) => α) (fun (a : n) (b : n) => _inst_1 a b) (fun (i : n) => CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) i (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A))
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_transpose_row_self Matrix.cramer_transpose_row_selfₓ'. -/
 theorem cramer_transpose_row_self (i : n) : Aᵀ.cramer (A i) = Pi.single i A.det :=
   by
@@ -157,7 +157,7 @@ theorem cramer_transpose_row_self (i : n) : Aᵀ.cramer (A i) = Pi.single i A.de
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), (forall (j : n), Eq.{succ u2} α (b j) (A j i)) -> (Eq.{max (succ u1) (succ u2)} (n -> α) (coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b) (Pi.single.{u1, u2} n (fun (ᾰ : n) => α) (fun (a : n) (b : n) => _inst_1 a b) (fun (i : n) => MulZeroClass.toHasZero.{u2} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) i (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A)))
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), (forall (j : n), Eq.{succ u2} α (b j) (A j i)) -> (Eq.{max (succ u1) (succ u2)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) b) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b) (Pi.single.{u1, u2} n (fun (ᾰ : n) => α) (fun (a : n) (b : n) => _inst_1 a b) (fun (i : n) => CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) i (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A)))
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), (forall (j : n), Eq.{succ u2} α (b j) (A j i)) -> (Eq.{max (succ u1) (succ u2)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) b) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b) (Pi.single.{u1, u2} n (fun (ᾰ : n) => α) (fun (a : n) (b : n) => _inst_1 a b) (fun (i : n) => CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) i (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A)))
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_row_self Matrix.cramer_row_selfₓ'. -/
 theorem cramer_row_self (i : n) (h : ∀ j, b j = A j i) : A.cramer b = Pi.single i A.det :=
   by
@@ -170,7 +170,7 @@ theorem cramer_row_self (i : n) (h : ∀ j, b j = A j i) : A.cramer b = Pi.singl
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α], Eq.{succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (OfNat.ofNat.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 1 (OfNat.mk.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 1 (One.one.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Matrix.hasOne.{u2, u1} n α (fun (a : n) (b : n) => _inst_1 a b) (MulZeroClass.toHasZero.{u2} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (AddMonoidWithOne.toOne.{u2} α (AddGroupWithOne.toAddMonoidWithOne.{u2} α (AddCommGroupWithOne.toAddGroupWithOne.{u2} α (Ring.toAddCommGroupWithOne.{u2} α (CommRing.toRing.{u2} α _inst_5)))))))))) (OfNat.ofNat.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) 1 (OfNat.mk.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) 1 (One.one.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (LinearMap.module.End.hasOne.{u2, max u1 u2} α (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))))))
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α], Eq.{max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (OfNat.ofNat.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 1 (One.toOfNat1.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Matrix.one.{u2, u1} n α (fun (a : n) (b : n) => _inst_1 a b) (CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) (NonAssocRing.toOne.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))))) (OfNat.ofNat.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) 1 (One.toOfNat1.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (LinearMap.instOneEnd.{u2, max u1 u2} α (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))))))
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α], Eq.{max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (OfNat.ofNat.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 1 (One.toOfNat1.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Matrix.one.{u2, u1} n α (fun (a : n) (b : n) => _inst_1 a b) (CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) (Semiring.toOne.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))))) (OfNat.ofNat.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) 1 (One.toOfNat1.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (LinearMap.instOneEnd.{u2, max u1 u2} α (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))))))
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_one Matrix.cramer_oneₓ'. -/
 @[simp]
 theorem cramer_one : cramer (1 : Matrix n n α) = 1 :=
@@ -186,7 +186,7 @@ theorem cramer_one : cramer (1 : Matrix n n α) = 1 :=
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (r : α) (A : Matrix.{u1, u1, u2} n n α), Eq.{succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (SMul.smul.{u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.hasSmul.{u2, u1, u1, u2} n n α α (Mul.toSMul.{u2} α (Distrib.toHasMul.{u2} α (Ring.toDistrib.{u2} α (CommRing.toRing.{u2} α _inst_5))))) r A)) (SMul.smul.{u2, max u1 u2} α (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (LinearMap.hasSmul.{u2, u2, u2, max u1 u2, max u1 u2} α α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Ring.toMonoid.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Module.toDistribMulAction.{u2, max u1 u2} α (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Function.smulCommClass.{u1, u2, u2, u2} n α α α (Mul.toSMul.{u2} α (Distrib.toHasMul.{u2} α (Ring.toDistrib.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Mul.toSMul.{u2} α (Distrib.toHasMul.{u2} α (Ring.toDistrib.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (smulCommClass_self.{u2, u2} α α (CommRing.toCommMonoid.{u2} α _inst_5) (Monoid.toMulAction.{u2} α (CommMonoid.toMonoid.{u2} α (CommRing.toCommMonoid.{u2} α _inst_5)))))) (HPow.hPow.{u2, 0, u2} α Nat α (instHPow.{u2, 0} α Nat (Monoid.Pow.{u2} α (Ring.toMonoid.{u2} α (CommRing.toRing.{u2} α _inst_5)))) r (HSub.hSub.{0, 0, 0} Nat Nat Nat (instHSub.{0} Nat Nat.hasSub) (Fintype.card.{u1} n _inst_2) (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A))
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (r : α) (A : Matrix.{u1, u1, u2} n n α), Eq.{max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (HSMul.hSMul.{u2, max u1 u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.{u1, u1, u2} n n α) (instHSMul.{u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.smul.{u2, u1, u1, u2} n n α α (Algebra.toSMul.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) r A)) (HSMul.hSMul.{u2, max u2 u1, max u1 u2} α (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (instHSMul.{u2, max u1 u2} α (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (ᾰ : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (LinearMap.instSMulLinearMap.{u2, u2, u2, max u1 u2, max u1 u2} α α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (MonoidWithZero.toMonoid.{u2} α (Semiring.toMonoidWithZero.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.distribMulAction.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.279 : n) => α) α (MonoidWithZero.toMonoid.{u2} α (Semiring.toMonoidWithZero.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (fun (i : n) => AddMonoidWithOne.toAddMonoid.{u2} α (AddGroupWithOne.toAddMonoidWithOne.{u2} α (Ring.toAddGroupWithOne.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (fun (i : n) => Module.toDistribMulAction.{u2, u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.279 : n) => α) α α (fun (i : n) => Algebra.toSMul.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) (fun (i : n) => Algebra.toSMul.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) (fun (i : n) => smulCommClass_self.{u2, u2} α α (CommRing.toCommMonoid.{u2} α _inst_5) (MulActionWithZero.toMulAction.{u2, u2} α α (Semiring.toMonoidWithZero.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))) (CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) (MonoidWithZero.toMulActionWithZero.{u2} α (Semiring.toMonoidWithZero.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))))))) (HPow.hPow.{u2, 0, u2} α Nat α (instHPow.{u2, 0} α Nat (Monoid.Pow.{u2} α (MonoidWithZero.toMonoid.{u2} α (Semiring.toMonoidWithZero.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) r (HSub.hSub.{0, 0, 0} Nat Nat Nat (instHSub.{0} Nat instSubNat) (Fintype.card.{u1} n _inst_2) (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A))
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (r : α) (A : Matrix.{u1, u1, u2} n n α), Eq.{max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (HSMul.hSMul.{u2, max u1 u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.{u1, u1, u2} n n α) (instHSMul.{u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.smul.{u2, u1, u1, u2} n n α α (Algebra.toSMul.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) r A)) (HSMul.hSMul.{u2, max u2 u1, max u1 u2} α (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (instHSMul.{u2, max u1 u2} α (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (ᾰ : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (LinearMap.instSMulLinearMap.{u2, u2, u2, max u1 u2, max u1 u2} α α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (MonoidWithZero.toMonoid.{u2} α (Semiring.toMonoidWithZero.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.distribMulAction.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.279 : n) => α) α (MonoidWithZero.toMonoid.{u2} α (Semiring.toMonoidWithZero.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (fun (i : n) => AddMonoidWithOne.toAddMonoid.{u2} α (AddGroupWithOne.toAddMonoidWithOne.{u2} α (Ring.toAddGroupWithOne.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (fun (i : n) => Module.toDistribMulAction.{u2, u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.279 : n) => α) α α (fun (i : n) => Algebra.toSMul.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) (fun (i : n) => Algebra.toSMul.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) (fun (i : n) => smulCommClass_self.{u2, u2} α α (CommRing.toCommMonoid.{u2} α _inst_5) (MulActionWithZero.toMulAction.{u2, u2} α α (Semiring.toMonoidWithZero.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) (CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) (MonoidWithZero.toMulActionWithZero.{u2} α (Semiring.toMonoidWithZero.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))))))) (HPow.hPow.{u2, 0, u2} α Nat α (instHPow.{u2, 0} α Nat (Monoid.Pow.{u2} α (MonoidWithZero.toMonoid.{u2} α (Semiring.toMonoidWithZero.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))))) r (HSub.hSub.{0, 0, 0} Nat Nat Nat (instHSub.{0} Nat instSubNat) (Fintype.card.{u1} n _inst_2) (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A))
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_smul Matrix.cramer_smulₓ'. -/
 theorem cramer_smul (r : α) (A : Matrix n n α) :
     cramer (r • A) = r ^ (Fintype.card n - 1) • cramer A :=
@@ -197,7 +197,7 @@ theorem cramer_smul (r : α) (A : Matrix n n α) :
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] [_inst_6 : Subsingleton.{succ u1} n] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), Eq.{succ u2} α (coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b i) (b i)
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] [_inst_6 : Subsingleton.{succ u1} n] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), Eq.{succ u2} α (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b i) (b i)
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] [_inst_6 : Subsingleton.{succ u1} n] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), Eq.{succ u2} α (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b i) (b i)
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_subsingleton_apply Matrix.cramer_subsingleton_applyₓ'. -/
 @[simp]
 theorem cramer_subsingleton_apply [Subsingleton n] (A : Matrix n n α) (b : n → α) (i : n) :
@@ -208,7 +208,7 @@ theorem cramer_subsingleton_apply [Subsingleton n] (A : Matrix n n α) (b : n 
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] [_inst_6 : Nontrivial.{u1} n], Eq.{succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (OfNat.ofNat.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 0 (OfNat.mk.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 0 (Zero.zero.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Matrix.hasZero.{u2, u1, u1} n n α (MulZeroClass.toHasZero.{u2} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))))))))) (OfNat.ofNat.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) 0 (OfNat.mk.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) 0 (Zero.zero.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (LinearMap.hasZero.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))))))
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] [_inst_6 : Nontrivial.{u1} n], Eq.{max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (OfNat.ofNat.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 0 (Zero.toOfNat0.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Matrix.zero.{u2, u1, u1} n n α (CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))))) (OfNat.ofNat.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) 0 (Zero.toOfNat0.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (LinearMap.instZeroLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))))
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] [_inst_6 : Nontrivial.{u1} n], Eq.{max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (OfNat.ofNat.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 0 (Zero.toOfNat0.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Matrix.zero.{u2, u1, u1} n n α (CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))))) (OfNat.ofNat.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) 0 (Zero.toOfNat0.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (LinearMap.instZeroLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))))))
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_zero Matrix.cramer_zeroₓ'. -/
 theorem cramer_zero [Nontrivial n] : cramer (0 : Matrix n n α) = 0 :=
   by
@@ -223,7 +223,7 @@ theorem cramer_zero [Nontrivial n] : cramer (0 : Matrix n n α) = 0 :=
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) {β : Type.{u3}} (s : Finset.{u3} β) (f : β -> n -> α), Eq.{succ (max u1 u2)} (n -> α) (Finset.sum.{max u1 u2, u3} (n -> α) β (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) s (fun (x : β) => coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) (f x))) (coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) (Finset.sum.{max u1 u2, u3} (n -> α) β (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) s (fun (x : β) => f x)))
 but is expected to have type
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α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max u2 u3, max u2 u3} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (Matrix.cramer.{u2, u3} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) (Finset.sum.{max u2 u3, u1} (n -> α) β (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) s (fun (x : β) => f x)))
 Case conversion may be inaccurate. Consider using '#align matrix.sum_cramer Matrix.sum_cramerₓ'. -/
 /-- Use linearity of `cramer` to take it out of a summation. -/
 theorem sum_cramer {β} (s : Finset β) (f : β → n → α) :
@@ -235,7 +235,7 @@ theorem sum_cramer {β} (s : Finset β) (f : β → n → α) :
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) {β : Type.{u3}} (s : Finset.{u3} β) (f : n -> β -> α) (i : n), Eq.{succ u2} α (Finset.sum.{u2, u3} α β (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) s (fun (x : β) => coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) (fun (j : n) => f j x) i)) (coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) (fun (j : n) => Finset.sum.{u2, u3} α β (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) s (fun (x : β) => f j x)) i)
 but is expected to have type
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: n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max u2 u3, max u2 u3} α α (n -> α) (n -> α) (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α 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(NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) s (fun (x : β) => f j x)) i)
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(Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max u2 u3, max u2 u3} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (Matrix.cramer.{u2, u3} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) (fun (j : n) => Finset.sum.{u3, u1} α β (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) s (fun (x : β) => f j x)) i)
 Case conversion may be inaccurate. Consider using '#align matrix.sum_cramer_apply Matrix.sum_cramer_applyₓ'. -/
 /-- Use linearity of `cramer` and vector evaluation to take `cramer A _ i` out of a summation. -/
 theorem sum_cramer_apply {β} (s : Finset β) (f : n → β → α) (i : n) :
@@ -255,7 +255,7 @@ theorem sum_cramer_apply {β} (s : Finset β) (f : n → β → α) (i : n) :
 lean 3 declaration is
   forall {m : Type.{u1}} {n : Type.{u2}} {α : Type.{u3}} [_inst_1 : DecidableEq.{succ u2} n] [_inst_2 : Fintype.{u2} n] [_inst_3 : DecidableEq.{succ u1} m] [_inst_4 : Fintype.{u1} m] [_inst_5 : CommRing.{u3} α] (A : Matrix.{u1, u1, u3} m m α) (e : Equiv.{succ u2, succ u1} n m) (b : n -> α), Eq.{max (succ u2) (succ u3)} (n -> α) (coeFn.{succ (max u2 u3), succ (max u2 u3)} (LinearMap.{u3, u3, max u2 u3, max u2 u3} α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.Function.module.{u2, u3, u3} n α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (Pi.Function.module.{u2, u3, u3} n α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (_x : LinearMap.{u3, u3, max u2 u3, max u2 u3} α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.Function.module.{u2, u3, u3} n α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (Pi.Function.module.{u2, u3, u3} n α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u3, u3, max u2 u3, max u2 u3} α α (n -> α) (n -> α) (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.Function.module.{u2, u3, u3} n α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (Pi.Function.module.{u2, u3, u3} n α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (Matrix.cramer.{u2, u3} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.submatrix.{u3, u2, u1, u1, u2} n m m n α A (coeFn.{max 1 (max (succ u2) (succ u1)) (succ u1) (succ u2), max (succ u2) (succ u1)} (Equiv.{succ u2, succ u1} n m) (fun (_x : Equiv.{succ u2, succ u1} n m) => n -> m) (Equiv.hasCoeToFun.{succ u2, succ u1} n m) e) (coeFn.{max 1 (max (succ u2) (succ u1)) (succ u1) (succ u2), max (succ u2) (succ u1)} (Equiv.{succ u2, succ u1} n m) (fun (_x : Equiv.{succ u2, succ u1} n m) => n -> m) (Equiv.hasCoeToFun.{succ u2, succ u1} n m) e))) b) (Function.comp.{succ u2, succ u1, succ u3} n m α (coeFn.{succ (max u1 u3), succ (max u1 u3)} (LinearMap.{u3, u3, max u1 u3, max u1 u3} α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (m -> α) (m -> α) (Pi.addCommMonoid.{u1, u3} m (fun (ᾰ : m) => α) (fun (i : m) => AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u1, u3} m (fun (ᾰ : m) => α) (fun (i : m) => AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.Function.module.{u1, u3, u3} m α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) 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(Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (Pi.Function.module.{u1, u3, u3} m α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (Matrix.cramer.{u1, u3} m α (fun (a : m) (b : m) => _inst_3 a b) _inst_4 _inst_5 A) (Function.comp.{succ u1, succ u2, succ u3} m n α b (coeFn.{max 1 (max (succ u1) (succ u2)) (succ u2) (succ u1), max (succ u1) (succ u2)} (Equiv.{succ u1, succ u2} m n) (fun (_x : Equiv.{succ u1, succ u2} m n) => m -> n) (Equiv.hasCoeToFun.{succ u1, succ u2} m n) (Equiv.symm.{succ u2, succ u1} n m e)))) (coeFn.{max 1 (max (succ u2) (succ u1)) (succ u1) (succ u2), 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 but is expected to have type
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 Case conversion may be inaccurate. Consider using '#align matrix.cramer_submatrix_equiv Matrix.cramer_submatrix_equivₓ'. -/
 theorem cramer_submatrix_equiv (A : Matrix m m α) (e : n ≃ m) (b : n → α) :
     cramer (A.submatrix e e) b = cramer A (b ∘ e.symm) ∘ e :=
@@ -269,7 +269,7 @@ theorem cramer_submatrix_equiv (A : Matrix m m α) (e : n ≃ m) (b : n → α)
 lean 3 declaration is
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 but is expected to have type
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(CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u1, u3, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : m) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : m) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (m -> α) (fun (_x : m -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : m -> α) => m -> α) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max u1 u3, max u1 u3} α α (m -> α) (m -> α) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (Pi.addCommMonoid.{u1, u3} m (fun (ᾰ : m) => α) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u1, u3} m (fun (ᾰ : m) => α) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u1, u3, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : m) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : m) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u1, u3, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : m) => α) α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : m) => Semiring.toModule.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (CommSemiring.toSemiring.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5))))) (Matrix.cramer.{u1, u3} m α (fun (a : m) (b : m) => _inst_3 a b) _inst_4 _inst_5 A) (Function.comp.{succ u1, succ u2, succ u3} m n α b (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (Equiv.{succ u1, succ u2} m n) m (fun (_x : m) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : m) => n) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u2} m n) e))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (Equiv.{succ u2, succ u1} n m) n (fun (_x : n) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : n) => m) _x) (Equiv.instFunLikeEquiv.{succ u2, succ u1} n m) (Equiv.symm.{succ u1, succ u2} m n e)))
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_reindex Matrix.cramer_reindexₓ'. -/
 theorem cramer_reindex (e : m ≃ n) (A : Matrix m m α) (b : n → α) :
     cramer (reindex e e A) b = cramer A (b ∘ e) ∘ e.symm :=
@@ -312,7 +312,7 @@ theorem adjugate_def (A : Matrix n n α) : adjugate A = of fun i => cramer Aᵀ
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (i : n) (j : n), Eq.{succ u2} α (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A i j) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 (Matrix.updateRow.{u2, u1, u1} n n α (fun (a : n) (b : n) => _inst_1 a b) A j (Pi.single.{u1, u2} n (fun (ᾰ : n) => α) (fun (a : n) (b : n) => _inst_1 a b) (fun (i : n) => MulZeroClass.toHasZero.{u2} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) i (OfNat.ofNat.{u2} α 1 (OfNat.mk.{u2} α 1 (One.one.{u2} α (AddMonoidWithOne.toOne.{u2} α (AddGroupWithOne.toAddMonoidWithOne.{u2} α (AddCommGroupWithOne.toAddGroupWithOne.{u2} α (Ring.toAddCommGroupWithOne.{u2} α (CommRing.toRing.{u2} α _inst_5)))))))))))
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (i : n) (j : n), Eq.{succ u2} α (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A i j) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 (Matrix.updateRow.{u2, u1, u1} n n α (fun (a : n) (b : n) => _inst_1 a b) A j (Pi.single.{u1, u2} n (fun (ᾰ : n) => α) (fun (a : n) (b : n) => _inst_1 a b) (fun (i : n) => CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) i (OfNat.ofNat.{u2} α 1 (One.toOfNat1.{u2} α (NonAssocRing.toOne.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))))))
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (i : n) (j : n), Eq.{succ u2} α (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A i j) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 (Matrix.updateRow.{u2, u1, u1} n n α (fun (a : n) (b : n) => _inst_1 a b) A j (Pi.single.{u1, u2} n (fun (ᾰ : n) => α) (fun (a : n) (b : n) => _inst_1 a b) (fun (i : n) => CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) i (OfNat.ofNat.{u2} α 1 (One.toOfNat1.{u2} α (Semiring.toOne.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))))))
 Case conversion may be inaccurate. Consider using '#align matrix.adjugate_apply Matrix.adjugate_applyₓ'. -/
 theorem adjugate_apply (A : Matrix n n α) (i j : n) :
     adjugate A i j = (A.updateRow j (Pi.single i 1)).det := by
@@ -376,7 +376,7 @@ theorem adjugate_reindex (e : m ≃ n) (A : Matrix m m α) :
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α), Eq.{max (succ u1) (succ u2)} (n -> α) (coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b) (Matrix.mulVec.{u2, u1, u1} n n α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) _inst_2 (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b)
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α), Eq.{max (succ u1) (succ u2)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) b) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b) (Matrix.mulVec.{u2, u1, u1} n n α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) _inst_2 (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b)
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α), Eq.{max (succ u1) (succ u2)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) b) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b) (Matrix.mulVec.{u2, u1, u1} n n α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) _inst_2 (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b)
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_eq_adjugate_mul_vec Matrix.cramer_eq_adjugate_mulVecₓ'. -/
 /-- Since the map `b ↦ cramer A b` is linear in `b`, it must be multiplication by some matrix. This
 matrix is `A.adjugate`. -/
@@ -399,7 +399,7 @@ theorem cramer_eq_adjugate_mulVec (A : Matrix n n α) (b : n → α) :
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (i : n) (j : n) (k : n), Eq.{succ u2} α (HMul.hMul.{u2, u2, u2} α α α (instHMul.{u2} α (Distrib.toHasMul.{u2} α (Ring.toDistrib.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (A i k) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A k j)) (coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.transpose.{u2, u1, u1} n n α A)) (Pi.single.{u1, u2} n (fun (ᾰ : n) => α) (fun (a : n) (b : n) => _inst_1 a b) (fun (i : n) => MulZeroClass.toHasZero.{u2} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) k (A i k)) j)
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (i : n) (j : n) (k : n), Eq.{succ u2} α (HMul.hMul.{u2, u2, u2} α α α (instHMul.{u2} α (NonUnitalNonAssocRing.toMul.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (A i k) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A k j)) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.transpose.{u2, u1, u1} n n α A)) (Pi.single.{u1, u2} n (fun (ᾰ : n) => α) (fun (a : n) (b : n) => _inst_1 a b) (fun (i : n) => CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) k (A i k)) j)
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (i : n) (j : n) (k : n), Eq.{succ u2} α (HMul.hMul.{u2, u2, u2} α α α (instHMul.{u2} α (NonUnitalNonAssocRing.toMul.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (A i k) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A k j)) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.transpose.{u2, u1, u1} n n α A)) (Pi.single.{u1, u2} n (fun (ᾰ : n) => α) (fun (a : n) (b : n) => _inst_1 a b) (fun (i : n) => CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) k (A i k)) j)
 Case conversion may be inaccurate. Consider using '#align matrix.mul_adjugate_apply Matrix.mul_adjugate_applyₓ'. -/
 theorem mul_adjugate_apply (A : Matrix n n α) (i j k) :
     A i k * adjugate A k j = cramer Aᵀ (Pi.single k (A i k)) j := by
@@ -411,7 +411,7 @@ theorem mul_adjugate_apply (A : Matrix n n α) (i j k) :
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α), Eq.{succ (max u1 u2)} (Matrix.{u1, u1, u2} n n α) (Matrix.mul.{u2, u1, u1, u1} n n n α _inst_2 (Distrib.toHasMul.{u2} α (Ring.toDistrib.{u2} α (CommRing.toRing.{u2} α _inst_5))) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) A (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A)) (SMul.smul.{u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.hasSmul.{u2, u1, u1, u2} n n α α (Mul.toSMul.{u2} α (Distrib.toHasMul.{u2} α (Ring.toDistrib.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A) (OfNat.ofNat.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 1 (OfNat.mk.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 1 (One.one.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Matrix.hasOne.{u2, u1} n α (fun (a : n) (b : n) => _inst_1 a b) (MulZeroClass.toHasZero.{u2} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (AddMonoidWithOne.toOne.{u2} α (AddGroupWithOne.toAddMonoidWithOne.{u2} α (AddCommGroupWithOne.toAddGroupWithOne.{u2} α (Ring.toAddCommGroupWithOne.{u2} α (CommRing.toRing.{u2} α _inst_5))))))))))
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α), Eq.{max (succ u1) (succ u2)} (Matrix.{u1, u1, u2} n n α) (Matrix.mul.{u2, u1, u1, u1} n n n α _inst_2 (NonUnitalNonAssocRing.toMul.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) A (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A)) (HSMul.hSMul.{u2, max u1 u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.{u1, u1, u2} n n α) (instHSMul.{u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.smul.{u2, u1, u1, u2} n n α α (Algebra.toSMul.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A) (OfNat.ofNat.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 1 (One.toOfNat1.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Matrix.one.{u2, u1} n α (fun (a : n) (b : n) => _inst_1 a b) (CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) (NonAssocRing.toOne.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))))
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α), Eq.{max (succ u1) (succ u2)} (Matrix.{u1, u1, u2} n n α) (Matrix.mul.{u2, u1, u1, u1} n n n α _inst_2 (NonUnitalNonAssocRing.toMul.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) A (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A)) (HSMul.hSMul.{u2, max u1 u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.{u1, u1, u2} n n α) (instHSMul.{u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.smul.{u2, u1, u1, u2} n n α α (Algebra.toSMul.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A) (OfNat.ofNat.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 1 (One.toOfNat1.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Matrix.one.{u2, u1} n α (fun (a : n) (b : n) => _inst_1 a b) (CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) (Semiring.toOne.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))))))
 Case conversion may be inaccurate. Consider using '#align matrix.mul_adjugate Matrix.mul_adjugateₓ'. -/
 theorem mul_adjugate (A : Matrix n n α) : A ⬝ adjugate A = A.det • 1 :=
   by
@@ -424,7 +424,7 @@ theorem mul_adjugate (A : Matrix n n α) : A ⬝ adjugate A = A.det • 1 :=
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α), Eq.{succ (max u1 u2)} (Matrix.{u1, u1, u2} n n α) (Matrix.mul.{u2, u1, u1, u1} n n n α _inst_2 (Distrib.toHasMul.{u2} α (Ring.toDistrib.{u2} α (CommRing.toRing.{u2} α _inst_5))) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) A) (SMul.smul.{u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.hasSmul.{u2, u1, u1, u2} n n α α (Mul.toSMul.{u2} α (Distrib.toHasMul.{u2} α (Ring.toDistrib.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A) (OfNat.ofNat.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 1 (OfNat.mk.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 1 (One.one.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Matrix.hasOne.{u2, u1} n α (fun (a : n) (b : n) => _inst_1 a b) (MulZeroClass.toHasZero.{u2} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (AddMonoidWithOne.toOne.{u2} α (AddGroupWithOne.toAddMonoidWithOne.{u2} α (AddCommGroupWithOne.toAddGroupWithOne.{u2} α (Ring.toAddCommGroupWithOne.{u2} α (CommRing.toRing.{u2} α _inst_5))))))))))
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α), Eq.{max (succ u1) (succ u2)} (Matrix.{u1, u1, u2} n n α) (Matrix.mul.{u2, u1, u1, u1} n n n α _inst_2 (NonUnitalNonAssocRing.toMul.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) A) (HSMul.hSMul.{u2, max u1 u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.{u1, u1, u2} n n α) (instHSMul.{u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.smul.{u2, u1, u1, u2} n n α α (Algebra.toSMul.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A) (OfNat.ofNat.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 1 (One.toOfNat1.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Matrix.one.{u2, u1} n α (fun (a : n) (b : n) => _inst_1 a b) (CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) (NonAssocRing.toOne.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))))
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α), Eq.{max (succ u1) (succ u2)} (Matrix.{u1, u1, u2} n n α) (Matrix.mul.{u2, u1, u1, u1} n n n α _inst_2 (NonUnitalNonAssocRing.toMul.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) A) (HSMul.hSMul.{u2, max u1 u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.{u1, u1, u2} n n α) (instHSMul.{u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.smul.{u2, u1, u1, u2} n n α α (Algebra.toSMul.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A) (OfNat.ofNat.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 1 (One.toOfNat1.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Matrix.one.{u2, u1} n α (fun (a : n) (b : n) => _inst_1 a b) (CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) (Semiring.toOne.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))))))
 Case conversion may be inaccurate. Consider using '#align matrix.adjugate_mul Matrix.adjugate_mulₓ'. -/
 theorem adjugate_mul (A : Matrix n n α) : adjugate A ⬝ A = A.det • 1 :=
   calc
@@ -438,7 +438,7 @@ theorem adjugate_mul (A : Matrix n n α) : adjugate A ⬝ A = A.det • 1 :=
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (r : α) (A : Matrix.{u1, u1, u2} n n α), Eq.{succ (max u1 u2)} (Matrix.{u1, u1, u2} n n α) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (SMul.smul.{u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.hasSmul.{u2, u1, u1, u2} n n α α (Mul.toSMul.{u2} α (Distrib.toHasMul.{u2} α (Ring.toDistrib.{u2} α (CommRing.toRing.{u2} α _inst_5))))) r A)) (SMul.smul.{u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.hasSmul.{u2, u1, u1, u2} n n α α (Mul.toSMul.{u2} α (Distrib.toHasMul.{u2} α (Ring.toDistrib.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (HPow.hPow.{u2, 0, u2} α Nat α (instHPow.{u2, 0} α Nat (Monoid.Pow.{u2} α (Ring.toMonoid.{u2} α (CommRing.toRing.{u2} α _inst_5)))) r (HSub.hSub.{0, 0, 0} Nat Nat Nat (instHSub.{0} Nat Nat.hasSub) (Fintype.card.{u1} n _inst_2) (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A))
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (r : α) (A : Matrix.{u1, u1, u2} n n α), Eq.{max (succ u1) (succ u2)} (Matrix.{u1, u1, u2} n n α) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (HSMul.hSMul.{u2, max u1 u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.{u1, u1, u2} n n α) (instHSMul.{u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.smul.{u2, u1, u1, u2} n n α α (Algebra.toSMul.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) r A)) (HSMul.hSMul.{u2, max u2 u1, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.{u1, u1, u2} n n α) (instHSMul.{u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.smul.{u2, u1, u1, u2} n n α α (Algebra.toSMul.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (HPow.hPow.{u2, 0, u2} α Nat α (instHPow.{u2, 0} α Nat (Monoid.Pow.{u2} α (MonoidWithZero.toMonoid.{u2} α (Semiring.toMonoidWithZero.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) r (HSub.hSub.{0, 0, 0} Nat Nat Nat (instHSub.{0} Nat instSubNat) (Fintype.card.{u1} n _inst_2) (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A))
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (r : α) (A : Matrix.{u1, u1, u2} n n α), Eq.{max (succ u1) (succ u2)} (Matrix.{u1, u1, u2} n n α) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (HSMul.hSMul.{u2, max u1 u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.{u1, u1, u2} n n α) (instHSMul.{u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.smul.{u2, u1, u1, u2} n n α α (Algebra.toSMul.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) r A)) (HSMul.hSMul.{u2, max u2 u1, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.{u1, u1, u2} n n α) (instHSMul.{u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.smul.{u2, u1, u1, u2} n n α α (Algebra.toSMul.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (HPow.hPow.{u2, 0, u2} α Nat α (instHPow.{u2, 0} α Nat (Monoid.Pow.{u2} α (MonoidWithZero.toMonoid.{u2} α (Semiring.toMonoidWithZero.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))))) r (HSub.hSub.{0, 0, 0} Nat Nat Nat (instHSub.{0} Nat instSubNat) (Fintype.card.{u1} n _inst_2) (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A))
 Case conversion may be inaccurate. Consider using '#align matrix.adjugate_smul Matrix.adjugate_smulₓ'. -/
 theorem adjugate_smul (r : α) (A : Matrix n n α) :
     adjugate (r • A) = r ^ (Fintype.card n - 1) • adjugate A :=
@@ -451,7 +451,7 @@ theorem adjugate_smul (r : α) (A : Matrix n n α) :
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α), Eq.{max (succ u1) (succ u2)} (n -> α) (Matrix.mulVec.{u2, u1, u1} n n α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) _inst_2 A (coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b)) (SMul.smul.{u2, max u1 u2} α (n -> α) (Function.hasSMul.{u1, u2, u2} n α α (Mul.toSMul.{u2} α (Distrib.toHasMul.{u2} α (Ring.toDistrib.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A) b)
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α), Eq.{max (succ u1) (succ u2)} (n -> α) (Matrix.mulVec.{u2, u1, u1} n n α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) _inst_2 A (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b)) (HSMul.hSMul.{u2, max u1 u2, max u1 u2} α (n -> α) (n -> α) (instHSMul.{u2, max u1 u2} α (n -> α) (Pi.instSMul.{u1, u2, u2} n α (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.3227 : n) => α) (fun (i : n) => Algebra.toSMul.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A) b)
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α), Eq.{max (succ u1) (succ u2)} (n -> α) (Matrix.mulVec.{u2, u1, u1} n n α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) _inst_2 A (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b)) (HSMul.hSMul.{u2, max u1 u2, max u1 u2} α (n -> α) (n -> α) (instHSMul.{u2, max u1 u2} α (n -> α) (Pi.instSMul.{u1, u2, u2} n α (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.3227 : n) => α) (fun (i : n) => Algebra.toSMul.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A) b)
 Case conversion may be inaccurate. Consider using '#align matrix.mul_vec_cramer Matrix.mulVec_cramerₓ'. -/
 /-- A stronger form of **Cramer's rule** that allows us to solve some instances of `A ⬝ x = b` even
 if the determinant is not a unit. A sufficient (but still not necessary) condition is that `A.det`
@@ -465,7 +465,7 @@ theorem mulVec_cramer (A : Matrix n n α) (b : n → α) : A.mulVec (cramer A b)
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] [_inst_6 : Subsingleton.{succ u1} n] (A : Matrix.{u1, u1, u2} n n α), Eq.{succ (max u1 u2)} (Matrix.{u1, u1, u2} n n α) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) (OfNat.ofNat.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 1 (OfNat.mk.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 1 (One.one.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Matrix.hasOne.{u2, u1} n α (fun (a : n) (b : n) => _inst_1 a b) (MulZeroClass.toHasZero.{u2} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (AddMonoidWithOne.toOne.{u2} α (AddGroupWithOne.toAddMonoidWithOne.{u2} α (AddCommGroupWithOne.toAddGroupWithOne.{u2} α (Ring.toAddCommGroupWithOne.{u2} α (CommRing.toRing.{u2} α _inst_5)))))))))
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] [_inst_6 : Subsingleton.{succ u1} n] (A : Matrix.{u1, u1, u2} n n α), Eq.{max (succ u1) (succ u2)} (Matrix.{u1, u1, u2} n n α) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) (OfNat.ofNat.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 1 (One.toOfNat1.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Matrix.one.{u2, u1} n α (fun (a : n) (b : n) => _inst_1 a b) (CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) (NonAssocRing.toOne.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))))
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] [_inst_6 : Subsingleton.{succ u1} n] (A : Matrix.{u1, u1, u2} n n α), Eq.{max (succ u1) (succ u2)} (Matrix.{u1, u1, u2} n n α) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) (OfNat.ofNat.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 1 (One.toOfNat1.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Matrix.one.{u2, u1} n α (fun (a : n) (b : n) => _inst_1 a b) (CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) (Semiring.toOne.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))))
 Case conversion may be inaccurate. Consider using '#align matrix.adjugate_subsingleton Matrix.adjugate_subsingletonₓ'. -/
 theorem adjugate_subsingleton [Subsingleton n] (A : Matrix n n α) : adjugate A = 1 :=
   by
@@ -477,7 +477,7 @@ theorem adjugate_subsingleton [Subsingleton n] (A : Matrix n n α) : adjugate A
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] {A : Matrix.{u1, u1, u2} n n α}, (Eq.{1} Nat (Fintype.card.{u1} n _inst_2) (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))) -> (Eq.{succ (max u1 u2)} (Matrix.{u1, u1, u2} n n α) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) (OfNat.ofNat.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 1 (OfNat.mk.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 1 (One.one.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Matrix.hasOne.{u2, u1} n α (fun (a : n) (b : n) => _inst_1 a b) (MulZeroClass.toHasZero.{u2} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (AddMonoidWithOne.toOne.{u2} α (AddGroupWithOne.toAddMonoidWithOne.{u2} α (AddCommGroupWithOne.toAddGroupWithOne.{u2} α (Ring.toAddCommGroupWithOne.{u2} α (CommRing.toRing.{u2} α _inst_5))))))))))
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] {A : Matrix.{u1, u1, u2} n n α}, (Eq.{1} Nat (Fintype.card.{u1} n _inst_2) (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) -> (Eq.{max (succ u1) (succ u2)} (Matrix.{u1, u1, u2} n n α) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) (OfNat.ofNat.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 1 (One.toOfNat1.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Matrix.one.{u2, u1} n α (fun (a : n) (b : n) => _inst_1 a b) (CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) (NonAssocRing.toOne.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))))
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] {A : Matrix.{u1, u1, u2} n n α}, (Eq.{1} Nat (Fintype.card.{u1} n _inst_2) (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) -> (Eq.{max (succ u1) (succ u2)} (Matrix.{u1, u1, u2} n n α) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) (OfNat.ofNat.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 1 (One.toOfNat1.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Matrix.one.{u2, u1} n α (fun (a : n) (b : n) => _inst_1 a b) (CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) (Semiring.toOne.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))))))
 Case conversion may be inaccurate. Consider using '#align matrix.adjugate_eq_one_of_card_eq_one Matrix.adjugate_eq_one_of_card_eq_oneₓ'. -/
 theorem adjugate_eq_one_of_card_eq_one {A : Matrix n n α} (h : Fintype.card n = 1) :
     adjugate A = 1 :=
@@ -505,7 +505,7 @@ theorem adjugate_zero [Nontrivial n] : adjugate (0 : Matrix n n α) = 0 :=
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α], Eq.{succ (max u1 u2)} (Matrix.{u1, u1, u2} n n α) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (OfNat.ofNat.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 1 (OfNat.mk.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 1 (One.one.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Matrix.hasOne.{u2, u1} n α (fun (a : n) (b : n) => _inst_1 a b) (MulZeroClass.toHasZero.{u2} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (AddMonoidWithOne.toOne.{u2} α (AddGroupWithOne.toAddMonoidWithOne.{u2} α (AddCommGroupWithOne.toAddGroupWithOne.{u2} α (Ring.toAddCommGroupWithOne.{u2} α (CommRing.toRing.{u2} α _inst_5)))))))))) (OfNat.ofNat.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 1 (OfNat.mk.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 1 (One.one.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Matrix.hasOne.{u2, u1} n α (fun (a : n) (b : n) => _inst_1 a b) (MulZeroClass.toHasZero.{u2} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (AddMonoidWithOne.toOne.{u2} α (AddGroupWithOne.toAddMonoidWithOne.{u2} α (AddCommGroupWithOne.toAddGroupWithOne.{u2} α (Ring.toAddCommGroupWithOne.{u2} α (CommRing.toRing.{u2} α _inst_5)))))))))
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α], Eq.{max (succ u1) (succ u2)} (Matrix.{u1, u1, u2} n n α) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (OfNat.ofNat.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 1 (One.toOfNat1.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Matrix.one.{u2, u1} n α (fun (a : n) (b : n) => _inst_1 a b) (CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) (NonAssocRing.toOne.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))))) (OfNat.ofNat.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 1 (One.toOfNat1.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Matrix.one.{u2, u1} n α (fun (a : n) (b : n) => _inst_1 a b) (CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) (NonAssocRing.toOne.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))))
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α], Eq.{max (succ u1) (succ u2)} (Matrix.{u1, u1, u2} n n α) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (OfNat.ofNat.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 1 (One.toOfNat1.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Matrix.one.{u2, u1} n α (fun (a : n) (b : n) => _inst_1 a b) (CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) (Semiring.toOne.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))))) (OfNat.ofNat.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 1 (One.toOfNat1.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Matrix.one.{u2, u1} n α (fun (a : n) (b : n) => _inst_1 a b) (CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) (Semiring.toOne.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))))
 Case conversion may be inaccurate. Consider using '#align matrix.adjugate_one Matrix.adjugate_oneₓ'. -/
 @[simp]
 theorem adjugate_one : adjugate (1 : Matrix n n α) = 1 :=
@@ -541,7 +541,7 @@ theorem adjugate_diagonal (v : n → α) :
 lean 3 declaration is
   forall {n : Type.{u1}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] {R : Type.{u2}} {S : Type.{u3}} [_inst_6 : CommRing.{u2} R] [_inst_7 : CommRing.{u3} S] (f : RingHom.{u2, u3} R S (NonAssocRing.toNonAssocSemiring.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_6))) (NonAssocRing.toNonAssocSemiring.{u3} S (Ring.toNonAssocRing.{u3} S (CommRing.toRing.{u3} S _inst_7)))) (M : Matrix.{u1, u1, u2} n n R), Eq.{succ (max u1 u3)} (Matrix.{u1, u1, u3} n n S) (coeFn.{max (succ (max u1 u2)) (succ (max u1 u3)), max (succ (max u1 u2)) (succ (max u1 u3))} (RingHom.{max u1 u2, max u1 u3} (Matrix.{u1, u1, u2} n n R) (Matrix.{u1, u1, u3} n n S) (Matrix.nonAssocSemiring.{u2, u1} n R (NonAssocRing.toNonAssocSemiring.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.nonAssocSemiring.{u3, u1} n S (NonAssocRing.toNonAssocSemiring.{u3} S (Ring.toNonAssocRing.{u3} S (CommRing.toRing.{u3} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))) (fun (_x : RingHom.{max u1 u2, max u1 u3} (Matrix.{u1, u1, u2} n n R) (Matrix.{u1, u1, u3} n n S) (Matrix.nonAssocSemiring.{u2, u1} n R (NonAssocRing.toNonAssocSemiring.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.nonAssocSemiring.{u3, u1} n S (NonAssocRing.toNonAssocSemiring.{u3} S (Ring.toNonAssocRing.{u3} S (CommRing.toRing.{u3} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))) => (Matrix.{u1, u1, u2} n n R) -> (Matrix.{u1, u1, u3} n n S)) (RingHom.hasCoeToFun.{max u1 u2, max u1 u3} (Matrix.{u1, u1, u2} n n R) (Matrix.{u1, u1, u3} n n S) (Matrix.nonAssocSemiring.{u2, u1} n R (NonAssocRing.toNonAssocSemiring.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.nonAssocSemiring.{u3, u1} n S (NonAssocRing.toNonAssocSemiring.{u3} S (Ring.toNonAssocRing.{u3} S (CommRing.toRing.{u3} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))) (RingHom.mapMatrix.{u2, u3, u1} n R S _inst_2 (fun (a : n) (b : n) => _inst_1 a b) (NonAssocRing.toNonAssocSemiring.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_6))) (NonAssocRing.toNonAssocSemiring.{u3} S (Ring.toNonAssocRing.{u3} S (CommRing.toRing.{u3} S _inst_7))) f) (Matrix.adjugate.{u1, u2} n R (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_6 M)) (Matrix.adjugate.{u1, u3} n S (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_7 (coeFn.{max (succ (max u1 u2)) (succ (max u1 u3)), max (succ (max u1 u2)) (succ (max u1 u3))} (RingHom.{max u1 u2, max u1 u3} (Matrix.{u1, u1, u2} n n R) (Matrix.{u1, u1, u3} n n S) (Matrix.nonAssocSemiring.{u2, u1} n R (NonAssocRing.toNonAssocSemiring.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.nonAssocSemiring.{u3, u1} n S (NonAssocRing.toNonAssocSemiring.{u3} S (Ring.toNonAssocRing.{u3} S (CommRing.toRing.{u3} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))) (fun (_x : RingHom.{max u1 u2, max u1 u3} (Matrix.{u1, u1, u2} n n R) (Matrix.{u1, u1, u3} n n S) (Matrix.nonAssocSemiring.{u2, u1} n R (NonAssocRing.toNonAssocSemiring.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.nonAssocSemiring.{u3, u1} n S (NonAssocRing.toNonAssocSemiring.{u3} S (Ring.toNonAssocRing.{u3} S (CommRing.toRing.{u3} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))) => (Matrix.{u1, u1, u2} n n R) -> (Matrix.{u1, u1, u3} n n S)) (RingHom.hasCoeToFun.{max u1 u2, max u1 u3} (Matrix.{u1, u1, u2} n n R) (Matrix.{u1, u1, u3} n n S) (Matrix.nonAssocSemiring.{u2, u1} n R (NonAssocRing.toNonAssocSemiring.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.nonAssocSemiring.{u3, u1} n S (NonAssocRing.toNonAssocSemiring.{u3} S (Ring.toNonAssocRing.{u3} S (CommRing.toRing.{u3} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))) (RingHom.mapMatrix.{u2, u3, u1} n R S _inst_2 (fun (a : n) (b : n) => _inst_1 a b) (NonAssocRing.toNonAssocSemiring.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_6))) (NonAssocRing.toNonAssocSemiring.{u3} S (Ring.toNonAssocRing.{u3} S (CommRing.toRing.{u3} S _inst_7))) f) M))
 but is expected to have type
-  forall {n : Type.{u3}} [_inst_1 : DecidableEq.{succ u3} n] [_inst_2 : Fintype.{u3} n] {R : Type.{u2}} {S : Type.{u1}} [_inst_6 : CommRing.{u2} R] [_inst_7 : CommRing.{u1} S] (f : RingHom.{u2, u1} R S (NonAssocRing.toNonAssocSemiring.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_6))) (NonAssocRing.toNonAssocSemiring.{u1} S (Ring.toNonAssocRing.{u1} S (CommRing.toRing.{u1} S _inst_7)))) (M : Matrix.{u3, u3, u2} n n R), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Matrix.{u3, u3, u2} n n R) => Matrix.{u3, u3, u1} n n S) (Matrix.adjugate.{u3, u2} n R (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_6 M)) (FunLike.coe.{max (max (succ u2) (succ u1)) (succ u3), max (succ u2) (succ u3), max (succ u1) (succ u3)} (RingHom.{max u2 u3, max u1 u3} (Matrix.{u3, u3, u2} n n R) (Matrix.{u3, u3, u1} n n S) (Matrix.nonAssocSemiring.{u2, u3} n R (NonAssocRing.toNonAssocSemiring.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.nonAssocSemiring.{u1, u3} n S (NonAssocRing.toNonAssocSemiring.{u1} S (Ring.toNonAssocRing.{u1} S (CommRing.toRing.{u1} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))) (Matrix.{u3, u3, u2} n n R) (fun (_x : Matrix.{u3, u3, u2} n n R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Matrix.{u3, u3, u2} n n R) => Matrix.{u3, u3, u1} n n S) _x) (MulHomClass.toFunLike.{max (max u2 u1) u3, max u2 u3, max u1 u3} (RingHom.{max u2 u3, max u1 u3} (Matrix.{u3, u3, u2} n n R) (Matrix.{u3, u3, u1} n n S) (Matrix.nonAssocSemiring.{u2, u3} n R (NonAssocRing.toNonAssocSemiring.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.nonAssocSemiring.{u1, u3} n S (NonAssocRing.toNonAssocSemiring.{u1} S (Ring.toNonAssocRing.{u1} S (CommRing.toRing.{u1} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))) (Matrix.{u3, u3, u2} n n R) (Matrix.{u3, u3, u1} n n S) (NonUnitalNonAssocSemiring.toMul.{max u2 u3} (Matrix.{u3, u3, u2} n n R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (Matrix.{u3, u3, u2} n n R) (Matrix.nonAssocSemiring.{u2, u3} n R (NonAssocRing.toNonAssocSemiring.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (Matrix.{u3, u3, u1} n n S) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} n n S) (Matrix.nonAssocSemiring.{u1, u3} n S (NonAssocRing.toNonAssocSemiring.{u1} S (Ring.toNonAssocRing.{u1} S (CommRing.toRing.{u1} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u1) u3, max u2 u3, max u1 u3} (RingHom.{max u2 u3, max u1 u3} (Matrix.{u3, u3, u2} n n R) (Matrix.{u3, u3, u1} n n S) (Matrix.nonAssocSemiring.{u2, u3} n R (NonAssocRing.toNonAssocSemiring.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.nonAssocSemiring.{u1, u3} n S (NonAssocRing.toNonAssocSemiring.{u1} S (Ring.toNonAssocRing.{u1} S (CommRing.toRing.{u1} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))) (Matrix.{u3, u3, u2} n n R) (Matrix.{u3, u3, u1} n n S) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (Matrix.{u3, u3, u2} n n R) (Matrix.nonAssocSemiring.{u2, u3} n R (NonAssocRing.toNonAssocSemiring.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} n n S) (Matrix.nonAssocSemiring.{u1, u3} n S (NonAssocRing.toNonAssocSemiring.{u1} S (Ring.toNonAssocRing.{u1} S (CommRing.toRing.{u1} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u1) u3, max u2 u3, max u1 u3} (RingHom.{max u2 u3, max u1 u3} (Matrix.{u3, u3, u2} n n R) (Matrix.{u3, u3, u1} n n S) (Matrix.nonAssocSemiring.{u2, u3} n R (NonAssocRing.toNonAssocSemiring.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.nonAssocSemiring.{u1, u3} n S (NonAssocRing.toNonAssocSemiring.{u1} S (Ring.toNonAssocRing.{u1} S (CommRing.toRing.{u1} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))) (Matrix.{u3, u3, u2} n n R) (Matrix.{u3, u3, u1} n n S) (Matrix.nonAssocSemiring.{u2, u3} n R (NonAssocRing.toNonAssocSemiring.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.nonAssocSemiring.{u1, u3} n S (NonAssocRing.toNonAssocSemiring.{u1} S (Ring.toNonAssocRing.{u1} S (CommRing.toRing.{u1} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (RingHom.instRingHomClassRingHom.{max u2 u3, max u1 u3} (Matrix.{u3, u3, u2} n n R) (Matrix.{u3, u3, u1} n n S) (Matrix.nonAssocSemiring.{u2, u3} n R (NonAssocRing.toNonAssocSemiring.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.nonAssocSemiring.{u1, u3} n S (NonAssocRing.toNonAssocSemiring.{u1} S (Ring.toNonAssocRing.{u1} S (CommRing.toRing.{u1} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))))) (RingHom.mapMatrix.{u2, u1, u3} n R S _inst_2 (fun (a : n) (b : n) => _inst_1 a b) (NonAssocRing.toNonAssocSemiring.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_6))) (NonAssocRing.toNonAssocSemiring.{u1} S (Ring.toNonAssocRing.{u1} S (CommRing.toRing.{u1} S _inst_7))) f) (Matrix.adjugate.{u3, u2} n R (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_6 M)) (Matrix.adjugate.{u3, u1} n S (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_7 (FunLike.coe.{max (max (succ u2) (succ u1)) (succ u3), max (succ u2) (succ u3), max (succ u1) (succ u3)} (RingHom.{max u2 u3, max u1 u3} (Matrix.{u3, u3, u2} n n R) (Matrix.{u3, u3, u1} n n S) 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+  forall {n : Type.{u3}} [_inst_1 : DecidableEq.{succ u3} n] [_inst_2 : Fintype.{u3} n] {R : Type.{u2}} {S : Type.{u1}} [_inst_6 : CommRing.{u2} R] [_inst_7 : CommRing.{u1} S] (f : RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_6))) (Semiring.toNonAssocSemiring.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_7)))) (M : Matrix.{u3, u3, u2} n n R), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Matrix.{u3, u3, u2} n n R) => Matrix.{u3, u3, u1} n n S) (Matrix.adjugate.{u3, u2} n R (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_6 M)) (FunLike.coe.{max (max (succ u2) (succ u1)) (succ u3), max (succ u2) (succ u3), max (succ u1) (succ u3)} (RingHom.{max u2 u3, max u1 u3} (Matrix.{u3, u3, u2} n n R) (Matrix.{u3, u3, u1} n n S) (Matrix.nonAssocSemiring.{u2, u3} n R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R 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_inst_1 a b))) (Matrix.{u3, u3, u2} n n R) (Matrix.{u3, u3, u1} n n S) (NonUnitalNonAssocSemiring.toMul.{max u2 u3} (Matrix.{u3, u3, u2} n n R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (Matrix.{u3, u3, u2} n n R) (Matrix.nonAssocSemiring.{u2, u3} n R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (Matrix.{u3, u3, u1} n n S) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} n n S) (Matrix.nonAssocSemiring.{u1, u3} n S (Semiring.toNonAssocSemiring.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u1) u3, max u2 u3, max u1 u3} (RingHom.{max u2 u3, max u1 u3} (Matrix.{u3, u3, u2} n n R) (Matrix.{u3, u3, u1} n n S) (Matrix.nonAssocSemiring.{u2, u3} n R 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a b)) (RingHom.instRingHomClassRingHom.{max u2 u3, max u1 u3} (Matrix.{u3, u3, u2} n n R) (Matrix.{u3, u3, u1} n n S) (Matrix.nonAssocSemiring.{u2, u3} n R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.nonAssocSemiring.{u1, u3} n S (Semiring.toNonAssocSemiring.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))))) (RingHom.mapMatrix.{u2, u1, u3} n R S _inst_2 (fun (a : n) (b : n) => _inst_1 a b) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_6))) (Semiring.toNonAssocSemiring.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_7))) f) (Matrix.adjugate.{u3, u2} n R (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_6 M)) (Matrix.adjugate.{u3, u1} n S (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_7 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(NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} n n S) (Matrix.nonAssocSemiring.{u1, u3} n S (Semiring.toNonAssocSemiring.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u1) u3, max u2 u3, max u1 u3} (RingHom.{max u2 u3, max u1 u3} (Matrix.{u3, u3, u2} n n R) (Matrix.{u3, u3, u1} n n S) (Matrix.nonAssocSemiring.{u2, u3} n R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.nonAssocSemiring.{u1, u3} n S (Semiring.toNonAssocSemiring.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))) (Matrix.{u3, u3, u2} n n R) (Matrix.{u3, u3, u1} n n S) (Matrix.nonAssocSemiring.{u2, u3} n R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.nonAssocSemiring.{u1, u3} n S (Semiring.toNonAssocSemiring.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (RingHom.instRingHomClassRingHom.{max u2 u3, max u1 u3} (Matrix.{u3, u3, u2} n n R) (Matrix.{u3, u3, u1} n n S) (Matrix.nonAssocSemiring.{u2, u3} n R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_6))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.nonAssocSemiring.{u1, u3} n S (Semiring.toNonAssocSemiring.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_7))) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))))) (RingHom.mapMatrix.{u2, u1, u3} n R S _inst_2 (fun (a : n) (b : n) => _inst_1 a b) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_6))) (Semiring.toNonAssocSemiring.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_7))) f) M))
 Case conversion may be inaccurate. Consider using '#align ring_hom.map_adjugate RingHom.map_adjugateₓ'. -/
 theorem RingHom.map_adjugate {R S : Type _} [CommRing R] [CommRing S] (f : R →+* S)
     (M : Matrix n n R) : f.mapMatrix M.adjugate = Matrix.adjugate (f.mapMatrix M) :=
@@ -559,7 +559,7 @@ theorem RingHom.map_adjugate {R S : Type _} [CommRing R] [CommRing S] (f : R →
 lean 3 declaration is
   forall {n : Type.{u1}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] {R : Type.{u2}} {A : Type.{u3}} {B : Type.{u4}} [_inst_6 : CommSemiring.{u2} R] [_inst_7 : CommRing.{u3} A] [_inst_8 : CommRing.{u4} B] [_inst_9 : Algebra.{u2, u3} R A _inst_6 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_7))] [_inst_10 : Algebra.{u2, u4} R B _inst_6 (Ring.toSemiring.{u4} B (CommRing.toRing.{u4} B _inst_8))] (f : AlgHom.{u2, u3, u4} R A B _inst_6 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_7)) (Ring.toSemiring.{u4} B (CommRing.toRing.{u4} B _inst_8)) _inst_9 _inst_10) (M : Matrix.{u1, u1, u3} n n A), Eq.{succ (max u1 u4)} (Matrix.{u1, u1, u4} n n B) (coeFn.{max (succ (max u1 u3)) (succ (max u1 u4)), max (succ (max u1 u3)) (succ (max u1 u4))} (AlgHom.{u2, max u1 u3, max u1 u4} R (Matrix.{u1, u1, u3} n n A) (Matrix.{u1, u1, u4} n n B) _inst_6 (Matrix.semiring.{u3, u1} n A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u4, u1} n B (Ring.toSemiring.{u4} B (CommRing.toRing.{u4} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.algebra.{u3, u1, u2} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_7)) _inst_9) (Matrix.algebra.{u4, u1, u2} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u4} B (CommRing.toRing.{u4} B _inst_8)) _inst_10)) (fun (_x : AlgHom.{u2, max u1 u3, max u1 u4} R (Matrix.{u1, u1, u3} n n A) (Matrix.{u1, u1, u4} n n B) _inst_6 (Matrix.semiring.{u3, u1} n A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u4, u1} n B (Ring.toSemiring.{u4} B (CommRing.toRing.{u4} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.algebra.{u3, u1, u2} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_7)) _inst_9) (Matrix.algebra.{u4, u1, u2} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u4} B (CommRing.toRing.{u4} B _inst_8)) _inst_10)) => (Matrix.{u1, u1, u3} n n A) -> (Matrix.{u1, u1, u4} n n B)) ([anonymous].{u2, max u1 u3, max u1 u4} R (Matrix.{u1, u1, u3} n n A) (Matrix.{u1, u1, u4} n n B) _inst_6 (Matrix.semiring.{u3, u1} n A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u4, u1} n B (Ring.toSemiring.{u4} B (CommRing.toRing.{u4} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.algebra.{u3, u1, u2} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_7)) _inst_9) (Matrix.algebra.{u4, u1, u2} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u4} B (CommRing.toRing.{u4} B _inst_8)) _inst_10)) (AlgHom.mapMatrix.{u3, u4, u1, u2} n R A B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_7)) (Ring.toSemiring.{u4} B (CommRing.toRing.{u4} B _inst_8)) _inst_9 _inst_10 f) (Matrix.adjugate.{u1, u3} n A (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_7 M)) (Matrix.adjugate.{u1, u4} n B (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_8 (coeFn.{max (succ (max u1 u3)) (succ (max u1 u4)), max (succ (max u1 u3)) (succ (max u1 u4))} (AlgHom.{u2, max u1 u3, max u1 u4} R (Matrix.{u1, u1, u3} n n A) (Matrix.{u1, u1, u4} n n B) _inst_6 (Matrix.semiring.{u3, u1} n A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u4, u1} n B (Ring.toSemiring.{u4} B (CommRing.toRing.{u4} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.algebra.{u3, u1, u2} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_7)) _inst_9) (Matrix.algebra.{u4, u1, u2} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u4} B (CommRing.toRing.{u4} B _inst_8)) _inst_10)) (fun (_x : AlgHom.{u2, max u1 u3, max u1 u4} R (Matrix.{u1, u1, u3} n n A) (Matrix.{u1, u1, u4} n n B) _inst_6 (Matrix.semiring.{u3, u1} n A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u4, u1} n B (Ring.toSemiring.{u4} B (CommRing.toRing.{u4} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.algebra.{u3, u1, u2} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_7)) _inst_9) (Matrix.algebra.{u4, u1, u2} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u4} B (CommRing.toRing.{u4} B _inst_8)) _inst_10)) => (Matrix.{u1, u1, u3} n n A) -> (Matrix.{u1, u1, u4} n n B)) ([anonymous].{u2, max u1 u3, max u1 u4} R (Matrix.{u1, u1, u3} n n A) (Matrix.{u1, u1, u4} n n B) _inst_6 (Matrix.semiring.{u3, u1} n A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u4, u1} n B (Ring.toSemiring.{u4} B (CommRing.toRing.{u4} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.algebra.{u3, u1, u2} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_7)) _inst_9) (Matrix.algebra.{u4, u1, u2} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u4} B (CommRing.toRing.{u4} B _inst_8)) _inst_10)) (AlgHom.mapMatrix.{u3, u4, u1, u2} n R A B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_7)) (Ring.toSemiring.{u4} B (CommRing.toRing.{u4} B _inst_8)) _inst_9 _inst_10 f) M))
 but is expected to have type
-  forall {n : Type.{u4}} [_inst_1 : DecidableEq.{succ u4} n] [_inst_2 : Fintype.{u4} n] {R : Type.{u3}} {A : Type.{u2}} {B : Type.{u1}} [_inst_6 : CommSemiring.{u3} R] [_inst_7 : CommRing.{u2} A] [_inst_8 : CommRing.{u1} B] [_inst_9 : Algebra.{u3, u2} R A _inst_6 (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7))] [_inst_10 : Algebra.{u3, u1} R B _inst_6 (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8))] (f : AlgHom.{u3, u2, u1} R A B _inst_6 (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_9 _inst_10) (M : Matrix.{u4, u4, u2} n n A), Eq.{max (succ u4) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Matrix.{u4, u4, u2} n n A) => Matrix.{u4, u4, u1} n n B) (Matrix.adjugate.{u4, u2} n A (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_7 M)) (FunLike.coe.{max (max (succ u2) (succ u1)) (succ u4), max (succ u2) (succ u4), max (succ u1) (succ u4)} (AlgHom.{u3, max u2 u4, max u1 u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_10)) (Matrix.{u4, u4, u2} n n A) (fun (_x : Matrix.{u4, u4, u2} n n A) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Matrix.{u4, u4, u2} n n A) => Matrix.{u4, u4, u1} n n B) _x) (SMulHomClass.toFunLike.{max (max u2 u1) u4, u3, max u2 u4, max u1 u4} (AlgHom.{u3, max u2 u4, max u1 u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_10)) R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) (SMulZeroClass.toSMul.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) (AddMonoid.toZero.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (AddCommMonoid.toAddMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))))) (DistribSMul.toSMulZeroClass.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) (AddMonoid.toAddZeroClass.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (AddCommMonoid.toAddMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))))) (DistribMulAction.toDistribSMul.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (AddCommMonoid.toAddMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))))) (Module.toDistribMulAction.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) _inst_6 (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_9)))))) (SMulZeroClass.toSMul.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (AddMonoid.toZero.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (AddCommMonoid.toAddMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))))) (DistribSMul.toSMulZeroClass.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (AddMonoid.toAddZeroClass.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (AddCommMonoid.toAddMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))))) (DistribMulAction.toDistribSMul.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (AddCommMonoid.toAddMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))))) (Module.toDistribMulAction.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_10)))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u2 u1) u4, u3, max u2 u4, max u1 u4} (AlgHom.{u3, max u2 u4, max u1 u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_10)) R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (AddCommMonoid.toAddMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))))) (AddCommMonoid.toAddMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))))) (Module.toDistribMulAction.{u3, max 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u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_10))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u2 u1) u4, u3, max u2 u4, max u1 u4} (AlgHom.{u3, max u2 u4, max u1 u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_10)) R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))) (Module.toDistribMulAction.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) _inst_6 (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_9))) (Module.toDistribMulAction.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_10))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, max u2 u4, max u1 u4, max (max u2 u1) u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_10) (AlgHom.{u3, max u2 u4, max u1 u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_10)) (AlgHom.algHomClass.{u3, max u2 u4, max u1 u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_10)))))) (AlgHom.mapMatrix.{u2, u1, u4, u3} n R A B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_9 _inst_10 f) (Matrix.adjugate.{u4, u2} n A (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_7 M)) (Matrix.adjugate.{u4, u1} n B (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_8 (FunLike.coe.{max (max (succ u2) (succ u1)) (succ u4), max (succ u2) (succ u4), max (succ u1) (succ u4)} 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u1 u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_10)) R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) (SMulZeroClass.toSMul.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) (AddMonoid.toZero.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (AddCommMonoid.toAddMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))))) (DistribSMul.toSMulZeroClass.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) (AddMonoid.toAddZeroClass.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (AddCommMonoid.toAddMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))))) (DistribMulAction.toDistribSMul.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (AddCommMonoid.toAddMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))))) (Module.toDistribMulAction.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) _inst_6 (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_9)))))) (SMulZeroClass.toSMul.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (AddMonoid.toZero.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (AddCommMonoid.toAddMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))))) (DistribSMul.toSMulZeroClass.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (AddMonoid.toAddZeroClass.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (AddCommMonoid.toAddMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))))) (DistribMulAction.toDistribSMul.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (AddCommMonoid.toAddMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))))) (Module.toDistribMulAction.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_10)))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u2 u1) u4, u3, max u2 u4, max u1 u4} (AlgHom.{u3, max u2 u4, max u1 u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_10)) R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (AddCommMonoid.toAddMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))))) (AddCommMonoid.toAddMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))))) (Module.toDistribMulAction.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) _inst_6 (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_9))) (Module.toDistribMulAction.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_10))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u2 u1) u4, u3, max u2 u4, max u1 u4} (AlgHom.{u3, max u2 u4, max u1 u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_10)) R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))) (Module.toDistribMulAction.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) _inst_6 (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_9))) (Module.toDistribMulAction.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_10))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, max u2 u4, max u1 u4, max (max u2 u1) u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_10) (AlgHom.{u3, max u2 u4, max u1 u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_10)) (AlgHom.algHomClass.{u3, max u2 u4, max u1 u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_10)))))) (AlgHom.mapMatrix.{u2, u1, u4, u3} n R A B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_9 _inst_10 f) M))
+  forall {n : Type.{u4}} [_inst_1 : DecidableEq.{succ u4} n] [_inst_2 : Fintype.{u4} n] {R : Type.{u3}} {A : Type.{u2}} {B : Type.{u1}} [_inst_6 : CommSemiring.{u3} R] [_inst_7 : CommRing.{u2} A] [_inst_8 : CommRing.{u1} B] [_inst_9 : Algebra.{u3, u2} R A _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7))] [_inst_10 : Algebra.{u3, u1} R B _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8))] (f : AlgHom.{u3, u2, u1} R A B _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_9 _inst_10) (M : Matrix.{u4, u4, u2} n n A), Eq.{max (succ u4) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Matrix.{u4, u4, u2} n n A) => Matrix.{u4, u4, u1} n n B) (Matrix.adjugate.{u4, u2} n A (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_7 M)) (FunLike.coe.{max (max (succ u2) (succ u1)) (succ u4), max (succ u2) (succ u4), max (succ u1) (succ u4)} (AlgHom.{u3, max u2 u4, max u1 u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10)) (Matrix.{u4, u4, u2} n n A) (fun (_x : Matrix.{u4, u4, u2} n n A) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Matrix.{u4, u4, u2} n n A) => Matrix.{u4, u4, u1} n n B) _x) (SMulHomClass.toFunLike.{max (max u2 u1) u4, u3, max u2 u4, max u1 u4} (AlgHom.{u3, max u2 u4, max u1 u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10)) R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) (SMulZeroClass.toSMul.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) (AddMonoid.toZero.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (AddCommMonoid.toAddMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))))) (DistribSMul.toSMulZeroClass.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) (AddMonoid.toAddZeroClass.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (AddCommMonoid.toAddMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))))) (DistribMulAction.toDistribSMul.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (AddCommMonoid.toAddMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))))) (Module.toDistribMulAction.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) _inst_6 (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_9)))))) (SMulZeroClass.toSMul.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (AddMonoid.toZero.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (AddCommMonoid.toAddMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))))) (DistribSMul.toSMulZeroClass.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (AddMonoid.toAddZeroClass.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (AddCommMonoid.toAddMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))))) (DistribMulAction.toDistribSMul.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (AddCommMonoid.toAddMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))))) (Module.toDistribMulAction.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10)))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u2 u1) u4, u3, max u2 u4, max u1 u4} (AlgHom.{u3, max u2 u4, max u1 u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10)) R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (AddCommMonoid.toAddMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))))) (AddCommMonoid.toAddMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))))) (Module.toDistribMulAction.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) _inst_6 (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_9))) (Module.toDistribMulAction.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u2 u1) u4, u3, max u2 u4, max u1 u4} (AlgHom.{u3, max u2 u4, max u1 u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10)) R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))) (Module.toDistribMulAction.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) (CommSemiring.toSemiring.{u3} R _inst_6) 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(CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10)))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u2 u1) u4, u3, max u2 u4, max u1 u4} (AlgHom.{u3, max u2 u4, max u1 u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10)) R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (AddCommMonoid.toAddMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))))) (AddCommMonoid.toAddMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))))) (Module.toDistribMulAction.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) _inst_6 (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_9))) (Module.toDistribMulAction.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u2 u1) u4, u3, max u2 u4, max u1 u4} (AlgHom.{u3, max u2 u4, max u1 u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10)) R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))) (Module.toDistribMulAction.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) _inst_6 (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_9))) (Module.toDistribMulAction.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, max u2 u4, max u1 u4, max (max u2 u1) u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10) (AlgHom.{u3, max u2 u4, max u1 u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10)) (AlgHom.algHomClass.{u3, max u2 u4, max u1 u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_10)))))) (AlgHom.mapMatrix.{u2, u1, u4, u3} n R A B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_7)) (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_8)) _inst_9 _inst_10 f) M))
 Case conversion may be inaccurate. Consider using '#align alg_hom.map_adjugate AlgHom.map_adjugateₓ'. -/
 theorem AlgHom.map_adjugate {R A B : Type _} [CommSemiring R] [CommRing A] [CommRing B]
     [Algebra R A] [Algebra R B] (f : A →ₐ[R] B) (M : Matrix n n A) :
@@ -571,7 +571,7 @@ theorem AlgHom.map_adjugate {R A B : Type _} [CommSemiring R] [CommRing A] [Comm
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α), Eq.{succ u2} α (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A)) (HPow.hPow.{u2, 0, u2} α Nat α (instHPow.{u2, 0} α Nat (Monoid.Pow.{u2} α (Ring.toMonoid.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A) (HSub.hSub.{0, 0, 0} Nat Nat Nat (instHSub.{0} Nat Nat.hasSub) (Fintype.card.{u1} n _inst_2) (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α), Eq.{succ u2} α (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A)) (HPow.hPow.{u2, 0, u2} α Nat α (instHPow.{u2, 0} α Nat (Monoid.Pow.{u2} α (MonoidWithZero.toMonoid.{u2} α (Semiring.toMonoidWithZero.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A) (HSub.hSub.{0, 0, 0} Nat Nat Nat (instHSub.{0} Nat instSubNat) (Fintype.card.{u1} n _inst_2) (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α), Eq.{succ u2} α (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A)) (HPow.hPow.{u2, 0, u2} α Nat α (instHPow.{u2, 0} α Nat (Monoid.Pow.{u2} α (MonoidWithZero.toMonoid.{u2} α (Semiring.toMonoidWithZero.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))))) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A) (HSub.hSub.{0, 0, 0} Nat Nat Nat (instHSub.{0} Nat instSubNat) (Fintype.card.{u1} n _inst_2) (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))
 Case conversion may be inaccurate. Consider using '#align matrix.det_adjugate Matrix.det_adjugateₓ'. -/
 theorem det_adjugate (A : Matrix n n α) : (adjugate A).det = A.det ^ (Fintype.card n - 1) :=
   by
@@ -609,7 +609,7 @@ theorem adjugate_fin_zero (A : Matrix (Fin 0) (Fin 0) α) : adjugate A = 0 :=
 lean 3 declaration is
   forall {α : Type.{u1}} [_inst_5 : CommRing.{u1} α] (A : Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))) (Fin (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))) α), Eq.{succ u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))) (Fin (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))) α) (Matrix.adjugate.{0, u1} (Fin (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))) α (fun (a : Fin (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))) (b : Fin (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))) => Fin.decidableEq (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))) _inst_5 A) (OfNat.ofNat.{u1} (Matrix.{0, 0, u1} (Fin (One.one.{0} Nat Nat.hasOne)) (Fin (One.one.{0} Nat Nat.hasOne)) α) 1 (OfNat.mk.{u1} (Matrix.{0, 0, u1} (Fin (One.one.{0} Nat Nat.hasOne)) (Fin (One.one.{0} Nat Nat.hasOne)) α) 1 (One.one.{u1} (Matrix.{0, 0, u1} (Fin (One.one.{0} Nat Nat.hasOne)) (Fin (One.one.{0} Nat Nat.hasOne)) α) (Matrix.hasOne.{u1, 0} (Fin (One.one.{0} Nat Nat.hasOne)) α (fun (a : Fin (One.one.{0} Nat Nat.hasOne)) (b : Fin (One.one.{0} Nat Nat.hasOne)) => Fin.decidableEq (One.one.{0} Nat Nat.hasOne) a b) (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (CommRing.toRing.{u1} α _inst_5)))))) (AddMonoidWithOne.toOne.{u1} α (AddGroupWithOne.toAddMonoidWithOne.{u1} α (AddCommGroupWithOne.toAddGroupWithOne.{u1} α (Ring.toAddCommGroupWithOne.{u1} α (CommRing.toRing.{u1} α _inst_5)))))))))
 but is expected to have type
-  forall {α : Type.{u1}} [_inst_5 : CommRing.{u1} α] (A : Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) (Fin (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) α), Eq.{succ u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) (Fin (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) α) (Matrix.adjugate.{0, u1} (Fin (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) α (fun (a : Fin (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) (b : Fin (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) => instDecidableEqFin (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) _inst_5 A) (OfNat.ofNat.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) (Fin (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) α) 1 (One.toOfNat1.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) (Fin (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) α) (Matrix.one.{u1, 0} (Fin (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) α (fun (a : Fin (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) (b : Fin (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) => instDecidableEqFin (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) a b) (CommMonoidWithZero.toZero.{u1} α (CommSemiring.toCommMonoidWithZero.{u1} α (CommRing.toCommSemiring.{u1} α _inst_5))) (NonAssocRing.toOne.{u1} α (Ring.toNonAssocRing.{u1} α (CommRing.toRing.{u1} α _inst_5))))))
+  forall {α : Type.{u1}} [_inst_5 : CommRing.{u1} α] (A : Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) (Fin (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) α), Eq.{succ u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) (Fin (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) α) (Matrix.adjugate.{0, u1} (Fin (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) α (fun (a : Fin (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) (b : Fin (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) => instDecidableEqFin (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) _inst_5 A) (OfNat.ofNat.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) (Fin (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) α) 1 (One.toOfNat1.{u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) (Fin (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) α) (Matrix.one.{u1, 0} (Fin (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) α (fun (a : Fin (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) (b : Fin (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) => instDecidableEqFin (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) a b) (CommMonoidWithZero.toZero.{u1} α (CommSemiring.toCommMonoidWithZero.{u1} α (CommRing.toCommSemiring.{u1} α _inst_5))) (Semiring.toOne.{u1} α (CommSemiring.toSemiring.{u1} α (CommRing.toCommSemiring.{u1} α _inst_5))))))
 Case conversion may be inaccurate. Consider using '#align matrix.adjugate_fin_one Matrix.adjugate_fin_oneₓ'. -/
 @[simp]
 theorem adjugate_fin_one (A : Matrix (Fin 1) (Fin 1) α) : adjugate A = 1 :=
@@ -728,7 +728,7 @@ theorem adjugate_mul_distrib (A B : Matrix n n α) : adjugate (A ⬝ B) = adjuga
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (k : Nat), Eq.{succ (max u1 u2)} (Matrix.{u1, u1, u2} n n α) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (HPow.hPow.{max u1 u2, 0, max u1 u2} (Matrix.{u1, u1, u2} n n α) Nat (Matrix.{u1, u1, u2} n n α) (instHPow.{max u1 u2, 0} (Matrix.{u1, u1, u2} n n α) Nat (Monoid.Pow.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Ring.toMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Matrix.ring.{u2, u1} n α _inst_2 (fun (a : n) (b : n) => _inst_1 a b) (CommRing.toRing.{u2} α _inst_5))))) A k)) (HPow.hPow.{max u1 u2, 0, max u1 u2} (Matrix.{u1, u1, u2} n n α) Nat (Matrix.{u1, u1, u2} n n α) (instHPow.{max u1 u2, 0} (Matrix.{u1, u1, u2} n n α) Nat (Monoid.Pow.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Ring.toMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Matrix.ring.{u2, u1} n α _inst_2 (fun (a : n) (b : n) => _inst_1 a b) (CommRing.toRing.{u2} α _inst_5))))) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) k)
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (k : Nat), Eq.{max (succ u1) (succ u2)} (Matrix.{u1, u1, u2} n n α) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (HPow.hPow.{max u1 u2, 0, max u1 u2} (Matrix.{u1, u1, u2} n n α) Nat (Matrix.{u1, u1, u2} n n α) (instHPow.{max u1 u2, 0} (Matrix.{u1, u1, u2} n n α) Nat (Monoid.Pow.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (MonoidWithZero.toMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Semiring.toMonoidWithZero.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Matrix.semiring.{u2, u1} n α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))))) A k)) (HPow.hPow.{max u1 u2, 0, max u1 u2} (Matrix.{u1, u1, u2} n n α) Nat (Matrix.{u1, u1, u2} n n α) (instHPow.{max u1 u2, 0} (Matrix.{u1, u1, u2} n n α) Nat (Monoid.Pow.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (MonoidWithZero.toMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Semiring.toMonoidWithZero.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Matrix.semiring.{u2, u1} n α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))))) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) k)
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (k : Nat), Eq.{max (succ u1) (succ u2)} (Matrix.{u1, u1, u2} n n α) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (HPow.hPow.{max u1 u2, 0, max u1 u2} (Matrix.{u1, u1, u2} n n α) Nat (Matrix.{u1, u1, u2} n n α) (instHPow.{max u1 u2, 0} (Matrix.{u1, u1, u2} n n α) Nat (Monoid.Pow.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (MonoidWithZero.toMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Semiring.toMonoidWithZero.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Matrix.semiring.{u2, u1} n α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))))) A k)) (HPow.hPow.{max u1 u2, 0, max u1 u2} (Matrix.{u1, u1, u2} n n α) Nat (Matrix.{u1, u1, u2} n n α) (instHPow.{max u1 u2, 0} (Matrix.{u1, u1, u2} n n α) Nat (Monoid.Pow.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (MonoidWithZero.toMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Semiring.toMonoidWithZero.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Matrix.semiring.{u2, u1} n α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))))) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) k)
 Case conversion may be inaccurate. Consider using '#align matrix.adjugate_pow Matrix.adjugate_powₓ'. -/
 @[simp]
 theorem adjugate_pow (A : Matrix n n α) (k : ℕ) : adjugate (A ^ k) = adjugate A ^ k :=
@@ -742,7 +742,7 @@ theorem adjugate_pow (A : Matrix n n α) (k : ℕ) : adjugate (A ^ k) = adjugate
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α), Eq.{succ (max u1 u2)} (Matrix.{u1, u1, u2} n n α) (SMul.smul.{u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.hasSmul.{u2, u1, u1, u2} n n α α (Mul.toSMul.{u2} α (Distrib.toHasMul.{u2} α (Ring.toDistrib.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A))) (SMul.smul.{u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.hasSmul.{u2, u1, u1, u2} n n α α (Mul.toSMul.{u2} α (Distrib.toHasMul.{u2} α (Ring.toDistrib.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (HPow.hPow.{u2, 0, u2} α Nat α (instHPow.{u2, 0} α Nat (Monoid.Pow.{u2} α (Ring.toMonoid.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A) (HSub.hSub.{0, 0, 0} Nat Nat Nat (instHSub.{0} Nat Nat.hasSub) (Fintype.card.{u1} n _inst_2) (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) A)
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α), Eq.{max (succ u1) (succ u2)} (Matrix.{u1, u1, u2} n n α) (HSMul.hSMul.{u2, max u2 u1, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.{u1, u1, u2} n n α) (instHSMul.{u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.smul.{u2, u1, u1, u2} n n α α (Algebra.toSMul.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A))) (HSMul.hSMul.{u2, max u1 u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.{u1, u1, u2} n n α) (instHSMul.{u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.smul.{u2, u1, u1, u2} n n α α (Algebra.toSMul.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (HPow.hPow.{u2, 0, u2} α Nat α (instHPow.{u2, 0} α Nat (Monoid.Pow.{u2} α (MonoidWithZero.toMonoid.{u2} α (Semiring.toMonoidWithZero.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A) (HSub.hSub.{0, 0, 0} Nat Nat Nat (instHSub.{0} Nat instSubNat) (Fintype.card.{u1} n _inst_2) (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) A)
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α), Eq.{max (succ u1) (succ u2)} (Matrix.{u1, u1, u2} n n α) (HSMul.hSMul.{u2, max u2 u1, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.{u1, u1, u2} n n α) (instHSMul.{u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.smul.{u2, u1, u1, u2} n n α α (Algebra.toSMul.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A))) (HSMul.hSMul.{u2, max u1 u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.{u1, u1, u2} n n α) (instHSMul.{u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.smul.{u2, u1, u1, u2} n n α α (Algebra.toSMul.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (HPow.hPow.{u2, 0, u2} α Nat α (instHPow.{u2, 0} α Nat (Monoid.Pow.{u2} α (MonoidWithZero.toMonoid.{u2} α (Semiring.toMonoidWithZero.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))))) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A) (HSub.hSub.{0, 0, 0} Nat Nat Nat (instHSub.{0} Nat instSubNat) (Fintype.card.{u1} n _inst_2) (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) A)
 Case conversion may be inaccurate. Consider using '#align matrix.det_smul_adjugate_adjugate Matrix.det_smul_adjugate_adjugateₓ'. -/
 theorem det_smul_adjugate_adjugate (A : Matrix n n α) :
     det A • adjugate (adjugate A) = det A ^ (Fintype.card n - 1) • A :=
@@ -757,7 +757,7 @@ theorem det_smul_adjugate_adjugate (A : Matrix n n α) :
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α), (Ne.{1} Nat (Fintype.card.{u1} n _inst_2) (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))) -> (Eq.{succ (max u1 u2)} (Matrix.{u1, u1, u2} n n α) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A)) (SMul.smul.{u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.hasSmul.{u2, u1, u1, u2} n n α α (Mul.toSMul.{u2} α (Distrib.toHasMul.{u2} α (Ring.toDistrib.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (HPow.hPow.{u2, 0, u2} α Nat α (instHPow.{u2, 0} α Nat (Monoid.Pow.{u2} α (Ring.toMonoid.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A) (HSub.hSub.{0, 0, 0} Nat Nat Nat (instHSub.{0} Nat Nat.hasSub) (Fintype.card.{u1} n _inst_2) (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))))) A))
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α), (Ne.{1} Nat (Fintype.card.{u1} n _inst_2) (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) -> (Eq.{max (succ u1) (succ u2)} (Matrix.{u1, u1, u2} n n α) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A)) (HSMul.hSMul.{u2, max u1 u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.{u1, u1, u2} n n α) (instHSMul.{u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.smul.{u2, u1, u1, u2} n n α α (Algebra.toSMul.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (HPow.hPow.{u2, 0, u2} α Nat α (instHPow.{u2, 0} α Nat (Monoid.Pow.{u2} α (MonoidWithZero.toMonoid.{u2} α (Semiring.toMonoidWithZero.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A) (HSub.hSub.{0, 0, 0} Nat Nat Nat (instHSub.{0} Nat instSubNat) (Fintype.card.{u1} n _inst_2) (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)))) A))
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α), (Ne.{1} Nat (Fintype.card.{u1} n _inst_2) (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) -> (Eq.{max (succ u1) (succ u2)} (Matrix.{u1, u1, u2} n n α) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A)) (HSMul.hSMul.{u2, max u1 u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.{u1, u1, u2} n n α) (instHSMul.{u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.smul.{u2, u1, u1, u2} n n α α (Algebra.toSMul.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (HPow.hPow.{u2, 0, u2} α Nat α (instHPow.{u2, 0} α Nat (Monoid.Pow.{u2} α (MonoidWithZero.toMonoid.{u2} α (Semiring.toMonoidWithZero.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))))) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A) (HSub.hSub.{0, 0, 0} Nat Nat Nat (instHSub.{0} Nat instSubNat) (Fintype.card.{u1} n _inst_2) (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)))) A))
 Case conversion may be inaccurate. Consider using '#align matrix.adjugate_adjugate Matrix.adjugate_adjugateₓ'. -/
 /-- Note that this is not true for `fintype.card n = 1` since `1 - 2 = 0` and not `-1`. -/
 theorem adjugate_adjugate (A : Matrix n n α) (h : Fintype.card n ≠ 1) :
@@ -788,7 +788,7 @@ theorem adjugate_adjugate (A : Matrix n n α) (h : Fintype.card n ≠ 1) :
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) [_inst_6 : Nontrivial.{u1} n], Eq.{succ (max u1 u2)} (Matrix.{u1, u1, u2} n n α) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A)) (SMul.smul.{u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.hasSmul.{u2, u1, u1, u2} n n α α (Mul.toSMul.{u2} α (Distrib.toHasMul.{u2} α (Ring.toDistrib.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (HPow.hPow.{u2, 0, u2} α Nat α (instHPow.{u2, 0} α Nat (Monoid.Pow.{u2} α (Ring.toMonoid.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A) (HSub.hSub.{0, 0, 0} Nat Nat Nat (instHSub.{0} Nat Nat.hasSub) (Fintype.card.{u1} n _inst_2) (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))))) A)
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) [_inst_6 : Nontrivial.{u1} n], Eq.{max (succ u1) (succ u2)} (Matrix.{u1, u1, u2} n n α) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A)) (HSMul.hSMul.{u2, max u1 u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.{u1, u1, u2} n n α) (instHSMul.{u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.smul.{u2, u1, u1, u2} n n α α (Algebra.toSMul.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (HPow.hPow.{u2, 0, u2} α Nat α (instHPow.{u2, 0} α Nat (Monoid.Pow.{u2} α (MonoidWithZero.toMonoid.{u2} α (Semiring.toMonoidWithZero.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A) (HSub.hSub.{0, 0, 0} Nat Nat Nat (instHSub.{0} Nat instSubNat) (Fintype.card.{u1} n _inst_2) (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)))) A)
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) [_inst_6 : Nontrivial.{u1} n], Eq.{max (succ u1) (succ u2)} (Matrix.{u1, u1, u2} n n α) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A)) (HSMul.hSMul.{u2, max u1 u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.{u1, u1, u2} n n α) (instHSMul.{u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.smul.{u2, u1, u1, u2} n n α α (Algebra.toSMul.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)) (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (HPow.hPow.{u2, 0, u2} α Nat α (instHPow.{u2, 0} α Nat (Monoid.Pow.{u2} α (MonoidWithZero.toMonoid.{u2} α (Semiring.toMonoidWithZero.{u2} α (CommSemiring.toSemiring.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))))) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A) (HSub.hSub.{0, 0, 0} Nat Nat Nat (instHSub.{0} Nat instSubNat) (Fintype.card.{u1} n _inst_2) (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)))) A)
 Case conversion may be inaccurate. Consider using '#align matrix.adjugate_adjugate' Matrix.adjugate_adjugate'ₓ'. -/
 /-- A weaker version of `matrix.adjugate_adjugate` that uses `nontrivial`. -/
 theorem adjugate_adjugate' (A : Matrix n n α) [Nontrivial n] :

mathlib commit https://github.com/leanprover-community/mathlib/commit/36b8aa61ea7c05727161f96a0532897bd72aedab

@@ -451,7 +451,7 @@ theorem adjugate_smul (r : α) (A : Matrix n n α) :
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α), Eq.{max (succ u1) (succ u2)} (n -> α) (Matrix.mulVec.{u2, u1, u1} n n α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) _inst_2 A (coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b)) (SMul.smul.{u2, max u1 u2} α (n -> α) (Function.hasSMul.{u1, u2, u2} n α α (Mul.toSMul.{u2} α (Distrib.toHasMul.{u2} α (Ring.toDistrib.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A) b)
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α), Eq.{max (succ u1) (succ u2)} (n -> α) (Matrix.mulVec.{u2, u1, u1} n n α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) _inst_2 A (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b)) (HSMul.hSMul.{u2, max u1 u2, max u1 u2} α (n -> α) (n -> α) (instHSMul.{u2, max u1 u2} α (n -> α) (Pi.instSMul.{u1, u2, u2} n α (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.3231 : n) => α) (fun (i : n) => Algebra.toSMul.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A) b)
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α), Eq.{max (succ u1) (succ u2)} (n -> α) (Matrix.mulVec.{u2, u1, u1} n n α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) _inst_2 A (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b)) (HSMul.hSMul.{u2, max u1 u2, max u1 u2} α (n -> α) (n -> α) (instHSMul.{u2, max u1 u2} α (n -> α) (Pi.instSMul.{u1, u2, u2} n α (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.3227 : n) => α) (fun (i : n) => Algebra.toSMul.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A) b)
 Case conversion may be inaccurate. Consider using '#align matrix.mul_vec_cramer Matrix.mulVec_cramerₓ'. -/
 /-- A stronger form of **Cramer's rule** that allows us to solve some instances of `A ⬝ x = b` even
 if the determinant is not a unit. A sufficient (but still not necessary) condition is that `A.det`

mathlib commit https://github.com/leanprover-community/mathlib/commit/9b2b58d6b14b895b2f375108e765cb47de71aebd

@@ -117,7 +117,7 @@ def cramer (A : Matrix n n α) : (n → α) →ₗ[α] n → α :=
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), Eq.{succ u2} α (coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b i) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 (Matrix.updateColumn.{u2, u1, u1} n n α (fun (a : n) (b : n) => _inst_1 a b) A i b))
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), Eq.{succ u2} α (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b i) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 (Matrix.updateColumn.{u2, u1, u1} n n α (fun (a : n) (b : n) => _inst_1 a b) A i b))
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), Eq.{succ u2} α (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b i) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 (Matrix.updateColumn.{u2, u1, u1} n n α (fun (a : n) (b : n) => _inst_1 a b) A i b))
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_apply Matrix.cramer_applyₓ'. -/
 theorem cramer_apply (i : n) : cramer A b i = (A.updateColumn i b).det :=
   rfl
@@ -127,7 +127,7 @@ theorem cramer_apply (i : n) : cramer A b i = (A.updateColumn i b).det :=
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), Eq.{succ u2} α (coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.transpose.{u2, u1, u1} n n α A)) b i) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 (Matrix.updateRow.{u2, u1, u1} n n α (fun (a : n) (b : n) => _inst_1 a b) A i b))
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), Eq.{succ u2} α (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.transpose.{u2, u1, u1} n n α A)) b i) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 (Matrix.updateRow.{u2, u1, u1} n n α (fun (a : n) (b : n) => _inst_1 a b) A i b))
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), Eq.{succ u2} α (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.transpose.{u2, u1, u1} n n α A)) b i) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 (Matrix.updateRow.{u2, u1, u1} n n α (fun (a : n) (b : n) => _inst_1 a b) A i b))
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_transpose_apply Matrix.cramer_transpose_applyₓ'. -/
 theorem cramer_transpose_apply (i : n) : cramer Aᵀ b i = (A.updateRow i b).det := by
   rw [cramer_apply, update_column_transpose, det_transpose]
@@ -137,7 +137,7 @@ theorem cramer_transpose_apply (i : n) : cramer Aᵀ b i = (A.updateRow i b).det
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (i : n), Eq.{max (succ u1) (succ u2)} (n -> α) (coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.transpose.{u2, u1, u1} n n α A)) (A i)) (Pi.single.{u1, u2} n (fun (ᾰ : n) => α) (fun (a : n) (b : n) => _inst_1 a b) (fun (i : n) => MulZeroClass.toHasZero.{u2} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) i (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A))
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (i : n), Eq.{max (succ u1) (succ u2)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) (A i)) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.transpose.{u2, u1, u1} n n α A)) (A i)) (Pi.single.{u1, u2} n (fun (ᾰ : n) => α) (fun (a : n) (b : n) => _inst_1 a b) (fun (i : n) => CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) i (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A))
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (i : n), Eq.{max (succ u1) (succ u2)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) (A i)) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.transpose.{u2, u1, u1} n n α A)) (A i)) (Pi.single.{u1, u2} n (fun (ᾰ : n) => α) (fun (a : n) (b : n) => _inst_1 a b) (fun (i : n) => CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) i (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A))
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_transpose_row_self Matrix.cramer_transpose_row_selfₓ'. -/
 theorem cramer_transpose_row_self (i : n) : Aᵀ.cramer (A i) = Pi.single i A.det :=
   by
@@ -157,7 +157,7 @@ theorem cramer_transpose_row_self (i : n) : Aᵀ.cramer (A i) = Pi.single i A.de
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), (forall (j : n), Eq.{succ u2} α (b j) (A j i)) -> (Eq.{max (succ u1) (succ u2)} (n -> α) (coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b) (Pi.single.{u1, u2} n (fun (ᾰ : n) => α) (fun (a : n) (b : n) => _inst_1 a b) (fun (i : n) => MulZeroClass.toHasZero.{u2} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) i (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A)))
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), (forall (j : n), Eq.{succ u2} α (b j) (A j i)) -> (Eq.{max (succ u1) (succ u2)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) b) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b) (Pi.single.{u1, u2} n (fun (ᾰ : n) => α) (fun (a : n) (b : n) => _inst_1 a b) (fun (i : n) => CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) i (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A)))
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), (forall (j : n), Eq.{succ u2} α (b j) (A j i)) -> (Eq.{max (succ u1) (succ u2)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) b) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b) (Pi.single.{u1, u2} n (fun (ᾰ : n) => α) (fun (a : n) (b : n) => _inst_1 a b) (fun (i : n) => CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) i (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A)))
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_row_self Matrix.cramer_row_selfₓ'. -/
 theorem cramer_row_self (i : n) (h : ∀ j, b j = A j i) : A.cramer b = Pi.single i A.det :=
   by
@@ -170,7 +170,7 @@ theorem cramer_row_self (i : n) (h : ∀ j, b j = A j i) : A.cramer b = Pi.singl
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α], Eq.{succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (OfNat.ofNat.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 1 (OfNat.mk.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 1 (One.one.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Matrix.hasOne.{u2, u1} n α (fun (a : n) (b : n) => _inst_1 a b) (MulZeroClass.toHasZero.{u2} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (AddMonoidWithOne.toOne.{u2} α (AddGroupWithOne.toAddMonoidWithOne.{u2} α (AddCommGroupWithOne.toAddGroupWithOne.{u2} α (Ring.toAddCommGroupWithOne.{u2} α (CommRing.toRing.{u2} α _inst_5)))))))))) (OfNat.ofNat.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) 1 (OfNat.mk.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) 1 (One.one.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (LinearMap.module.End.hasOne.{u2, max u1 u2} α (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))))))
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α], Eq.{max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (OfNat.ofNat.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 1 (One.toOfNat1.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Matrix.one.{u2, u1} n α (fun (a : n) (b : n) => _inst_1 a b) (CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) (NonAssocRing.toOne.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))))) (OfNat.ofNat.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) 1 (One.toOfNat1.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (LinearMap.instOneEnd.{u2, max u1 u2} α (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))))))
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α], Eq.{max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (OfNat.ofNat.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 1 (One.toOfNat1.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Matrix.one.{u2, u1} n α (fun (a : n) (b : n) => _inst_1 a b) (CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) (NonAssocRing.toOne.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))))) (OfNat.ofNat.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) 1 (One.toOfNat1.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (LinearMap.instOneEnd.{u2, max u1 u2} α (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))))))
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_one Matrix.cramer_oneₓ'. -/
 @[simp]
 theorem cramer_one : cramer (1 : Matrix n n α) = 1 :=
@@ -186,7 +186,7 @@ theorem cramer_one : cramer (1 : Matrix n n α) = 1 :=
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (r : α) (A : Matrix.{u1, u1, u2} n n α), Eq.{succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (SMul.smul.{u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.hasSmul.{u2, u1, u1, u2} n n α α (Mul.toSMul.{u2} α (Distrib.toHasMul.{u2} α (Ring.toDistrib.{u2} α (CommRing.toRing.{u2} α _inst_5))))) r A)) (SMul.smul.{u2, max u1 u2} α (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (LinearMap.hasSmul.{u2, u2, u2, max u1 u2, max u1 u2} α α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Ring.toMonoid.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Module.toDistribMulAction.{u2, max u1 u2} α (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Function.smulCommClass.{u1, u2, u2, u2} n α α α (Mul.toSMul.{u2} α (Distrib.toHasMul.{u2} α (Ring.toDistrib.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Mul.toSMul.{u2} α (Distrib.toHasMul.{u2} α (Ring.toDistrib.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (smulCommClass_self.{u2, u2} α α (CommRing.toCommMonoid.{u2} α _inst_5) (Monoid.toMulAction.{u2} α (CommMonoid.toMonoid.{u2} α (CommRing.toCommMonoid.{u2} α _inst_5)))))) (HPow.hPow.{u2, 0, u2} α Nat α (instHPow.{u2, 0} α Nat (Monoid.Pow.{u2} α (Ring.toMonoid.{u2} α (CommRing.toRing.{u2} α _inst_5)))) r (HSub.hSub.{0, 0, 0} Nat Nat Nat (instHSub.{0} Nat Nat.hasSub) (Fintype.card.{u1} n _inst_2) (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A))
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (r : α) (A : Matrix.{u1, u1, u2} n n α), Eq.{max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (HSMul.hSMul.{u2, max u1 u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.{u1, u1, u2} n n α) (instHSMul.{u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.smul.{u2, u1, u1, u2} n n α α (Algebra.toSMul.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) r A)) (HSMul.hSMul.{u2, max u2 u1, max u1 u2} α (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (instHSMul.{u2, max u1 u2} α (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (ᾰ : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (LinearMap.instSMulLinearMap.{u2, u2, u2, max u1 u2, max u1 u2} α α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (MonoidWithZero.toMonoid.{u2} α (Semiring.toMonoidWithZero.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.distribMulAction.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.279 : n) => α) α (MonoidWithZero.toMonoid.{u2} α (Semiring.toMonoidWithZero.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (fun (i : n) => AddMonoidWithOne.toAddMonoid.{u2} α (AddGroupWithOne.toAddMonoidWithOne.{u2} α (Ring.toAddGroupWithOne.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (fun (i : n) => Module.toDistribMulAction.{u2, u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (_private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.279 : n) => α) α α (fun (i : n) => Algebra.toSMul.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) (fun (i : n) => Algebra.toSMul.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) (fun (i : n) => smulCommClass_self.{u2, u2} α α (CommRing.toCommMonoid.{u2} α _inst_5) (MulActionWithZero.toMulAction.{u2, u2} α α (Semiring.toMonoidWithZero.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))) (CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) (MonoidWithZero.toMulActionWithZero.{u2} α (Semiring.toMonoidWithZero.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))))))) (HPow.hPow.{u2, 0, u2} α Nat α (instHPow.{u2, 0} α Nat (Monoid.Pow.{u2} α (MonoidWithZero.toMonoid.{u2} α (Semiring.toMonoidWithZero.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) r (HSub.hSub.{0, 0, 0} Nat Nat Nat (instHSub.{0} Nat instSubNat) (Fintype.card.{u1} n _inst_2) (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A))
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (r : α) (A : Matrix.{u1, u1, u2} n n α), Eq.{max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (HSMul.hSMul.{u2, max u1 u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.{u1, u1, u2} n n α) (instHSMul.{u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.smul.{u2, u1, u1, u2} n n α α (Algebra.toSMul.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) r A)) (HSMul.hSMul.{u2, max u2 u1, max u1 u2} α (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (instHSMul.{u2, max u1 u2} α (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (ᾰ : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (LinearMap.instSMulLinearMap.{u2, u2, u2, max u1 u2, max u1 u2} α α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (MonoidWithZero.toMonoid.{u2} α (Semiring.toMonoidWithZero.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.distribMulAction.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.279 : n) => α) α (MonoidWithZero.toMonoid.{u2} α (Semiring.toMonoidWithZero.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (fun (i : n) => AddMonoidWithOne.toAddMonoid.{u2} α (AddGroupWithOne.toAddMonoidWithOne.{u2} α (Ring.toAddGroupWithOne.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (fun (i : n) => Module.toDistribMulAction.{u2, u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.279 : n) => α) α α (fun (i : n) => Algebra.toSMul.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) (fun (i : n) => Algebra.toSMul.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) (fun (i : n) => smulCommClass_self.{u2, u2} α α (CommRing.toCommMonoid.{u2} α _inst_5) (MulActionWithZero.toMulAction.{u2, u2} α α (Semiring.toMonoidWithZero.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))) (CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) (MonoidWithZero.toMulActionWithZero.{u2} α (Semiring.toMonoidWithZero.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))))))) (HPow.hPow.{u2, 0, u2} α Nat α (instHPow.{u2, 0} α Nat (Monoid.Pow.{u2} α (MonoidWithZero.toMonoid.{u2} α (Semiring.toMonoidWithZero.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) r (HSub.hSub.{0, 0, 0} Nat Nat Nat (instHSub.{0} Nat instSubNat) (Fintype.card.{u1} n _inst_2) (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A))
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_smul Matrix.cramer_smulₓ'. -/
 theorem cramer_smul (r : α) (A : Matrix n n α) :
     cramer (r • A) = r ^ (Fintype.card n - 1) • cramer A :=
@@ -197,7 +197,7 @@ theorem cramer_smul (r : α) (A : Matrix n n α) :
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] [_inst_6 : Subsingleton.{succ u1} n] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), Eq.{succ u2} α (coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b i) (b i)
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] [_inst_6 : Subsingleton.{succ u1} n] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), Eq.{succ u2} α (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b i) (b i)
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] [_inst_6 : Subsingleton.{succ u1} n] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α) (i : n), Eq.{succ u2} α (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b i) (b i)
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_subsingleton_apply Matrix.cramer_subsingleton_applyₓ'. -/
 @[simp]
 theorem cramer_subsingleton_apply [Subsingleton n] (A : Matrix n n α) (b : n → α) (i : n) :
@@ -208,7 +208,7 @@ theorem cramer_subsingleton_apply [Subsingleton n] (A : Matrix n n α) (b : n 
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] [_inst_6 : Nontrivial.{u1} n], Eq.{succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (OfNat.ofNat.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 0 (OfNat.mk.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 0 (Zero.zero.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Matrix.hasZero.{u2, u1, u1} n n α (MulZeroClass.toHasZero.{u2} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))))))))) (OfNat.ofNat.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) 0 (OfNat.mk.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) 0 (Zero.zero.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (LinearMap.hasZero.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))))))
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] [_inst_6 : Nontrivial.{u1} n], Eq.{max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (OfNat.ofNat.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 0 (Zero.toOfNat0.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Matrix.zero.{u2, u1, u1} n n α (CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))))) (OfNat.ofNat.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) 0 (Zero.toOfNat0.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (LinearMap.instZeroLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))))
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] [_inst_6 : Nontrivial.{u1} n], Eq.{max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (OfNat.ofNat.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 0 (Zero.toOfNat0.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Matrix.zero.{u2, u1, u1} n n α (CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))))) (OfNat.ofNat.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) 0 (Zero.toOfNat0.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (LinearMap.instZeroLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))))
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_zero Matrix.cramer_zeroₓ'. -/
 theorem cramer_zero [Nontrivial n] : cramer (0 : Matrix n n α) = 0 :=
   by
@@ -223,7 +223,7 @@ theorem cramer_zero [Nontrivial n] : cramer (0 : Matrix n n α) = 0 :=
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) {β : Type.{u3}} (s : Finset.{u3} β) (f : β -> n -> α), Eq.{succ (max u1 u2)} (n -> α) (Finset.sum.{max u1 u2, u3} (n -> α) β (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) s (fun (x : β) => coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) (f x))) (coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α 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 but is expected to have type
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+  forall {n : Type.{u2}} {α : Type.{u3}} [_inst_1 : DecidableEq.{succ u2} n] [_inst_2 : Fintype.{u2} n] [_inst_5 : CommRing.{u3} α] (A : Matrix.{u2, u2, u3} n n α) {β : Type.{u1}} (s : Finset.{u1} β) (f : β -> n -> α), Eq.{max (succ u2) (succ u3)} (n -> α) (Finset.sum.{max u2 u3, u1} (n -> α) β (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) s (fun (x : β) => FunLike.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u3, u3, max u2 u3, max u2 u3} α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (RingHom.id.{u3} α (NonAssocRing.toNonAssocSemiring.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u2, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max u2 u3, max u2 u3} α α (n -> α) (n -> α) (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (RingHom.id.{u3} α (NonAssocRing.toNonAssocSemiring.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (Matrix.cramer.{u2, u3} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) (f x))) (FunLike.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u3, u3, max u2 u3, max u2 u3} α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (RingHom.id.{u3} α (NonAssocRing.toNonAssocSemiring.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u2, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max u2 u3, max u2 u3} α α (n -> α) (n -> α) (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (RingHom.id.{u3} α (NonAssocRing.toNonAssocSemiring.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (Matrix.cramer.{u2, u3} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) (Finset.sum.{max u2 u3, u1} (n -> α) β (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) s (fun (x : β) => f x)))
 Case conversion may be inaccurate. Consider using '#align matrix.sum_cramer Matrix.sum_cramerₓ'. -/
 /-- Use linearity of `cramer` to take it out of a summation. -/
 theorem sum_cramer {β} (s : Finset β) (f : β → n → α) :
@@ -235,7 +235,7 @@ theorem sum_cramer {β} (s : Finset β) (f : β → n → α) :
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) {β : Type.{u3}} (s : Finset.{u3} β) (f : n -> β -> α) (i : n), Eq.{succ u2} α (Finset.sum.{u2, u3} α β (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) s (fun (x : β) => coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} 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 but is expected to have type
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(Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u3, u3} α α (CommRing.toCommSemiring.{u3} α _inst_5) _inst_5 (Algebra.id.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (RingHom.id.{u3} α (NonAssocRing.toNonAssocSemiring.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (Matrix.cramer.{u2, u3} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) (fun (j : n) => Finset.sum.{u3, u1} α β (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) s (fun (x : β) => f j x)) i)
+  forall {n : Type.{u2}} {α : Type.{u3}} [_inst_1 : DecidableEq.{succ u2} n] [_inst_2 : Fintype.{u2} n] [_inst_5 : CommRing.{u3} α] (A : Matrix.{u2, u2, u3} n n α) {β : Type.{u1}} (s : Finset.{u1} β) (f : n -> β -> α) (i : n), Eq.{succ u3} α (Finset.sum.{u3, u1} α β (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) s (fun (x : β) => FunLike.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u3, u3, max u2 u3, max u2 u3} α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (RingHom.id.{u3} α (NonAssocRing.toNonAssocSemiring.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u2, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max u2 u3, max u2 u3} α α (n -> α) (n -> α) (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (RingHom.id.{u3} α (NonAssocRing.toNonAssocSemiring.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (Matrix.cramer.{u2, u3} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) (fun (j : n) => f j x) i)) (FunLike.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u3, u3, max u2 u3, max u2 u3} α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (RingHom.id.{u3} α (NonAssocRing.toNonAssocSemiring.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u2, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max u2 u3, max u2 u3} α α (n -> α) (n -> α) (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (RingHom.id.{u3} α (NonAssocRing.toNonAssocSemiring.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (Matrix.cramer.{u2, u3} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) (fun (j : n) => Finset.sum.{u3, u1} α β (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) s (fun (x : β) => f j x)) i)
 Case conversion may be inaccurate. Consider using '#align matrix.sum_cramer_apply Matrix.sum_cramer_applyₓ'. -/
 /-- Use linearity of `cramer` and vector evaluation to take `cramer A _ i` out of a summation. -/
 theorem sum_cramer_apply {β} (s : Finset β) (f : n → β → α) (i : n) :
@@ -255,7 +255,7 @@ theorem sum_cramer_apply {β} (s : Finset β) (f : n → β → α) (i : n) :
 lean 3 declaration is
   forall {m : Type.{u1}} {n : Type.{u2}} {α : Type.{u3}} [_inst_1 : DecidableEq.{succ u2} n] [_inst_2 : Fintype.{u2} n] [_inst_3 : DecidableEq.{succ u1} m] [_inst_4 : Fintype.{u1} m] [_inst_5 : CommRing.{u3} α] (A : Matrix.{u1, u1, u3} m m α) (e : Equiv.{succ u2, succ u1} n m) (b : n -> α), Eq.{max (succ u2) (succ u3)} (n -> α) (coeFn.{succ (max u2 u3), succ (max u2 u3)} (LinearMap.{u3, u3, max u2 u3, max u2 u3} α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.Function.module.{u2, u3, u3} n α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (Pi.Function.module.{u2, u3, u3} n α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (_x : LinearMap.{u3, u3, max u2 u3, max u2 u3} α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.Function.module.{u2, u3, u3} n α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (Pi.Function.module.{u2, u3, u3} n α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u3, u3, max u2 u3, max u2 u3} α α (n -> α) (n -> α) (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.Function.module.{u2, u3, u3} n α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (Pi.Function.module.{u2, u3, u3} n α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α 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_private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u3, u3} α α (CommRing.toCommSemiring.{u3} α _inst_5) _inst_5 (Algebra.id.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u1, u3, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : m) => α) α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : m) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u3, u3} α α (CommRing.toCommSemiring.{u3} α _inst_5) _inst_5 (Algebra.id.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (RingHom.id.{u3} α (NonAssocRing.toNonAssocSemiring.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (Matrix.cramer.{u1, u3} m α (fun (a : m) (b : m) => _inst_3 a b) _inst_4 _inst_5 A) (Function.comp.{succ u1, succ u2, succ u3} m n α b (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (Equiv.{succ u1, succ u2} m n) m (fun (_x : m) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : m) => n) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u2} m n) (Equiv.symm.{succ u2, succ u1} n m e)))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (Equiv.{succ u2, succ u1} n m) n (fun (_x : n) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : n) => m) _x) (Equiv.instFunLikeEquiv.{succ u2, succ u1} n m) e))
+  forall {m : Type.{u1}} {n : Type.{u2}} {α : Type.{u3}} [_inst_1 : DecidableEq.{succ u2} n] [_inst_2 : Fintype.{u2} n] [_inst_3 : DecidableEq.{succ u1} m] [_inst_4 : Fintype.{u1} m] [_inst_5 : CommRing.{u3} α] (A : Matrix.{u1, u1, u3} m m α) (e : Equiv.{succ u2, succ u1} n m) (b : n -> α), Eq.{max (succ u2) (succ u3)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) b) (FunLike.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u3, u3, max u2 u3, max u2 u3} α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (RingHom.id.{u3} α (NonAssocRing.toNonAssocSemiring.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u2, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max u2 u3, max u2 u3} α α (n -> α) (n -> α) (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (RingHom.id.{u3} α (NonAssocRing.toNonAssocSemiring.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (Matrix.cramer.{u2, u3} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.submatrix.{u3, u2, u1, u1, u2} n m m n α A (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (Equiv.{succ u2, succ u1} n m) n (fun (_x : n) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : n) => m) _x) (Equiv.instFunLikeEquiv.{succ u2, succ u1} n m) e) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (Equiv.{succ u2, succ u1} n m) n (fun (_x : n) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : n) => m) _x) (Equiv.instFunLikeEquiv.{succ u2, succ u1} n m) e))) b) (Function.comp.{succ u2, succ u1, succ u3} n m α (FunLike.coe.{max (succ u1) (succ u3), max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{u3, u3, max u1 u3, max u1 u3} α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (RingHom.id.{u3} α (NonAssocRing.toNonAssocSemiring.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (m -> α) (m -> α) (Pi.addCommMonoid.{u1, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : m) => α) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u1, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : m) => α) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u1, u3, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : m) => α) α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : m) => Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (Pi.module.{u1, u3, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : m) => α) α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : m) => Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (m -> α) (fun (_x : m -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : m -> α) => m -> α) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max u1 u3, max u1 u3} α α (m -> α) (m -> α) (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (Pi.addCommMonoid.{u1, u3} m (fun (ᾰ : m) => α) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u1, u3} m (fun (ᾰ : m) => α) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u1, u3, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : m) => α) α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : m) => Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (Pi.module.{u1, u3, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : m) => α) α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : m) => Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (RingHom.id.{u3} α (NonAssocRing.toNonAssocSemiring.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (Matrix.cramer.{u1, u3} m α (fun (a : m) (b : m) => _inst_3 a b) _inst_4 _inst_5 A) (Function.comp.{succ u1, succ u2, succ u3} m n α b (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (Equiv.{succ u1, succ u2} m n) m (fun (_x : m) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : m) => n) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u2} m n) (Equiv.symm.{succ u2, succ u1} n m e)))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (Equiv.{succ u2, succ u1} n m) n (fun (_x : n) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : n) => m) _x) (Equiv.instFunLikeEquiv.{succ u2, succ u1} n m) e))
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_submatrix_equiv Matrix.cramer_submatrix_equivₓ'. -/
 theorem cramer_submatrix_equiv (A : Matrix m m α) (e : n ≃ m) (b : n → α) :
     cramer (A.submatrix e e) b = cramer A (b ∘ e.symm) ∘ e :=
@@ -269,7 +269,7 @@ theorem cramer_submatrix_equiv (A : Matrix m m α) (e : n ≃ m) (b : n → α)
 lean 3 declaration is
   forall {m : Type.{u1}} {n : Type.{u2}} {α : Type.{u3}} [_inst_1 : DecidableEq.{succ u2} n] [_inst_2 : Fintype.{u2} n] [_inst_3 : DecidableEq.{succ u1} m] [_inst_4 : Fintype.{u1} m] [_inst_5 : CommRing.{u3} α] (e : Equiv.{succ u1, succ u2} m n) (A : Matrix.{u1, u1, u3} m m α) (b : n -> α), Eq.{max (succ u2) (succ u3)} (n -> α) (coeFn.{succ (max u2 u3), succ (max u2 u3)} (LinearMap.{u3, u3, max u2 u3, max u2 u3} α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (RingHom.id.{u3} α (Semiring.toNonAssocSemiring.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.Function.module.{u2, u3, u3} n α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (Pi.Function.module.{u2, u3, u3} n α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toAddCommGroup.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (_x : LinearMap.{u3, u3, max u2 u3, max u2 u3} α α 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_private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u3, u3} α α (CommRing.toCommSemiring.{u3} α _inst_5) _inst_5 (Algebra.id.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (Pi.module.{u1, u3, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : m) => α) α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : m) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u3, u3} α α (CommRing.toCommSemiring.{u3} α _inst_5) _inst_5 (Algebra.id.{u3} α (CommRing.toCommSemiring.{u3} α _inst_5)))) (RingHom.id.{u3} α (NonAssocRing.toNonAssocSemiring.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (Matrix.cramer.{u1, u3} m α (fun (a : m) (b : m) => _inst_3 a b) _inst_4 _inst_5 A) (Function.comp.{succ u1, succ u2, succ u3} m n α b (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (Equiv.{succ u1, succ u2} m n) m (fun (_x : m) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : m) => n) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u2} m n) e))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (Equiv.{succ u2, succ u1} n m) n (fun (_x : n) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : n) => m) _x) (Equiv.instFunLikeEquiv.{succ u2, succ u1} n m) (Equiv.symm.{succ u1, succ u2} m n e)))
+  forall {m : Type.{u1}} {n : Type.{u2}} {α : Type.{u3}} [_inst_1 : DecidableEq.{succ u2} n] [_inst_2 : Fintype.{u2} n] [_inst_3 : DecidableEq.{succ u1} m] [_inst_4 : Fintype.{u1} m] [_inst_5 : CommRing.{u3} α] (e : Equiv.{succ u1, succ u2} m n) (A : Matrix.{u1, u1, u3} m m α) (b : n -> α), Eq.{max (succ u2) (succ u3)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) b) (FunLike.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u3, u3, max u2 u3, max u2 u3} α α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (RingHom.id.{u3} α (NonAssocRing.toNonAssocSemiring.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u2, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α 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(Pi.module.{u2, u3, u3} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max u2 u3, max u2 u3} α α (n -> α) (n -> α) (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (Pi.addCommMonoid.{u2, u3} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α 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(a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : m) => α) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u1, u3, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : m) => α) α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : m) => Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (Pi.module.{u1, u3, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : m) => α) α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : m) => Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (m -> α) (fun (_x : m -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : m -> α) => m -> α) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max u1 u3, max u1 u3} α α (m -> α) (m -> α) (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (Pi.addCommMonoid.{u1, u3} m (fun (ᾰ : m) => α) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.addCommMonoid.{u1, u3} m (fun (ᾰ : m) => α) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5)))))) (Pi.module.{u1, u3, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : m) => α) α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : m) => Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (Pi.module.{u1, u3, u3} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : m) => α) α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} α (NonAssocRing.toNonUnitalNonAssocRing.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (fun (i : m) => Semiring.toModule.{u3} α (Ring.toSemiring.{u3} α (CommRing.toRing.{u3} α _inst_5)))) (RingHom.id.{u3} α (NonAssocRing.toNonAssocSemiring.{u3} α (Ring.toNonAssocRing.{u3} α (CommRing.toRing.{u3} α _inst_5))))) (Matrix.cramer.{u1, u3} m α (fun (a : m) (b : m) => _inst_3 a b) _inst_4 _inst_5 A) (Function.comp.{succ u1, succ u2, succ u3} m n α b (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (Equiv.{succ u1, succ u2} m n) m (fun (_x : m) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : m) => n) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u2} m n) e))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (Equiv.{succ u2, succ u1} n m) n (fun (_x : n) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : n) => m) _x) (Equiv.instFunLikeEquiv.{succ u2, succ u1} n m) (Equiv.symm.{succ u1, succ u2} m n e)))
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_reindex Matrix.cramer_reindexₓ'. -/
 theorem cramer_reindex (e : m ≃ n) (A : Matrix m m α) (b : n → α) :
     cramer (reindex e e A) b = cramer A (b ∘ e) ∘ e.symm :=
@@ -376,7 +376,7 @@ theorem adjugate_reindex (e : m ≃ n) (A : Matrix m m α) :
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α), Eq.{max (succ u1) (succ u2)} (n -> α) (coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b) (Matrix.mulVec.{u2, u1, u1} n n α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) _inst_2 (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b)
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α), Eq.{max (succ u1) (succ u2)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) b) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b) (Matrix.mulVec.{u2, u1, u1} n n α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) _inst_2 (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b)
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α), Eq.{max (succ u1) (succ u2)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) b) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b) (Matrix.mulVec.{u2, u1, u1} n n α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) _inst_2 (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b)
 Case conversion may be inaccurate. Consider using '#align matrix.cramer_eq_adjugate_mul_vec Matrix.cramer_eq_adjugate_mulVecₓ'. -/
 /-- Since the map `b ↦ cramer A b` is linear in `b`, it must be multiplication by some matrix. This
 matrix is `A.adjugate`. -/
@@ -399,7 +399,7 @@ theorem cramer_eq_adjugate_mulVec (A : Matrix n n α) (b : n → α) :
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (i : n) (j : n) (k : n), Eq.{succ u2} α (HMul.hMul.{u2, u2, u2} α α α (instHMul.{u2} α (Distrib.toHasMul.{u2} α (Ring.toDistrib.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (A i k) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A k j)) (coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.transpose.{u2, u1, u1} n n α A)) (Pi.single.{u1, u2} n (fun (ᾰ : n) => α) (fun (a : n) (b : n) => _inst_1 a b) (fun (i : n) => MulZeroClass.toHasZero.{u2} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) k (A i k)) j)
 but is expected to have type
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=> NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.transpose.{u2, u1, u1} n n α A)) (Pi.single.{u1, u2} n (fun (ᾰ : n) => α) (fun (a : n) (b : n) => _inst_1 a b) (fun (i : n) => CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) k (A i k)) j)
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (i : n) (j : n) (k : n), Eq.{succ u2} α (HMul.hMul.{u2, u2, u2} α α α (instHMul.{u2} α (NonUnitalNonAssocRing.toMul.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (A i k) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A k j)) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.transpose.{u2, u1, u1} n n α A)) (Pi.single.{u1, u2} n (fun (ᾰ : n) => α) (fun (a : n) (b : n) => _inst_1 a b) (fun (i : n) => CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) k (A i k)) j)
 Case conversion may be inaccurate. Consider using '#align matrix.mul_adjugate_apply Matrix.mul_adjugate_applyₓ'. -/
 theorem mul_adjugate_apply (A : Matrix n n α) (i j k) :
     A i k * adjugate A k j = cramer Aᵀ (Pi.single k (A i k)) j := by
@@ -451,7 +451,7 @@ theorem adjugate_smul (r : α) (A : Matrix n n α) :
 lean 3 declaration is
   forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α), Eq.{max (succ u1) (succ u2)} (n -> α) (Matrix.mulVec.{u2, u1, u1} n n α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) _inst_2 A (coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (_x : LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) => (n -> α) -> n -> α) (LinearMap.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b)) (SMul.smul.{u2, max u1 u2} α (n -> α) (Function.hasSMul.{u1, u2, u2} n α α (Mul.toSMul.{u2} α (Distrib.toHasMul.{u2} α (Ring.toDistrib.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A) b)
 but is expected to have type
-  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α), Eq.{max (succ u1) (succ u2)} (n -> α) (Matrix.mulVec.{u2, u1, u1} n n α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) _inst_2 A (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b)) (HSMul.hSMul.{u2, max u1 u2, max u1 u2} α (n -> α) (n -> α) (instHSMul.{u2, max u1 u2} α (n -> α) (Pi.instSMul.{u1, u2, u2} n α (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.3231 : n) => α) (fun (i : n) => Algebra.toSMul.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A) b)
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (b : n -> α), Eq.{max (succ u1) (succ u2)} (n -> α) (Matrix.mulVec.{u2, u1, u1} n n α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) _inst_2 A (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (n -> α) (fun (_x : n -> α) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : n -> α) => n -> α) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b)) (HSMul.hSMul.{u2, max u1 u2, max u1 u2} α (n -> α) (n -> α) (instHSMul.{u2, max u1 u2} α (n -> α) (Pi.instSMul.{u1, u2, u2} n α (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.3231 : n) => α) (fun (i : n) => Algebra.toSMul.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A) b)
 Case conversion may be inaccurate. Consider using '#align matrix.mul_vec_cramer Matrix.mulVec_cramerₓ'. -/
 /-- A stronger form of **Cramer's rule** that allows us to solve some instances of `A ⬝ x = b` even
 if the determinant is not a unit. A sufficient (but still not necessary) condition is that `A.det`

mathlib commit https://github.com/leanprover-community/mathlib/commit/7e281deff072232a3c5b3e90034bd65dde396312

@@ -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.adjugate
-! leanprover-community/mathlib commit 0e2aab2b0d521f060f62a14d2cf2e2c54e8491d6
+! leanprover-community/mathlib commit 4f81bc21e32048db7344b7867946e992cf5f68cc
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -16,6 +16,9 @@ import Mathbin.RingTheory.Polynomial.Basic
 /-!
 # Cramer's rule and adjugate matrices
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 The adjugate matrix is the transpose of the cofactor matrix.
 It is calculated with Cramer's rule, which we introduce first.
 The vectors returned by Cramer's rule are given by the linear map `cramer`,

mathlib commit https://github.com/leanprover-community/mathlib/commit/246f6f7989ff86bd07e1b014846f11304f33cf9e

@@ -70,6 +70,7 @@ section Cramer
 
 variable (A : Matrix n n α) (b : n → α)
 
+#print Matrix.cramerMap /-
 /-- `cramer_map A b i` is the determinant of the matrix `A` with column `i` replaced with `b`,
   and thus `cramer_map A b` is the vector output by Cramer's rule on `A` and `b`.
 
@@ -79,19 +80,25 @@ variable (A : Matrix n n α) (b : n → α)
 def cramerMap (i : n) : α :=
   (A.updateColumn i b).det
 #align matrix.cramer_map Matrix.cramerMap
+-/
 
+#print Matrix.cramerMap_is_linear /-
 theorem cramerMap_is_linear (i : n) : IsLinearMap α fun b => cramerMap A b i :=
   { map_add := det_updateColumn_add _ _
     map_smul := det_updateColumn_smul _ _ }
 #align matrix.cramer_map_is_linear Matrix.cramerMap_is_linear
+-/
 
+#print Matrix.cramer_is_linear /-
 theorem cramer_is_linear : IsLinearMap α (cramerMap A) :=
   by
   constructor <;> intros <;> ext i
   · apply (cramer_map_is_linear A i).1
   · apply (cramer_map_is_linear A i).2
 #align matrix.cramer_is_linear Matrix.cramer_is_linear
+-/
 
+#print Matrix.cramer /-
 /-- `cramer A b i` is the determinant of the matrix `A` with column `i` replaced with `b`,
   and thus `cramer A b` is the vector output by Cramer's rule on `A` and `b`.
 
@@ -101,15 +108,34 @@ theorem cramer_is_linear : IsLinearMap α (cramerMap A) :=
 def cramer (A : Matrix n n α) : (n → α) →ₗ[α] n → α :=
   IsLinearMap.mk' (cramerMap A) (cramer_is_linear A)
 #align matrix.cramer Matrix.cramer
+-/
 
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+Case conversion may be inaccurate. Consider using '#align matrix.cramer_apply Matrix.cramer_applyₓ'. -/
 theorem cramer_apply (i : n) : cramer A b i = (A.updateColumn i b).det :=
   rfl
 #align matrix.cramer_apply Matrix.cramer_apply
 
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+Case conversion may be inaccurate. Consider using '#align matrix.cramer_transpose_apply Matrix.cramer_transpose_applyₓ'. -/
 theorem cramer_transpose_apply (i : n) : cramer Aᵀ b i = (A.updateRow i b).det := by
   rw [cramer_apply, update_column_transpose, det_transpose]
 #align matrix.cramer_transpose_apply Matrix.cramer_transpose_apply
 
+/- warning: matrix.cramer_transpose_row_self -> Matrix.cramer_transpose_row_self is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.cramer_transpose_row_self Matrix.cramer_transpose_row_selfₓ'. -/
 theorem cramer_transpose_row_self (i : n) : Aᵀ.cramer (A i) = Pi.single i A.det :=
   by
   ext j
@@ -124,6 +150,12 @@ theorem cramer_transpose_row_self (i : n) : Aᵀ.cramer (A i) = Pi.single i A.de
     rw [update_row_self, update_row_ne (Ne.symm h)]
 #align matrix.cramer_transpose_row_self Matrix.cramer_transpose_row_self
 
+/- warning: matrix.cramer_row_self -> Matrix.cramer_row_self is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.cramer_row_self Matrix.cramer_row_selfₓ'. -/
 theorem cramer_row_self (i : n) (h : ∀ j, b j = A j i) : A.cramer b = Pi.single i A.det :=
   by
   rw [← transpose_transpose A, det_transpose]
@@ -131,6 +163,12 @@ theorem cramer_row_self (i : n) (h : ∀ j, b j = A j i) : A.cramer b = Pi.singl
   exact funext h
 #align matrix.cramer_row_self Matrix.cramer_row_self
 
+/- warning: matrix.cramer_one -> Matrix.cramer_one is a dubious translation:
+lean 3 declaration is
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α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (OfNat.ofNat.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 1 (OfNat.mk.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 1 (One.one.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Matrix.hasOne.{u2, u1} n α (fun (a : n) (b : n) => _inst_1 a b) (MulZeroClass.toHasZero.{u2} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (AddMonoidWithOne.toOne.{u2} α (AddGroupWithOne.toAddMonoidWithOne.{u2} α (AddCommGroupWithOne.toAddGroupWithOne.{u2} α (Ring.toAddCommGroupWithOne.{u2} α (CommRing.toRing.{u2} α _inst_5)))))))))) (OfNat.ofNat.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α 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(Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) 1 (OfNat.mk.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) 1 (One.one.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (LinearMap.module.End.hasOne.{u2, max u1 u2} α (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))))))
+but is expected to have type
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α], Eq.{max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (OfNat.ofNat.{max u1 u2} (Matrix.{u1, u1, u2} n n α) 1 (One.toOfNat1.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Matrix.one.{u2, u1} n α (fun (a : n) (b : n) => _inst_1 a b) (CommMonoidWithZero.toZero.{u2} α (CommSemiring.toCommMonoidWithZero.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))) (NonAssocRing.toOne.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))))) (OfNat.ofNat.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) 1 (One.toOfNat1.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (LinearMap.instOneEnd.{u2, max u1 u2} α (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))))))
+Case conversion may be inaccurate. Consider using '#align matrix.cramer_one Matrix.cramer_oneₓ'. -/
 @[simp]
 theorem cramer_one : cramer (1 : Matrix n n α) = 1 :=
   by
@@ -141,16 +179,34 @@ theorem cramer_one : cramer (1 : Matrix n n α) = 1 :=
     rw [Matrix.one_eq_pi_single, Pi.single_comm]
 #align matrix.cramer_one Matrix.cramer_one
 
+/- warning: matrix.cramer_smul -> Matrix.cramer_smul is a dubious translation:
+lean 3 declaration is
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_inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (SMul.smul.{u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.hasSmul.{u2, u1, u1, u2} n n α α (Mul.toSMul.{u2} α (Distrib.toHasMul.{u2} α (Ring.toDistrib.{u2} α (CommRing.toRing.{u2} α _inst_5))))) r A)) (SMul.smul.{u2, max u1 u2} α (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (LinearMap.hasSmul.{u2, u2, u2, max u1 u2, max u1 u2} α α α (n -> α) (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α 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(CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (RingHom.id.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Ring.toMonoid.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Module.toDistribMulAction.{u2, max u1 u2} α (n -> α) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.Function.module.{u1, u2, u2} n α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Semiring.toModule.{u2} α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Function.smulCommClass.{u1, u2, u2, u2} n α α α (Mul.toSMul.{u2} α (Distrib.toHasMul.{u2} α (Ring.toDistrib.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Mul.toSMul.{u2} α (Distrib.toHasMul.{u2} α (Ring.toDistrib.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (smulCommClass_self.{u2, u2} α α (CommRing.toCommMonoid.{u2} α _inst_5) (Monoid.toMulAction.{u2} α (CommMonoid.toMonoid.{u2} α (CommRing.toCommMonoid.{u2} α _inst_5)))))) (HPow.hPow.{u2, 0, u2} α Nat α (instHPow.{u2, 0} α Nat (Monoid.Pow.{u2} α (Ring.toMonoid.{u2} α (CommRing.toRing.{u2} α _inst_5)))) r (HSub.hSub.{0, 0, 0} Nat Nat Nat (instHSub.{0} Nat Nat.hasSub) (Fintype.card.{u1} n _inst_2) (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A))
+but is expected to have type
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(NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (HSMul.hSMul.{u2, max u1 u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.{u1, u1, u2} n n α) (instHSMul.{u2, max u1 u2} α (Matrix.{u1, u1, u2} n n α) (Matrix.smul.{u2, u1, u1, u2} n n α α (Algebra.toSMul.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) r A)) (HSMul.hSMul.{u2, max u2 u1, max u1 u2} α (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (n -> α) (n -> α) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => _private.Mathlib.RingTheory.Ideal.Operations.0.Ideal.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRing.{u2, u2} α α (CommRing.toCommSemiring.{u2} α _inst_5) _inst_5 (Algebra.id.{u2} α (CommRing.toCommSemiring.{u2} α _inst_5))))) (instHSMul.{u2, max u1 u2} α (LinearMap.{u2, u2, max u1 u2, max u1 u2} α α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α 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+Case conversion may be inaccurate. Consider using '#align matrix.cramer_smul Matrix.cramer_smulₓ'. -/
 theorem cramer_smul (r : α) (A : Matrix n n α) :
     cramer (r • A) = r ^ (Fintype.card n - 1) • cramer A :=
   LinearMap.ext fun b => funext fun _ => det_updateColumn_smul' _ _ _ _
 #align matrix.cramer_smul Matrix.cramer_smul
 
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_inst_5)))) (RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.cramer.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A) b i) (b i)
+Case conversion may be inaccurate. Consider using '#align matrix.cramer_subsingleton_apply Matrix.cramer_subsingleton_applyₓ'. -/
 @[simp]
 theorem cramer_subsingleton_apply [Subsingleton n] (A : Matrix n n α) (b : n → α) (i : n) :
     cramer A b i = b i := by rw [cramer_apply, det_eq_elem_of_subsingleton _ i, update_column_self]
 #align matrix.cramer_subsingleton_apply Matrix.cramer_subsingleton_apply
 
+/- warning: matrix.cramer_zero -> Matrix.cramer_zero is a dubious translation:
+lean 3 declaration is
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(fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.Adjugate._hyg.274 : n) => α) α (Ring.toSemiring.{u2} α (CommRing.toRing.{u2} α _inst_5)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (fun (i : n) => 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(RingHom.id.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))))
+Case conversion may be inaccurate. Consider using '#align matrix.cramer_zero Matrix.cramer_zeroₓ'. -/
 theorem cramer_zero [Nontrivial n] : cramer (0 : Matrix n n α) = 0 :=
   by
   ext (i j)
@@ -160,12 +216,24 @@ theorem cramer_zero [Nontrivial n] : cramer (0 : Matrix n n α) = 0 :=
   simp [update_column_ne hj']
 #align matrix.cramer_zero Matrix.cramer_zero
 
+/- warning: matrix.sum_cramer -> Matrix.sum_cramer 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 matrix.sum_cramer Matrix.sum_cramerₓ'. -/
 /-- Use linearity of `cramer` to take it out of a summation. -/
 theorem sum_cramer {β} (s : Finset β) (f : β → n → α) :
     (∑ x in s, cramer A (f x)) = cramer A (∑ x in s, f x) :=
   (LinearMap.map_sum (cramer A)).symm
 #align matrix.sum_cramer Matrix.sum_cramer
 
+/- warning: matrix.sum_cramer_apply -> Matrix.sum_cramer_apply is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.sum_cramer_apply Matrix.sum_cramer_applyₓ'. -/
 /-- Use linearity of `cramer` and vector evaluation to take `cramer A _ i` out of a summation. -/
 theorem sum_cramer_apply {β} (s : Finset β) (f : n → β → α) (i : n) :
     (∑ x in s, cramer A (fun j => f j x) i) = cramer A (fun j : n => ∑ x in s, f j x) i :=
@@ -180,6 +248,12 @@ theorem sum_cramer_apply {β} (s : Finset β) (f : n → β → α) (i : n) :
     
 #align matrix.sum_cramer_apply Matrix.sum_cramer_apply
 
+/- warning: matrix.cramer_submatrix_equiv -> Matrix.cramer_submatrix_equiv is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.cramer_submatrix_equiv Matrix.cramer_submatrix_equivₓ'. -/
 theorem cramer_submatrix_equiv (A : Matrix m m α) (e : n ≃ m) (b : n → α) :
     cramer (A.submatrix e e) b = cramer A (b ∘ e.symm) ∘ e :=
   by
@@ -188,6 +262,12 @@ theorem cramer_submatrix_equiv (A : Matrix m m α) (e : n ≃ m) (b : n → α)
     det_submatrix_equiv_self e]
 #align matrix.cramer_submatrix_equiv Matrix.cramer_submatrix_equiv
 
+/- warning: matrix.cramer_reindex -> Matrix.cramer_reindex is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.cramer_reindex Matrix.cramer_reindexₓ'. -/
 theorem cramer_reindex (e : m ≃ n) (A : Matrix m m α) (b : n → α) :
     cramer (reindex e e A) b = cramer A (b ∘ e) ∘ e.symm :=
   cramer_submatrix_equiv _ _ _
@@ -205,6 +285,7 @@ These will hold for any matrix over a commutative ring.
 -/
 
 
+#print Matrix.adjugate /-
 /-- The adjugate matrix is the transpose of the cofactor matrix.
 
   Typically, the cofactor matrix is defined by taking minors,
@@ -216,16 +297,26 @@ These will hold for any matrix over a commutative ring.
 def adjugate (A : Matrix n n α) : Matrix n n α :=
   of fun i => cramer Aᵀ (Pi.single i 1)
 #align matrix.adjugate Matrix.adjugate
+-/
 
+#print Matrix.adjugate_def /-
 theorem adjugate_def (A : Matrix n n α) : adjugate A = of fun i => cramer Aᵀ (Pi.single i 1) :=
   rfl
 #align matrix.adjugate_def Matrix.adjugate_def
+-/
 
+/- warning: matrix.adjugate_apply -> Matrix.adjugate_apply is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.adjugate_apply Matrix.adjugate_applyₓ'. -/
 theorem adjugate_apply (A : Matrix n n α) (i j : n) :
     adjugate A i j = (A.updateRow j (Pi.single i 1)).det := by
   rw [adjugate_def, of_apply, cramer_apply, update_column_transpose, det_transpose]
 #align matrix.adjugate_apply Matrix.adjugate_apply
 
+#print Matrix.adjugate_transpose /-
 theorem adjugate_transpose (A : Matrix n n α) : (adjugate A)ᵀ = adjugate Aᵀ :=
   by
   ext (i j)
@@ -256,7 +347,9 @@ theorem adjugate_transpose (A : Matrix n n α) : (adjugate A)ᵀ = adjugate Aᵀ
     intro h'
     exact h ((symm_apply_eq σ).mp h')
 #align matrix.adjugate_transpose Matrix.adjugate_transpose
+-/
 
+#print Matrix.adjugate_submatrix_equiv_self /-
 @[simp]
 theorem adjugate_submatrix_equiv_self (e : n ≃ m) (A : Matrix m m α) :
     adjugate (A.submatrix e e) = (adjugate A).submatrix e e :=
@@ -267,12 +360,21 @@ theorem adjugate_submatrix_equiv_self (e : n ≃ m) (A : Matrix m m α) :
   congr
   exact Function.update_comp_equiv _ e.symm _ _
 #align matrix.adjugate_submatrix_equiv_self Matrix.adjugate_submatrix_equiv_self
+-/
 
+#print Matrix.adjugate_reindex /-
 theorem adjugate_reindex (e : m ≃ n) (A : Matrix m m α) :
     adjugate (reindex e e A) = reindex e e (adjugate A) :=
   adjugate_submatrix_equiv_self _ _
 #align matrix.adjugate_reindex Matrix.adjugate_reindex
+-/
 
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+Case conversion may be inaccurate. Consider using '#align matrix.cramer_eq_adjugate_mul_vec Matrix.cramer_eq_adjugate_mulVecₓ'. -/
 /-- Since the map `b ↦ cramer A b` is linear in `b`, it must be multiplication by some matrix. This
 matrix is `A.adjugate`. -/
 theorem cramer_eq_adjugate_mulVec (A : Matrix n n α) (b : n → α) :
@@ -290,12 +392,24 @@ theorem cramer_eq_adjugate_mulVec (A : Matrix n n α) (b : n → α) :
   simp [mul_vec, dot_product, mul_comm]
 #align matrix.cramer_eq_adjugate_mul_vec Matrix.cramer_eq_adjugate_mulVec
 
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+Case conversion may be inaccurate. Consider using '#align matrix.mul_adjugate_apply Matrix.mul_adjugate_applyₓ'. -/
 theorem mul_adjugate_apply (A : Matrix n n α) (i j k) :
     A i k * adjugate A k j = cramer Aᵀ (Pi.single k (A i k)) j := by
   erw [← smul_eq_mul, ← Pi.smul_apply, ← LinearMap.map_smul, ← Pi.single_smul', smul_eq_mul,
     mul_one]
 #align matrix.mul_adjugate_apply Matrix.mul_adjugate_apply
 
+/- warning: matrix.mul_adjugate -> Matrix.mul_adjugate is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.mul_adjugate Matrix.mul_adjugateₓ'. -/
 theorem mul_adjugate (A : Matrix n n α) : A ⬝ adjugate A = A.det • 1 :=
   by
   ext (i j)
@@ -303,6 +417,12 @@ theorem mul_adjugate (A : Matrix n n α) : A ⬝ adjugate A = A.det • 1 :=
   simp [mul_adjugate_apply, sum_cramer_apply, cramer_transpose_row_self, Pi.single_apply, eq_comm]
 #align matrix.mul_adjugate Matrix.mul_adjugate
 
+/- warning: matrix.adjugate_mul -> Matrix.adjugate_mul is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.adjugate_mul Matrix.adjugate_mulₓ'. -/
 theorem adjugate_mul (A : Matrix n n α) : adjugate A ⬝ A = A.det • 1 :=
   calc
     adjugate A ⬝ A = (Aᵀ ⬝ adjugate Aᵀ)ᵀ := by
@@ -311,6 +431,12 @@ theorem adjugate_mul (A : Matrix n n α) : adjugate A ⬝ A = A.det • 1 :=
     
 #align matrix.adjugate_mul Matrix.adjugate_mul
 
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+Case conversion may be inaccurate. Consider using '#align matrix.adjugate_smul Matrix.adjugate_smulₓ'. -/
 theorem adjugate_smul (r : α) (A : Matrix n n α) :
     adjugate (r • A) = r ^ (Fintype.card n - 1) • adjugate A :=
   by
@@ -318,6 +444,12 @@ theorem adjugate_smul (r : α) (A : Matrix n n α) :
   rfl
 #align matrix.adjugate_smul Matrix.adjugate_smul
 
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+Case conversion may be inaccurate. Consider using '#align matrix.mul_vec_cramer Matrix.mulVec_cramerₓ'. -/
 /-- A stronger form of **Cramer's rule** that allows us to solve some instances of `A ⬝ x = b` even
 if the determinant is not a unit. A sufficient (but still not necessary) condition is that `A.det`
 divides `b`. -/
@@ -326,18 +458,36 @@ theorem mulVec_cramer (A : Matrix n n α) (b : n → α) : A.mulVec (cramer A b)
   rw [cramer_eq_adjugate_mul_vec, mul_vec_mul_vec, mul_adjugate, smul_mul_vec_assoc, one_mul_vec]
 #align matrix.mul_vec_cramer Matrix.mulVec_cramer
 
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 theorem adjugate_subsingleton [Subsingleton n] (A : Matrix n n α) : adjugate A = 1 :=
   by
   ext (i j)
   simp [Subsingleton.elim i j, adjugate_apply, det_eq_elem_of_subsingleton _ i]
 #align matrix.adjugate_subsingleton Matrix.adjugate_subsingleton
 
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+Case conversion may be inaccurate. Consider using '#align matrix.adjugate_eq_one_of_card_eq_one Matrix.adjugate_eq_one_of_card_eq_oneₓ'. -/
 theorem adjugate_eq_one_of_card_eq_one {A : Matrix n n α} (h : Fintype.card n = 1) :
     adjugate A = 1 :=
   haveI : Subsingleton n := fintype.card_le_one_iff_subsingleton.mp h.le
   adjugate_subsingleton _
 #align matrix.adjugate_eq_one_of_card_eq_one Matrix.adjugate_eq_one_of_card_eq_one
 
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+Case conversion may be inaccurate. Consider using '#align matrix.adjugate_zero Matrix.adjugate_zeroₓ'. -/
 @[simp]
 theorem adjugate_zero [Nontrivial n] : adjugate (0 : Matrix n n α) = 0 :=
   by
@@ -348,6 +498,12 @@ theorem adjugate_zero [Nontrivial n] : adjugate (0 : Matrix n n α) = 0 :=
   simp [update_column_ne hj']
 #align matrix.adjugate_zero Matrix.adjugate_zero
 
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 @[simp]
 theorem adjugate_one : adjugate (1 : Matrix n n α) = 1 :=
   by
@@ -355,6 +511,12 @@ theorem adjugate_one : adjugate (1 : Matrix n n α) = 1 :=
   simp [adjugate_def, Matrix.one_apply, Pi.single_apply, eq_comm]
 #align matrix.adjugate_one Matrix.adjugate_one
 
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+Case conversion may be inaccurate. Consider using '#align matrix.adjugate_diagonal Matrix.adjugate_diagonalₓ'. -/
 @[simp]
 theorem adjugate_diagonal (v : n → α) :
     adjugate (diagonal v) = diagonal fun i => ∏ j in Finset.univ.eraseₓ i, v j :=
@@ -372,6 +534,12 @@ theorem adjugate_diagonal (v : n → α) :
     · rw [update_column_ne hjk, diagonal_apply_ne' _ hjk]
 #align matrix.adjugate_diagonal Matrix.adjugate_diagonal
 
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+Case conversion may be inaccurate. Consider using '#align ring_hom.map_adjugate RingHom.map_adjugateₓ'. -/
 theorem RingHom.map_adjugate {R S : Type _} [CommRing R] [CommRing S] (f : R →+* S)
     (M : Matrix n n R) : f.mapMatrix M.adjugate = Matrix.adjugate (f.mapMatrix M) :=
   by
@@ -384,12 +552,24 @@ theorem RingHom.map_adjugate {R S : Type _} [CommRing R] [CommRing S] (f : R →
     map_update_row, ← RingHom.mapMatrix_apply, ← RingHom.map_det, ← adjugate_apply]
 #align ring_hom.map_adjugate RingHom.map_adjugate
 
+/- warning: alg_hom.map_adjugate -> AlgHom.map_adjugate is a dubious translation:
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u1 u4} R (Matrix.{u4, u4, u1} n n B) (AddMonoid.toAddZeroClass.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (AddCommMonoid.toAddMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))))) (DistribMulAction.toDistribSMul.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (AddCommMonoid.toAddMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))))) (Module.toDistribMulAction.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_10)))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u2 u1) u4, u3, max u2 u4, max u1 u4} (AlgHom.{u3, max u2 u4, max u1 u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_10)) R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (AddCommMonoid.toAddMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))))) (AddCommMonoid.toAddMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))))) (Module.toDistribMulAction.{u3, max 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u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_10))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u2 u1) u4, u3, max u2 u4, max u1 u4} (AlgHom.{u3, max u2 u4, max u1 u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_10)) R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))) (Module.toDistribMulAction.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) _inst_6 (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_9))) (Module.toDistribMulAction.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_10))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, max u2 u4, max u1 u4, max (max u2 u1) u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_10) (AlgHom.{u3, max u2 u4, max u1 u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_10)) (AlgHom.algHomClass.{u3, max u2 u4, max u1 u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_10)))))) (AlgHom.mapMatrix.{u2, u1, u4, u3} n R A B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_9 _inst_10 f) (Matrix.adjugate.{u4, u2} n A (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_7 M)) (Matrix.adjugate.{u4, u1} n B (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_8 (FunLike.coe.{max (max (succ u2) (succ u1)) (succ u4), max (succ u2) (succ u4), max (succ u1) (succ u4)} (AlgHom.{u3, max u2 u4, max u1 u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_10)) (Matrix.{u4, u4, u2} n n A) (fun (_x : Matrix.{u4, u4, u2} n n A) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Matrix.{u4, u4, u2} n n A) => Matrix.{u4, u4, u1} n n B) _x) (SMulHomClass.toFunLike.{max (max u2 u1) u4, u3, max u2 u4, max u1 u4} (AlgHom.{u3, max u2 u4, max u1 u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_10)) R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) (SMulZeroClass.toSMul.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) (AddMonoid.toZero.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (AddCommMonoid.toAddMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))))) (DistribSMul.toSMulZeroClass.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) (AddMonoid.toAddZeroClass.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (AddCommMonoid.toAddMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))))) (DistribMulAction.toDistribSMul.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (AddCommMonoid.toAddMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))))) (Module.toDistribMulAction.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) _inst_6 (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_9)))))) (SMulZeroClass.toSMul.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (AddMonoid.toZero.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (AddCommMonoid.toAddMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))))) (DistribSMul.toSMulZeroClass.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (AddMonoid.toAddZeroClass.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (AddCommMonoid.toAddMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))))) (DistribMulAction.toDistribSMul.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (AddCommMonoid.toAddMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))))) (Module.toDistribMulAction.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_10)))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u2 u1) u4, u3, max u2 u4, max u1 u4} (AlgHom.{u3, max u2 u4, max u1 u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_10)) R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (AddCommMonoid.toAddMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))))) (AddCommMonoid.toAddMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))))) (Module.toDistribMulAction.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) _inst_6 (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_9))) (Module.toDistribMulAction.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_10))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u2 u1) u4, u3, max u2 u4, max u1 u4} (AlgHom.{u3, max u2 u4, max u1 u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_10)) R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_6))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)))) (Module.toDistribMulAction.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Semiring.toNonAssocSemiring.{max u2 u4} (Matrix.{u4, u4, u2} n n A) (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u2 u4} R (Matrix.{u4, u4, u2} n n A) _inst_6 (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_9))) (Module.toDistribMulAction.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) (CommSemiring.toSemiring.{u3} R _inst_6) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Semiring.toNonAssocSemiring.{max u1 u4} (Matrix.{u4, u4, u1} n n B) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b))))) (Algebra.toModule.{u3, max u1 u4} R (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_10))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, max u2 u4, max u1 u4, max (max u2 u1) u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_10) (AlgHom.{u3, max u2 u4, max u1 u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.semiring.{u1, u4} n B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Matrix.instAlgebraMatrixSemiring.{u2, u4, u3} n R A _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_9) (Matrix.instAlgebraMatrixSemiring.{u1, u4, u3} n R B _inst_2 (fun (a : n) (b : n) => _inst_1 a b) _inst_6 (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_8)) _inst_10)) (AlgHom.algHomClass.{u3, max u2 u4, max u1 u4} R (Matrix.{u4, u4, u2} n n A) (Matrix.{u4, u4, u1} n n B) _inst_6 (Matrix.semiring.{u2, u4} n A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_7)) _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) 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+Case conversion may be inaccurate. Consider using '#align alg_hom.map_adjugate AlgHom.map_adjugateₓ'. -/
 theorem AlgHom.map_adjugate {R A B : Type _} [CommSemiring R] [CommRing A] [CommRing B]
     [Algebra R A] [Algebra R B] (f : A →ₐ[R] B) (M : Matrix n n A) :
     f.mapMatrix M.adjugate = Matrix.adjugate (f.mapMatrix M) :=
   f.toRingHom.map_adjugate _
 #align alg_hom.map_adjugate AlgHom.map_adjugate
 
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+Case conversion may be inaccurate. Consider using '#align matrix.det_adjugate Matrix.det_adjugateₓ'. -/
 theorem det_adjugate (A : Matrix n n α) : (adjugate A).det = A.det ^ (Fintype.card n - 1) :=
   by
   -- get rid of the `- 1`
@@ -411,16 +591,34 @@ theorem det_adjugate (A : Matrix n n α) : (adjugate A).det = A.det ^ (Fintype.c
     
 #align matrix.det_adjugate Matrix.det_adjugate
 
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+Case conversion may be inaccurate. Consider using '#align matrix.adjugate_fin_zero Matrix.adjugate_fin_zeroₓ'. -/
 @[simp]
 theorem adjugate_fin_zero (A : Matrix (Fin 0) (Fin 0) α) : adjugate A = 0 :=
   Subsingleton.elim _ _
 #align matrix.adjugate_fin_zero Matrix.adjugate_fin_zero
 
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 @[simp]
 theorem adjugate_fin_one (A : Matrix (Fin 1) (Fin 1) α) : adjugate A = 1 :=
   adjugate_subsingleton A
 #align matrix.adjugate_fin_one Matrix.adjugate_fin_one
 
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+Case conversion may be inaccurate. Consider using '#align matrix.adjugate_fin_two Matrix.adjugate_fin_twoₓ'. -/
 theorem adjugate_fin_two (A : Matrix (Fin 2) (Fin 2) α) :
     adjugate A = !![A 1 1, -A 0 1; -A 1 0, A 0 0] :=
   by
@@ -436,18 +634,28 @@ theorem adjugate_fin_two (A : Matrix (Fin 2) (Fin 2) α) :
       cons_val_zero, head_cons, mul_one]
 #align matrix.adjugate_fin_two Matrix.adjugate_fin_two
 
+#print Matrix.adjugate_fin_two_of /-
 @[simp]
 theorem adjugate_fin_two_of (a b c d : α) : adjugate !![a, b; c, d] = !![d, -b; -c, a] :=
   adjugate_fin_two _
 #align matrix.adjugate_fin_two_of Matrix.adjugate_fin_two_of
+-/
 
+#print Matrix.adjugate_conjTranspose /-
 theorem adjugate_conjTranspose [StarRing α] (A : Matrix n n α) : A.adjugateᴴ = adjugate Aᴴ :=
   by
   dsimp only [conj_transpose]
   have : Aᵀ.adjugate.map star = adjugate (Aᵀ.map star) := (starRingEnd α).map_adjugate Aᵀ
   rw [A.adjugate_transpose, this]
 #align matrix.adjugate_conj_transpose Matrix.adjugate_conjTranspose
+-/
 
+/- warning: matrix.is_regular_of_is_left_regular_det -> Matrix.isRegular_of_isLeftRegular_det is a dubious translation:
+lean 3 declaration is
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] {A : Matrix.{u1, u1, u2} n n α}, (IsLeftRegular.{u2} α (Distrib.toHasMul.{u2} α (Ring.toDistrib.{u2} α (CommRing.toRing.{u2} α _inst_5))) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A)) -> (IsRegular.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Matrix.hasMul.{u2, u1} n α _inst_2 (Distrib.toHasMul.{u2} α (Ring.toDistrib.{u2} α (CommRing.toRing.{u2} α _inst_5))) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) A)
+but is expected to have type
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] {A : Matrix.{u1, u1, u2} n n α}, (IsLeftRegular.{u2} α (NonUnitalNonAssocRing.toMul.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A)) -> (IsRegular.{max u1 u2} (Matrix.{u1, u1, u2} n n α) (Matrix.instMulMatrix.{u2, u1} n α _inst_2 (NonUnitalNonAssocRing.toMul.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5)))))) A)
+Case conversion may be inaccurate. Consider using '#align matrix.is_regular_of_is_left_regular_det Matrix.isRegular_of_isLeftRegular_detₓ'. -/
 theorem isRegular_of_isLeftRegular_det {A : Matrix n n α} (hA : IsLeftRegular A.det) :
     IsRegular A := by
   constructor
@@ -462,6 +670,12 @@ theorem isRegular_of_isLeftRegular_det {A : Matrix n n α} (hA : IsLeftRegular A
       mul_adjugate, ← Matrix.mul_assoc, ← Matrix.mul_assoc, h]
 #align matrix.is_regular_of_is_left_regular_det Matrix.isRegular_of_isLeftRegular_det
 
+/- warning: matrix.adjugate_mul_distrib_aux -> Matrix.adjugate_mul_distrib_aux is a dubious translation:
+lean 3 declaration is
+  forall {n : Type.{u1}} {α : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] [_inst_5 : CommRing.{u2} α] (A : Matrix.{u1, u1, u2} n n α) (B : Matrix.{u1, u1, u2} n n α), (IsLeftRegular.{u2} α (Distrib.toHasMul.{u2} α (Ring.toDistrib.{u2} α (CommRing.toRing.{u2} α _inst_5))) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 A)) -> (IsLeftRegular.{u2} α (Distrib.toHasMul.{u2} α (Ring.toDistrib.{u2} α (CommRing.toRing.{u2} α _inst_5))) (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 α _inst_5 B)) -> (Eq.{succ (max u1 u2)} (Matrix.{u1, u1, u2} n n α) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 (Matrix.mul.{u2, u1, u1, u1} n n n α _inst_2 (Distrib.toHasMul.{u2} α (Ring.toDistrib.{u2} α (CommRing.toRing.{u2} α _inst_5))) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) A B)) (Matrix.mul.{u2, u1, u1, u1} n n n α _inst_2 (Distrib.toHasMul.{u2} α (Ring.toDistrib.{u2} α (CommRing.toRing.{u2} α _inst_5))) (AddCommGroup.toAddCommMonoid.{u2} α (NonUnitalNonAssocRing.toAddCommGroup.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (CommRing.toRing.{u2} α _inst_5))))) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 B) (Matrix.adjugate.{u1, u2} n α (fun (a : n) (b : n) => _inst_1 a b) _inst_2 _inst_5 A)))
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align matrix.adjugate_mul_distrib_aux Matrix.adjugate_mul_distrib_auxₓ'. -/
 theorem adjugate_mul_distrib_aux (A B : Matrix n n α) (hA : IsLeftRegular A.det)
     (hB : IsLeftRegular B.det) : adjugate (A ⬝ B) = adjugate B ⬝ adjugate A :=
   by
@@ -473,6 +687,12 @@ theorem adjugate_mul_distrib_aux (A B : Matrix n n α) (hA : IsLeftRegular A.det
     smul_mul, Matrix.one_mul, mul_smul, mul_adjugate, smul_smul, mul_comm, ← det_mul]
 #align matrix.adjugate_mul_distrib_aux Matrix.adjugate_mul_distrib_aux
 
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+Case conversion may be inaccurate. Consider using '#align matrix.adjugate_mul_distrib Matrix.adjugate_mul_distribₓ'. -/
 /-- Proof follows from "The trace Cayley-Hamilton theorem" by Darij Grinberg, Section 5.3
 -/
 theorem adjugate_mul_distrib (A B : Matrix n n α) : adjugate (A ⬝ B) = adjugate B ⬝ adjugate A :=
@@ -501,6 +721,12 @@ theorem adjugate_mul_distrib (A B : Matrix n n α) : adjugate (A ⬝ B) = adjuga
     RingHom.map_adjugate, f'_inv, f'_g_mul]
 #align matrix.adjugate_mul_distrib Matrix.adjugate_mul_distrib
 
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 @[simp]
 theorem adjugate_pow (A : Matrix n n α) (k : ℕ) : adjugate (A ^ k) = adjugate A ^ k :=
   by
@@ -509,6 +735,12 @@ theorem adjugate_pow (A : Matrix n n α) (k : ℕ) : adjugate (A ^ k) = adjugate
   · rw [pow_succ', mul_eq_mul, adjugate_mul_distrib, IH, ← mul_eq_mul, pow_succ]
 #align matrix.adjugate_pow Matrix.adjugate_pow
 
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+Case conversion may be inaccurate. Consider using '#align matrix.det_smul_adjugate_adjugate Matrix.det_smul_adjugate_adjugateₓ'. -/
 theorem det_smul_adjugate_adjugate (A : Matrix n n α) :
     det A • adjugate (adjugate A) = det A ^ (Fintype.card n - 1) • A :=
   by
@@ -518,6 +750,12 @@ theorem det_smul_adjugate_adjugate (A : Matrix n n α) :
     Matrix.one_mul] at this
 #align matrix.det_smul_adjugate_adjugate Matrix.det_smul_adjugate_adjugate
 
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+Case conversion may be inaccurate. Consider using '#align matrix.adjugate_adjugate Matrix.adjugate_adjugateₓ'. -/
 /-- Note that this is not true for `fintype.card n = 1` since `1 - 2 = 0` and not `-1`. -/
 theorem adjugate_adjugate (A : Matrix n n α) (h : Fintype.card n ≠ 1) :
     adjugate (adjugate A) = det A ^ (Fintype.card n - 2) • A :=
@@ -543,6 +781,12 @@ theorem adjugate_adjugate (A : Matrix n n α) (h : Fintype.card n ≠ 1) :
   rw [smul_smul, ← pow_succ, h_card', det_smul_adjugate_adjugate]
 #align matrix.adjugate_adjugate Matrix.adjugate_adjugate
 
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+Case conversion may be inaccurate. Consider using '#align matrix.adjugate_adjugate' Matrix.adjugate_adjugate'ₓ'. -/
 /-- A weaker version of `matrix.adjugate_adjugate` that uses `nontrivial`. -/
 theorem adjugate_adjugate' (A : Matrix n n α) [Nontrivial n] :
     adjugate (adjugate A) = det A ^ (Fintype.card n - 2) • A :=

mathlib commit https://github.com/leanprover-community/mathlib/commit/730c6d4cab72b9d84fcfb9e95e8796e9cd8f40ba

@@ -495,7 +495,7 @@ theorem adjugate_mul_distrib (A B : Matrix n n α) : adjugate (A ⬝ B) = adjuga
     by
     intro M
     refine' Polynomial.Monic.isRegular _
-    simp only [g, Polynomial.Monic.def, ← Polynomial.leadingCoeff_det_x_one_add_c M, add_comm]
+    simp only [g, Polynomial.Monic.def, ← Polynomial.leadingCoeff_det_X_one_add_C M, add_comm]
   rw [← f'_adj, ← f'_adj, ← f'_adj, ← mul_eq_mul (f' (adjugate (g B))), ← f'.map_mul, mul_eq_mul, ←
     adjugate_mul_distrib_aux _ _ (hu A).left (hu B).left, RingHom.map_adjugate,
     RingHom.map_adjugate, f'_inv, f'_g_mul]

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

@@ -421,7 +421,6 @@ theorem adjugate_fin_one (A : Matrix (Fin 1) (Fin 1) α) : adjugate A = 1 :=
   adjugate_subsingleton A
 #align matrix.adjugate_fin_one Matrix.adjugate_fin_one
 
-/- ./././Mathport/Syntax/Translate/Tactic/Basic.lean:31:4: unsupported: too many args: matrix.notation ... #[[]] -/
 theorem adjugate_fin_two (A : Matrix (Fin 2) (Fin 2) α) :
     adjugate A = !![A 1 1, -A 0 1; -A 1 0, A 0 0] :=
   by
@@ -437,8 +436,6 @@ theorem adjugate_fin_two (A : Matrix (Fin 2) (Fin 2) α) :
       cons_val_zero, head_cons, mul_one]
 #align matrix.adjugate_fin_two Matrix.adjugate_fin_two
 
-/- ./././Mathport/Syntax/Translate/Tactic/Basic.lean:31:4: unsupported: too many args: matrix.notation ... #[[]] -/
-/- ./././Mathport/Syntax/Translate/Tactic/Basic.lean:31:4: unsupported: too many args: matrix.notation ... #[[]] -/
 @[simp]
 theorem adjugate_fin_two_of (a b c d : α) : adjugate !![a, b; c, d] = !![d, -b; -c, a] :=
   adjugate_fin_two _

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

@@ -421,12 +421,9 @@ theorem adjugate_fin_one (A : Matrix (Fin 1) (Fin 1) α) : adjugate A = 1 :=
   adjugate_subsingleton A
 #align matrix.adjugate_fin_one Matrix.adjugate_fin_one
 
-/- ./././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 adjugate_fin_two (A : Matrix (Fin 2) (Fin 2) α) :
-    adjugate A =
-      «expr!![ »
-        "./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation" :=
+    adjugate A = !![A 1 1, -A 0 1; -A 1 0, A 0 0] :=
   by
   ext (i j)
   rw [adjugate_apply, det_fin_two]
@@ -440,17 +437,10 @@ theorem adjugate_fin_two (A : Matrix (Fin 2) (Fin 2) α) :
       cons_val_zero, head_cons, mul_one]
 #align matrix.adjugate_fin_two Matrix.adjugate_fin_two
 
-/- ./././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/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 ... #[[]] -/
+/- ./././Mathport/Syntax/Translate/Tactic/Basic.lean:31:4: unsupported: too many args: matrix.notation ... #[[]] -/
 @[simp]
-theorem adjugate_fin_two_of (a b c d : α) :
-    adjugate
-        («expr!![ »
-          "./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation") =
-      «expr!![ »
-        "./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation" :=
+theorem adjugate_fin_two_of (a b c d : α) : adjugate !![a, b; c, d] = !![d, -b; -c, a] :=
   adjugate_fin_two _
 #align matrix.adjugate_fin_two_of Matrix.adjugate_fin_two_of
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/0e2aab2b0d521f060f62a14d2cf2e2c54e8491d6

@@ -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.adjugate
-! leanprover-community/mathlib commit 55102fc1d7145d8453f6d35c56d0af6f669f7d12
+! leanprover-community/mathlib commit 0e2aab2b0d521f060f62a14d2cf2e2c54e8491d6
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -47,9 +47,11 @@ cramer, cramer's rule, adjugate
 
 namespace Matrix
 
-universe u v
+universe u v w
 
-variable {n : Type u} [DecidableEq n] [Fintype n] {α : Type v} [CommRing α]
+variable {m : Type u} {n : Type v} {α : Type w}
+
+variable [DecidableEq n] [Fintype n] [DecidableEq m] [Fintype m] [CommRing α]
 
 open Matrix BigOperators Polynomial
 
@@ -115,7 +117,7 @@ theorem cramer_transpose_row_self (i : n) : Aᵀ.cramer (A i) = Pi.single i A.de
   split_ifs with h
   · -- i = j: this entry should be `A.det`
     subst h
-    simp only [update_column_transpose, det_transpose, update_row, Function.update_eq_self]
+    simp only [update_column_transpose, det_transpose, update_row_eq_self]
   · -- i ≠ j: this entry should be 0
     rw [update_column_transpose, det_transpose]
     apply det_zero_of_row_eq h
@@ -178,6 +180,19 @@ theorem sum_cramer_apply {β} (s : Finset β) (f : n → β → α) (i : n) :
     
 #align matrix.sum_cramer_apply Matrix.sum_cramer_apply
 
+theorem cramer_submatrix_equiv (A : Matrix m m α) (e : n ≃ m) (b : n → α) :
+    cramer (A.submatrix e e) b = cramer A (b ∘ e.symm) ∘ e :=
+  by
+  ext i
+  simp_rw [Function.comp_apply, cramer_apply, update_column_submatrix_equiv,
+    det_submatrix_equiv_self e]
+#align matrix.cramer_submatrix_equiv Matrix.cramer_submatrix_equiv
+
+theorem cramer_reindex (e : m ≃ n) (A : Matrix m m α) (b : n → α) :
+    cramer (reindex e e A) b = cramer A (b ∘ e) ∘ e.symm :=
+  cramer_submatrix_equiv _ _ _
+#align matrix.cramer_reindex Matrix.cramer_reindex
+
 end Cramer
 
 section Adjugate
@@ -242,6 +257,22 @@ theorem adjugate_transpose (A : Matrix n n α) : (adjugate A)ᵀ = adjugate Aᵀ
     exact h ((symm_apply_eq σ).mp h')
 #align matrix.adjugate_transpose Matrix.adjugate_transpose
 
+@[simp]
+theorem adjugate_submatrix_equiv_self (e : n ≃ m) (A : Matrix m m α) :
+    adjugate (A.submatrix e e) = (adjugate A).submatrix e e :=
+  by
+  ext (i j)
+  rw [adjugate_apply, submatrix_apply, adjugate_apply, ← det_submatrix_equiv_self e,
+    update_row_submatrix_equiv]
+  congr
+  exact Function.update_comp_equiv _ e.symm _ _
+#align matrix.adjugate_submatrix_equiv_self Matrix.adjugate_submatrix_equiv_self
+
+theorem adjugate_reindex (e : m ≃ n) (A : Matrix m m α) :
+    adjugate (reindex e e A) = reindex e e (adjugate A) :=
+  adjugate_submatrix_equiv_self _ _
+#align matrix.adjugate_reindex Matrix.adjugate_reindex
+
 /-- Since the map `b ↦ cramer A b` is linear in `b`, it must be multiplication by some matrix. This
 matrix is `A.adjugate`. -/
 theorem cramer_eq_adjugate_mulVec (A : Matrix n n α) (b : n → α) :

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

@@ -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.adjugate
-! leanprover-community/mathlib commit 0bd2ea37bcba5769e14866170f251c9bc64e35d7
+! leanprover-community/mathlib commit 55102fc1d7145d8453f6d35c56d0af6f669f7d12
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -198,19 +198,17 @@ These will hold for any matrix over a commutative ring.
   matrix replacing a column with a basis vector, since it allows us to use
   facts about the `cramer` map.
 -/
-def adjugate (A : Matrix n n α) : Matrix n n α := fun i => cramer Aᵀ (Pi.single i 1)
+def adjugate (A : Matrix n n α) : Matrix n n α :=
+  of fun i => cramer Aᵀ (Pi.single i 1)
 #align matrix.adjugate Matrix.adjugate
 
-theorem adjugate_def (A : Matrix n n α) : adjugate A = fun i => cramer Aᵀ (Pi.single i 1) :=
+theorem adjugate_def (A : Matrix n n α) : adjugate A = of fun i => cramer Aᵀ (Pi.single i 1) :=
   rfl
 #align matrix.adjugate_def Matrix.adjugate_def
 
 theorem adjugate_apply (A : Matrix n n α) (i j : n) :
-    adjugate A i j = (A.updateRow j (Pi.single i 1)).det :=
-  by
-  rw [adjugate_def]
-  simp only
-  rw [cramer_apply, update_column_transpose, det_transpose]
+    adjugate A i j = (A.updateRow j (Pi.single i 1)).det := by
+  rw [adjugate_def, of_apply, cramer_apply, update_column_transpose, det_transpose]
 #align matrix.adjugate_apply Matrix.adjugate_apply
 
 theorem adjugate_transpose (A : Matrix n n α) : (adjugate A)ᵀ = adjugate Aᵀ :=
@@ -331,7 +329,7 @@ theorem adjugate_diagonal (v : n → α) :
     adjugate (diagonal v) = diagonal fun i => ∏ j in Finset.univ.eraseₓ i, v j :=
   by
   ext
-  simp only [adjugate_def, cramer_apply, diagonal_transpose]
+  simp only [adjugate_def, cramer_apply, diagonal_transpose, of_apply]
   obtain rfl | hij := eq_or_ne i j
   ·
     rw [diagonal_apply_eq, diagonal_update_column_single, det_diagonal,

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

@@ -402,13 +402,13 @@ theorem adjugate_fin_two (A : Matrix (Fin 2) (Fin 2) α) :
   ext (i j)
   rw [adjugate_apply, det_fin_two]
   fin_cases i <;> fin_cases j <;>
-    simp only [one_mul, Fin.one_eq_zero_iff, Pi.single_eq_same, mul_zero, sub_zero,
+    simp only [one_mul, Fin.one_eq_zero_iff, Pi.single_eq_same, MulZeroClass.mul_zero, sub_zero,
       Pi.single_eq_of_ne, Ne.def, not_false_iff, update_row_self, update_row_ne, cons_val_zero,
       of_apply, Nat.succ_succ_ne_one, Pi.single_eq_of_ne, update_row_self, Pi.single_eq_of_ne,
       Ne.def, Fin.zero_eq_one_iff, Nat.succ_succ_ne_one, not_false_iff, update_row_ne,
-      Fin.one_eq_zero_iff, zero_mul, Pi.single_eq_same, one_mul, zero_sub, of_apply, cons_val',
-      cons_val_fin_one, cons_val_one, head_fin_const, neg_inj, eq_self_iff_true, cons_val_zero,
-      head_cons, mul_one]
+      Fin.one_eq_zero_iff, MulZeroClass.zero_mul, Pi.single_eq_same, one_mul, zero_sub, of_apply,
+      cons_val', cons_val_fin_one, cons_val_one, head_fin_const, neg_inj, eq_self_iff_true,
+      cons_val_zero, head_cons, mul_one]
 #align matrix.adjugate_fin_two Matrix.adjugate_fin_two
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:207:4: warning: unsupported notation `«expr!![ » -/

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

@@ -461,7 +461,7 @@ theorem adjugate_mul_distrib_aux (A B : Matrix n n α) (hA : IsLeftRegular A.det
 -/
 theorem adjugate_mul_distrib (A B : Matrix n n α) : adjugate (A ⬝ B) = adjugate B ⬝ adjugate A :=
   by
-  let g : Matrix n n α → Matrix n n α[X] := fun M => M.map Polynomial.c + (Polynomial.x : α[X]) • 1
+  let g : Matrix n n α → Matrix n n α[X] := fun M => M.map Polynomial.C + (Polynomial.X : α[X]) • 1
   let f' : Matrix n n α[X] →+* Matrix n n α := (Polynomial.evalRingHom 0).mapMatrix
   have f'_inv : ∀ M, f' (g M) = M := by
     intro

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

@@ -393,11 +393,11 @@ theorem adjugate_fin_one (A : Matrix (Fin 1) (Fin 1) α) : adjugate A = 1 :=
 #align matrix.adjugate_fin_one Matrix.adjugate_fin_one
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:207:4: warning: unsupported notation `«expr!![ » -/
-/- ./././Mathport/Syntax/Translate/Expr.lean:391:14: unsupported user notation matrix.notation -/
+/- ./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation -/
 theorem adjugate_fin_two (A : Matrix (Fin 2) (Fin 2) α) :
     adjugate A =
       «expr!![ »
-        "./././Mathport/Syntax/Translate/Expr.lean:391:14: unsupported user notation matrix.notation" :=
+        "./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation" :=
   by
   ext (i j)
   rw [adjugate_apply, det_fin_two]
@@ -412,16 +412,16 @@ theorem adjugate_fin_two (A : Matrix (Fin 2) (Fin 2) α) :
 #align matrix.adjugate_fin_two Matrix.adjugate_fin_two
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:207:4: warning: unsupported notation `«expr!![ » -/
-/- ./././Mathport/Syntax/Translate/Expr.lean:391:14: unsupported user notation matrix.notation -/
+/- ./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:207:4: warning: unsupported notation `«expr!![ » -/
-/- ./././Mathport/Syntax/Translate/Expr.lean:391:14: unsupported user notation matrix.notation -/
+/- ./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation -/
 @[simp]
 theorem adjugate_fin_two_of (a b c d : α) :
     adjugate
         («expr!![ »
-          "./././Mathport/Syntax/Translate/Expr.lean:391:14: unsupported user notation matrix.notation") =
+          "./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation") =
       «expr!![ »
-        "./././Mathport/Syntax/Translate/Expr.lean:391:14: unsupported user notation matrix.notation" :=
+        "./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation" :=
   adjugate_fin_two _
 #align matrix.adjugate_fin_two_of Matrix.adjugate_fin_two_of
 

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

Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

@@ -510,7 +510,7 @@ theorem adjugate_mul_distrib (A B : Matrix n n α) : adjugate (A * B) = adjugate
   have hu : ∀ M : Matrix n n α, IsRegular (g M).det := by
     intro M
     refine' Polynomial.Monic.isRegular _
-    simp only [g, Polynomial.Monic.def', ← Polynomial.leadingCoeff_det_X_one_add_C M, add_comm]
+    simp only [g, Polynomial.Monic.def, ← Polynomial.leadingCoeff_det_X_one_add_C M, add_comm]
   rw [← f'_adj, ← f'_adj, ← f'_adj, ← f'.map_mul, ←
     adjugate_mul_distrib_aux _ _ (hu A).left (hu B).left, RingHom.map_adjugate,
     RingHom.map_adjugate, f'_inv, f'_g_mul]

We change the following field in the definition of an additive commutative monoid:

 nsmul_succ : ∀ (n : ℕ) (x : G),
-  AddMonoid.nsmul (n + 1) x = x + AddMonoid.nsmul n x
+  AddMonoid.nsmul (n + 1) x = AddMonoid.nsmul n x + x

where the latter is more natural

We adjust the definitions of ^ in monoids, groups, etc. Originally there was a warning comment about why this natural order was preferred

use x * npowRec n x and not npowRec n x * x in the definition to make sure that definitional unfolding of npowRec is blocked, to avoid deep recursion issues.

but it seems to no longer apply.

Remarks on the PR :

• pow_succ and pow_succ' have switched their meanings.
• Most of the time, the proofs were adjusted by priming/unpriming one lemma, or exchanging left and right; a few proofs were more complicated to adjust.
• In particular, [Mathlib/NumberTheory/RamificationInertia.lean] used Ideal.IsPrime.mul_mem_pow which is defined in [Mathlib/RingTheory/DedekindDomain/Ideal.lean]. Changing the order of operation forced me to add the symmetric lemma Ideal.IsPrime.mem_pow_mul.
• the docstring for Cauchy condensation test in [Mathlib/Analysis/PSeries.lean] was mathematically incorrect, I added the mention that the function is antitone.

@@ -385,7 +385,7 @@ theorem det_adjugate (A : Matrix n n α) : (adjugate A).det = A.det ^ (Fintype.c
   calc
     A'.det * A'.adjugate.det = (A' * adjugate A').det := (det_mul _ _).symm
     _ = A'.det ^ Fintype.card n := by rw [mul_adjugate, det_smul, det_one, mul_one]
-    _ = A'.det * A'.det ^ (Fintype.card n - 1) := by rw [← pow_succ, h_card]
+    _ = A'.det * A'.det ^ (Fintype.card n - 1) := by rw [← pow_succ', h_card]
 #align matrix.det_adjugate Matrix.det_adjugate
 
 @[simp]
@@ -554,7 +554,7 @@ theorem adjugate_adjugate (A : Matrix n n α) (h : Fintype.card n ≠ 1) :
     mul_left_cancel₀ (det_mvPolynomialX_ne_zero n ℤ)
   apply is_reg.matrix
   simp only
-  rw [smul_smul, ← pow_succ, h_card', det_smul_adjugate_adjugate]
+  rw [smul_smul, ← pow_succ', h_card', det_smul_adjugate_adjugate]
 #align matrix.adjugate_adjugate Matrix.adjugate_adjugate
 
 /-- A weaker version of `Matrix.adjugate_adjugate` that uses `Nontrivial`. -/

This will become an error in 2024-03-16 nightly, possibly not permanently.

Co-authored-by: Scott Morrison <scott@tqft.net>

@@ -510,7 +510,7 @@ theorem adjugate_mul_distrib (A B : Matrix n n α) : adjugate (A * B) = adjugate
   have hu : ∀ M : Matrix n n α, IsRegular (g M).det := by
     intro M
     refine' Polynomial.Monic.isRegular _
-    simp only [g, Polynomial.Monic.def, ← Polynomial.leadingCoeff_det_X_one_add_C M, add_comm]
+    simp only [g, Polynomial.Monic.def', ← Polynomial.leadingCoeff_det_X_one_add_C M, add_comm]
   rw [← f'_adj, ← f'_adj, ← f'_adj, ← f'.map_mul, ←
     adjugate_mul_distrib_aux _ _ (hu A).left (hu B).left, RingHom.map_adjugate,
     RingHom.map_adjugate, f'_inv, f'_g_mul]

Empty lines were removed by executing the following Python script twice

import os
import re


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

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

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

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

@@ -47,7 +47,6 @@ namespace Matrix
 universe u v w
 
 variable {m : Type u} {n : Type v} {α : Type w}
-
 variable [DecidableEq n] [Fintype n] [DecidableEq m] [Fintype m] [CommRing α]
 
 open Matrix BigOperators Polynomial Equiv Equiv.Perm Finset

This is a very large PR, but it has been reviewed piecemeal already in PRs to the bump/v4.7.0 branch as we update to intermediate nightlies.

Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Kyle Miller <kmill31415@gmail.com> Co-authored-by: damiano <adomani@gmail.com>

@@ -448,7 +448,7 @@ theorem det_eq_sum_mul_adjugate_row (A : Matrix n n α) (i : n) :
   obtain ⟨e⟩ := Fintype.truncEquivFinOfCardEq hn'
   let A' := reindex e e A
   suffices det A' = ∑ j : Fin n'.succ, A' (e i) j * adjugate A' j (e i) by
-    simp_rw [det_reindex_self, adjugate_reindex, reindex_apply, submatrix_apply, ← e.sum_comp,
+    simp_rw [A', det_reindex_self, adjugate_reindex, reindex_apply, submatrix_apply, ← e.sum_comp,
       Equiv.symm_apply_apply] at this
     exact this
   rw [det_succ_row A' (e i)]

Add adjugate_fin_three and adjugate_fin_three_of theorems, in the same style as adjugate_fin_two.

Co-authored-by: Bergschaf <86738237+Bergschaf@users.noreply.github.com>

@@ -418,6 +418,28 @@ theorem adjugate_fin_two_of (a b c d : α) : adjugate !![a, b; c, d] = !![d, -b;
   adjugate_fin_two _
 #align matrix.adjugate_fin_two_of Matrix.adjugate_fin_two_of
 
+theorem adjugate_fin_three (A : Matrix (Fin 3) (Fin 3) α) :
+    adjugate A =
+    !![A 1 1 * A 2 2 - A 1 2 * A 2 1,
+      -(A 0 1 * A 2 2) + A 0 2 * A 2 1,
+      A 0 1 * A 1 2 - A 0 2 * A 1 1;
+      -(A 1 0 * A 2 2) + A 1 2 * A 2 0,
+      A 0 0 * A 2 2 - A 0 2 * A 2 0,
+      -(A 0 0 * A 1 2) + A 0 2 * A 1 0;
+      A 1 0 * A 2 1 - A 1 1 * A 2 0,
+      -(A 0 0 * A 2 1) + A 0 1 * A 2 0,
+      A 0 0 * A 1 1 - A 0 1 * A 1 0] := by
+  ext i j
+  rw [adjugate_fin_succ_eq_det_submatrix, det_fin_two]
+  fin_cases i <;> fin_cases j <;> simp [updateRow, Fin.succAbove, Fin.lt_def] <;> ring
+
+@[simp]
+theorem adjugate_fin_three_of (a b c d e f g h i : α) :
+    adjugate !![a, b, c; d, e, f; g, h, i] =
+      !![  e * i  - f * h, -(b * i) + c * h,   b * f  - c * e;
+         -(d * i) + f * g,   a * i  - c * g, -(a * f) + c * d;
+           d * h  - e * g, -(a * h) + b * g,   a * e  - b * d] :=
+  adjugate_fin_three _
 
 theorem det_eq_sum_mul_adjugate_row (A : Matrix n n α) (i : n) :
     det A = ∑ j : n, A i j * adjugate A j i := by

@@ -399,18 +399,18 @@ theorem adjugate_fin_one (A : Matrix (Fin 1) (Fin 1) α) : adjugate A = 1 :=
   adjugate_subsingleton A
 #align matrix.adjugate_fin_one Matrix.adjugate_fin_one
 
+theorem adjugate_fin_succ_eq_det_submatrix {n : ℕ} (A : Matrix (Fin n.succ) (Fin n.succ) α) (i j) :
+    adjugate A i j = (-1) ^ (j + i : ℕ) * det (A.submatrix j.succAbove i.succAbove) := by
+  simp_rw [adjugate_apply, det_succ_row _ j, updateRow_self, submatrix_updateRow_succAbove]
+  rw [Fintype.sum_eq_single i fun h hjk => ?_, Pi.single_eq_same, mul_one]
+  rw [Pi.single_eq_of_ne hjk, mul_zero, zero_mul]
+#align matrix.adjugate_fin_succ_eq_det_submatrix Matrix.adjugate_fin_succ_eq_det_submatrix
+
 theorem adjugate_fin_two (A : Matrix (Fin 2) (Fin 2) α) :
     adjugate A = !![A 1 1, -A 0 1; -A 1 0, A 0 0] := by
   ext i j
-  rw [adjugate_apply, det_fin_two]
-  fin_cases i <;> fin_cases j <;>
-    simp [one_mul, Fin.one_eq_zero_iff, Pi.single_eq_same, mul_zero, sub_zero,
-      Pi.single_eq_of_ne, Ne.def, not_false_iff, updateRow_self, updateRow_ne, cons_val_zero,
-      of_apply, Nat.succ_succ_ne_one, Pi.single_eq_of_ne, updateRow_self, Pi.single_eq_of_ne,
-      Ne.def, Fin.zero_eq_one_iff, Nat.succ_succ_ne_one, not_false_iff, updateRow_ne,
-      Fin.one_eq_zero_iff, zero_mul, Pi.single_eq_same, one_mul, zero_sub, of_apply,
-      cons_val', cons_val_fin_one, cons_val_one, head_fin_const, neg_inj, eq_self_iff_true,
-      cons_val_zero, head_cons, mul_one]
+  rw [adjugate_fin_succ_eq_det_submatrix]
+  fin_cases i <;> fin_cases j <;> simp
 #align matrix.adjugate_fin_two Matrix.adjugate_fin_two
 
 @[simp]
@@ -418,12 +418,6 @@ theorem adjugate_fin_two_of (a b c d : α) : adjugate !![a, b; c, d] = !![d, -b;
   adjugate_fin_two _
 #align matrix.adjugate_fin_two_of Matrix.adjugate_fin_two_of
 
-theorem adjugate_fin_succ_eq_det_submatrix {n : ℕ} (A : Matrix (Fin n.succ) (Fin n.succ) α) (i j) :
-    adjugate A i j = (-1) ^ (j + i : ℕ) * det (A.submatrix j.succAbove i.succAbove) := by
-  simp_rw [adjugate_apply, det_succ_row _ j, updateRow_self, submatrix_updateRow_succAbove]
-  rw [Fintype.sum_eq_single i fun h hjk => ?_, Pi.single_eq_same, mul_one]
-  rw [Pi.single_eq_of_ne hjk, mul_zero, zero_mul]
-#align matrix.adjugate_fin_succ_eq_det_submatrix Matrix.adjugate_fin_succ_eq_det_submatrix
 
 theorem det_eq_sum_mul_adjugate_row (A : Matrix n n α) (i : n) :
     det A = ∑ j : n, A i j * adjugate A j i := by

Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

@@ -485,7 +485,7 @@ theorem adjugate_mul_distrib (A B : Matrix n n α) : adjugate (A * B) = adjugate
   have f'_inv : ∀ M, f' (g M) = M := by
     intro
     ext
-    simp
+    simp [f', g]
   have f'_adj : ∀ M : Matrix n n α, f' (adjugate (g M)) = adjugate M := by
     intro
     rw [RingHom.map_adjugate, f'_inv]
@@ -495,7 +495,7 @@ theorem adjugate_mul_distrib (A B : Matrix n n α) : adjugate (A * B) = adjugate
   have hu : ∀ M : Matrix n n α, IsRegular (g M).det := by
     intro M
     refine' Polynomial.Monic.isRegular _
-    simp only [Polynomial.Monic.def, ← Polynomial.leadingCoeff_det_X_one_add_C M, add_comm]
+    simp only [g, Polynomial.Monic.def, ← Polynomial.leadingCoeff_det_X_one_add_C M, add_comm]
   rw [← f'_adj, ← f'_adj, ← f'_adj, ← f'.map_mul, ←
     adjugate_mul_distrib_aux _ _ (hu A).left (hu B).left, RingHom.map_adjugate,
     RingHom.map_adjugate, f'_inv, f'_g_mul]

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>

@@ -266,7 +266,7 @@ theorem adjugate_reindex (e : m ≃ n) (A : Matrix m m α) :
 /-- Since the map `b ↦ cramer A b` is linear in `b`, it must be multiplication by some matrix. This
 matrix is `A.adjugate`. -/
 theorem cramer_eq_adjugate_mulVec (A : Matrix n n α) (b : n → α) :
-    cramer A b = A.adjugate.mulVec b := by
+    cramer A b = A.adjugate *ᵥ b := by
   nth_rw 2 [← A.transpose_transpose]
   rw [← adjugate_transpose, adjugate_def]
   have : b = ∑ i, b i • Pi.single i 1 := by
@@ -309,7 +309,7 @@ theorem adjugate_smul (r : α) (A : Matrix n n α) :
 if the determinant is not a unit. A sufficient (but still not necessary) condition is that `A.det`
 divides `b`. -/
 @[simp]
-theorem mulVec_cramer (A : Matrix n n α) (b : n → α) : A.mulVec (cramer A b) = A.det • b := by
+theorem mulVec_cramer (A : Matrix n n α) (b : n → α) : A *ᵥ cramer A b = A.det • b := by
   rw [cramer_eq_adjugate_mulVec, mulVec_mulVec, mul_adjugate, smul_mulVec_assoc, one_mulVec]
 #align matrix.mul_vec_cramer Matrix.mulVec_cramer
 

I literally went through and regex'd some uses of cases', replacing them with rcases; this is meant to be a low effort PR as I hope that tools can do this in the future.

rcases is an easier replacement than cases, though with better tools we could in future do a second pass converting simple rcases added here (and existing ones) to cases.

@@ -372,7 +372,7 @@ theorem _root_.AlgHom.map_adjugate {R A B : Type*} [CommSemiring R] [CommRing A]
 
 theorem det_adjugate (A : Matrix n n α) : (adjugate A).det = A.det ^ (Fintype.card n - 1) := by
   -- get rid of the `- 1`
-  cases' (Fintype.card n).eq_zero_or_pos with h_card h_card
+  rcases (Fintype.card n).eq_zero_or_pos with h_card | h_card
   · haveI : IsEmpty n := Fintype.card_eq_zero_iff.mp h_card
     rw [h_card, Nat.zero_sub, pow_zero, adjugate_subsingleton, det_one]
   replace h_card := tsub_add_cancel_of_le h_card.nat_succ_le

I've also got a change to make this required, but I'd like to land this first.

@@ -223,7 +223,7 @@ theorem adjugate_transpose (A : Matrix n n α) : (adjugate A)ᵀ = adjugate Aᵀ
   apply Finset.sum_congr rfl
   intro σ _
   congr 1
-  by_cases i = σ j
+  by_cases h : i = σ j
   · -- Everything except `(i , j)` (= `(σ j , j)`) is given by A, and the rest is a single `1`.
     congr
     ext j'

@@ -277,7 +277,7 @@ theorem cramer_eq_adjugate_mulVec (A : Matrix n n α) (b : n → α) :
   conv_lhs =>
     rw [this]
   ext k
-  simp [mulVec, dotProduct, mul_comm, map_sum]
+  simp [mulVec, dotProduct, mul_comm]
 #align matrix.cramer_eq_adjugate_mul_vec Matrix.cramer_eq_adjugate_mulVec
 
 theorem mul_adjugate_apply (A : Matrix n n α) (i j k) :

Note that _root_.map_sum is not marked as @[simp].

@@ -277,7 +277,7 @@ theorem cramer_eq_adjugate_mulVec (A : Matrix n n α) (b : n → α) :
   conv_lhs =>
     rw [this]
   ext k
-  simp [mulVec, dotProduct, mul_comm]
+  simp [mulVec, dotProduct, mul_comm, map_sum]
 #align matrix.cramer_eq_adjugate_mul_vec Matrix.cramer_eq_adjugate_mulVec
 
 theorem mul_adjugate_apply (A : Matrix n n α) (i j k) :

Also _root_.map_smul when in the neighbourhood.

@@ -154,7 +154,7 @@ theorem cramer_zero [Nontrivial n] : cramer (0 : Matrix n n α) = 0 := by
 /-- Use linearity of `cramer` to take it out of a summation. -/
 theorem sum_cramer {β} (s : Finset β) (f : β → n → α) :
     (∑ x in s, cramer A (f x)) = cramer A (∑ x in s, f x) :=
-  (LinearMap.map_sum (cramer A)).symm
+  (map_sum (cramer A) ..).symm
 #align matrix.sum_cramer Matrix.sum_cramer
 
 /-- Use linearity of `cramer` and vector evaluation to take `cramer A _ i` out of a summation. -/

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).

@@ -404,11 +404,11 @@ theorem adjugate_fin_two (A : Matrix (Fin 2) (Fin 2) α) :
   ext i j
   rw [adjugate_apply, det_fin_two]
   fin_cases i <;> fin_cases j <;>
-    simp [one_mul, Fin.one_eq_zero_iff, Pi.single_eq_same, MulZeroClass.mul_zero, sub_zero,
+    simp [one_mul, Fin.one_eq_zero_iff, Pi.single_eq_same, mul_zero, sub_zero,
       Pi.single_eq_of_ne, Ne.def, not_false_iff, updateRow_self, updateRow_ne, cons_val_zero,
       of_apply, Nat.succ_succ_ne_one, Pi.single_eq_of_ne, updateRow_self, Pi.single_eq_of_ne,
       Ne.def, Fin.zero_eq_one_iff, Nat.succ_succ_ne_one, not_false_iff, updateRow_ne,
-      Fin.one_eq_zero_iff, MulZeroClass.zero_mul, Pi.single_eq_same, one_mul, zero_sub, of_apply,
+      Fin.one_eq_zero_iff, zero_mul, Pi.single_eq_same, one_mul, zero_sub, of_apply,
       cons_val', cons_val_fin_one, cons_val_one, head_fin_const, neg_inj, eq_self_iff_true,
       cons_val_zero, head_cons, mul_one]
 #align matrix.adjugate_fin_two Matrix.adjugate_fin_two
@@ -422,7 +422,7 @@ theorem adjugate_fin_succ_eq_det_submatrix {n : ℕ} (A : Matrix (Fin n.succ) (F
     adjugate A i j = (-1) ^ (j + i : ℕ) * det (A.submatrix j.succAbove i.succAbove) := by
   simp_rw [adjugate_apply, det_succ_row _ j, updateRow_self, submatrix_updateRow_succAbove]
   rw [Fintype.sum_eq_single i fun h hjk => ?_, Pi.single_eq_same, mul_one]
-  rw [Pi.single_eq_of_ne hjk, MulZeroClass.mul_zero, MulZeroClass.zero_mul]
+  rw [Pi.single_eq_of_ne hjk, mul_zero, zero_mul]
 #align matrix.adjugate_fin_succ_eq_det_submatrix Matrix.adjugate_fin_succ_eq_det_submatrix
 
 theorem det_eq_sum_mul_adjugate_row (A : Matrix n n α) (i : n) :

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).

@@ -68,7 +68,7 @@ variable (A : Matrix n n α) (b : n → α)
 /-- `cramerMap A b i` is the determinant of the matrix `A` with column `i` replaced with `b`,
   and thus `cramerMap A b` is the vector output by Cramer's rule on `A` and `b`.
 
-  If `A ⬝ x = b` has a unique solution in `x`, `cramerMap A` sends the vector `b` to `A.det • x`.
+  If `A * x = b` has a unique solution in `x`, `cramerMap A` sends the vector `b` to `A.det • x`.
   Otherwise, the outcome of `cramerMap` is well-defined but not necessarily useful.
 -/
 def cramerMap (i : n) : α :=
@@ -89,7 +89,7 @@ theorem cramer_is_linear : IsLinearMap α (cramerMap A) := by
 /-- `cramer A b i` is the determinant of the matrix `A` with column `i` replaced with `b`,
   and thus `cramer A b` is the vector output by Cramer's rule on `A` and `b`.
 
-  If `A ⬝ x = b` has a unique solution in `x`, `cramer A` sends the vector `b` to `A.det • x`.
+  If `A * x = b` has a unique solution in `x`, `cramer A` sends the vector `b` to `A.det • x`.
   Otherwise, the outcome of `cramer` is well-defined but not necessarily useful.
  -/
 def cramer (A : Matrix n n α) : (n → α) →ₗ[α] (n → α) :=
@@ -286,15 +286,15 @@ theorem mul_adjugate_apply (A : Matrix n n α) (i j k) :
     smul_eq_mul, mul_one]
 #align matrix.mul_adjugate_apply Matrix.mul_adjugate_apply
 
-theorem mul_adjugate (A : Matrix n n α) : A ⬝ adjugate A = A.det • (1 : Matrix n n α) := by
+theorem mul_adjugate (A : Matrix n n α) : A * adjugate A = A.det • (1 : Matrix n n α) := by
   ext i j
   rw [mul_apply, Pi.smul_apply, Pi.smul_apply, one_apply, smul_eq_mul, mul_boole]
   simp [mul_adjugate_apply, sum_cramer_apply, cramer_transpose_row_self, Pi.single_apply, eq_comm]
 #align matrix.mul_adjugate Matrix.mul_adjugate
 
-theorem adjugate_mul (A : Matrix n n α) : adjugate A ⬝ A = A.det • (1 : Matrix n n α) :=
+theorem adjugate_mul (A : Matrix n n α) : adjugate A * A = A.det • (1 : Matrix n n α) :=
   calc
-    adjugate A ⬝ A = (Aᵀ ⬝ adjugate Aᵀ)ᵀ := by
+    adjugate A * A = (Aᵀ * adjugate Aᵀ)ᵀ := by
       rw [← adjugate_transpose, ← transpose_mul, transpose_transpose]
     _ = _ := by rw [mul_adjugate Aᵀ, det_transpose, transpose_smul, transpose_one]
 #align matrix.adjugate_mul Matrix.adjugate_mul
@@ -305,7 +305,7 @@ theorem adjugate_smul (r : α) (A : Matrix n n α) :
   rfl
 #align matrix.adjugate_smul Matrix.adjugate_smul
 
-/-- A stronger form of **Cramer's rule** that allows us to solve some instances of `A ⬝ x = b` even
+/-- A stronger form of **Cramer's rule** that allows us to solve some instances of `A * x = b` even
 if the determinant is not a unit. A sufficient (but still not necessary) condition is that `A.det`
 divides `b`. -/
 @[simp]
@@ -384,7 +384,7 @@ theorem det_adjugate (A : Matrix n n α) : (adjugate A).det = A.det ^ (Fintype.c
       AlgHom.map_det, ← AlgHom.map_pow, this]
   apply mul_left_cancel₀ (show A'.det ≠ 0 from det_mvPolynomialX_ne_zero n ℤ)
   calc
-    A'.det * A'.adjugate.det = (A' ⬝ adjugate A').det := (det_mul _ _).symm
+    A'.det * A'.adjugate.det = (A' * adjugate A').det := (det_mul _ _).symm
     _ = A'.det ^ Fintype.card n := by rw [mul_adjugate, det_smul, det_one, mul_one]
     _ = A'.det * A'.det ^ (Fintype.card n - 1) := by rw [← pow_succ, h_card]
 #align matrix.det_adjugate Matrix.det_adjugate
@@ -457,9 +457,8 @@ theorem isRegular_of_isLeftRegular_det {A : Matrix n n α} (hA : IsLeftRegular A
     refine' hA.matrix _
     simp only at h ⊢
     rw [← Matrix.one_mul B, ← Matrix.one_mul C, ← Matrix.smul_mul, ← Matrix.smul_mul, ←
-      adjugate_mul, Matrix.mul_assoc, Matrix.mul_assoc, ← mul_eq_mul A, h, mul_eq_mul]
-  · intro B C h
-    simp only [mul_eq_mul] at h
+      adjugate_mul, Matrix.mul_assoc, Matrix.mul_assoc, h]
+  · intro B C (h : B * A = C * A)
     refine' hA.matrix _
     simp only
     rw [← Matrix.mul_one B, ← Matrix.mul_one C, ← Matrix.mul_smul, ← Matrix.mul_smul, ←
@@ -467,19 +466,19 @@ theorem isRegular_of_isLeftRegular_det {A : Matrix n n α} (hA : IsLeftRegular A
 #align matrix.is_regular_of_is_left_regular_det Matrix.isRegular_of_isLeftRegular_det
 
 theorem adjugate_mul_distrib_aux (A B : Matrix n n α) (hA : IsLeftRegular A.det)
-    (hB : IsLeftRegular B.det) : adjugate (A ⬝ B) = adjugate B ⬝ adjugate A := by
-  have hAB : IsLeftRegular (A ⬝ B).det := by
+    (hB : IsLeftRegular B.det) : adjugate (A * B) = adjugate B * adjugate A := by
+  have hAB : IsLeftRegular (A * B).det := by
     rw [det_mul]
     exact hA.mul hB
   refine' (isRegular_of_isLeftRegular_det hAB).left _
   simp only
-  rw [mul_eq_mul, mul_adjugate, mul_eq_mul, Matrix.mul_assoc, ← Matrix.mul_assoc B, mul_adjugate,
+  rw [mul_adjugate, Matrix.mul_assoc, ← Matrix.mul_assoc B, mul_adjugate,
     smul_mul, Matrix.one_mul, mul_smul, mul_adjugate, smul_smul, mul_comm, ← det_mul]
 #align matrix.adjugate_mul_distrib_aux Matrix.adjugate_mul_distrib_aux
 
 /-- Proof follows from "The trace Cayley-Hamilton theorem" by Darij Grinberg, Section 5.3
 -/
-theorem adjugate_mul_distrib (A B : Matrix n n α) : adjugate (A ⬝ B) = adjugate B ⬝ adjugate A := by
+theorem adjugate_mul_distrib (A B : Matrix n n α) : adjugate (A * B) = adjugate B * adjugate A := by
   let g : Matrix n n α → Matrix n n α[X] := fun M =>
     M.map Polynomial.C + (Polynomial.X : α[X]) • (1 : Matrix n n α[X])
   let f' : Matrix n n α[X] →+* Matrix n n α := (Polynomial.evalRingHom 0).mapMatrix
@@ -490,15 +489,14 @@ theorem adjugate_mul_distrib (A B : Matrix n n α) : adjugate (A ⬝ B) = adjuga
   have f'_adj : ∀ M : Matrix n n α, f' (adjugate (g M)) = adjugate M := by
     intro
     rw [RingHom.map_adjugate, f'_inv]
-  have f'_g_mul : ∀ M N : Matrix n n α, f' (g M ⬝ g N) = M ⬝ N := by
+  have f'_g_mul : ∀ M N : Matrix n n α, f' (g M * g N) = M * N := by
     intros M N
-    -- Porting note: needed to help the second `mul_eq_mul`
-    rw [← mul_eq_mul, RingHom.map_mul, f'_inv, f'_inv, mul_eq_mul M N]
+    rw [RingHom.map_mul, f'_inv, f'_inv]
   have hu : ∀ M : Matrix n n α, IsRegular (g M).det := by
     intro M
     refine' Polynomial.Monic.isRegular _
     simp only [Polynomial.Monic.def, ← Polynomial.leadingCoeff_det_X_one_add_C M, add_comm]
-  rw [← f'_adj, ← f'_adj, ← f'_adj, ← mul_eq_mul (f' (adjugate (g B))), ← f'.map_mul, mul_eq_mul, ←
+  rw [← f'_adj, ← f'_adj, ← f'_adj, ← f'.map_mul, ←
     adjugate_mul_distrib_aux _ _ (hu A).left (hu B).left, RingHom.map_adjugate,
     RingHom.map_adjugate, f'_inv, f'_g_mul]
 #align matrix.adjugate_mul_distrib Matrix.adjugate_mul_distrib
@@ -507,13 +505,13 @@ theorem adjugate_mul_distrib (A B : Matrix n n α) : adjugate (A ⬝ B) = adjuga
 theorem adjugate_pow (A : Matrix n n α) (k : ℕ) : adjugate (A ^ k) = adjugate A ^ k := by
   induction' k with k IH
   · simp
-  · rw [pow_succ', mul_eq_mul, adjugate_mul_distrib, IH, ← mul_eq_mul, pow_succ]
+  · rw [pow_succ', adjugate_mul_distrib, IH, pow_succ]
 #align matrix.adjugate_pow Matrix.adjugate_pow
 
 theorem det_smul_adjugate_adjugate (A : Matrix n n α) :
     det A • adjugate (adjugate A) = det A ^ (Fintype.card n - 1) • A := by
-  have : A ⬝ (A.adjugate ⬝ A.adjugate.adjugate) =
-      A ⬝ (A.det ^ (Fintype.card n - 1) • (1 : Matrix n n α)) := by
+  have : A * (A.adjugate * A.adjugate.adjugate) =
+      A * (A.det ^ (Fintype.card n - 1) • (1 : Matrix n n α)) := by
     rw [← adjugate_mul_distrib, adjugate_mul, adjugate_smul, adjugate_one]
   rwa [← Matrix.mul_assoc, mul_adjugate, Matrix.mul_smul, Matrix.mul_one, Matrix.smul_mul,
     Matrix.one_mul] at this

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

This has nice performance benefits.

@@ -354,7 +354,7 @@ theorem adjugate_diagonal (v : n → α) :
     · rw [updateColumn_ne hjk, diagonal_apply_ne' _ hjk]
 #align matrix.adjugate_diagonal Matrix.adjugate_diagonal
 
-theorem _root_.RingHom.map_adjugate {R S : Type _} [CommRing R] [CommRing S] (f : R →+* S)
+theorem _root_.RingHom.map_adjugate {R S : Type*} [CommRing R] [CommRing S] (f : R →+* S)
     (M : Matrix n n R) : f.mapMatrix M.adjugate = Matrix.adjugate (f.mapMatrix M) := by
   ext i k
   have : Pi.single i (1 : S) = f ∘ Pi.single i 1 := by
@@ -364,7 +364,7 @@ theorem _root_.RingHom.map_adjugate {R S : Type _} [CommRing R] [CommRing S] (f
     map_updateRow, ← RingHom.mapMatrix_apply, ← RingHom.map_det, ← adjugate_apply]
 #align ring_hom.map_adjugate RingHom.map_adjugate
 
-theorem _root_.AlgHom.map_adjugate {R A B : Type _} [CommSemiring R] [CommRing A] [CommRing B]
+theorem _root_.AlgHom.map_adjugate {R A B : Type*} [CommSemiring R] [CommRing A] [CommRing B]
     [Algebra R A] [Algebra R B] (f : A →ₐ[R] B) (M : Matrix n n A) :
     f.mapMatrix M.adjugate = Matrix.adjugate (f.mapMatrix M) :=
   f.toRingHom.map_adjugate _

• depends on: #5966

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

@@ -2,17 +2,14 @@
 Copyright (c) 2019 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.adjugate
-! leanprover-community/mathlib commit a99f85220eaf38f14f94e04699943e185a5e1d1a
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Algebra.Regular.Basic
 import Mathlib.LinearAlgebra.Matrix.MvPolynomial
 import Mathlib.LinearAlgebra.Matrix.Polynomial
 import Mathlib.RingTheory.Polynomial.Basic
 
+#align_import linear_algebra.matrix.adjugate from "leanprover-community/mathlib"@"a99f85220eaf38f14f94e04699943e185a5e1d1a"
+
 /-!
 # Cramer's rule and adjugate matrices
 

This PR is the result of running

find . -type f -name "*.lean" -exec sed -i -E 's/^( +)\. /\1· /' {} \;
find . -type f -name "*.lean" -exec sed -i -E 'N;s/^( +·)\n +(.*)$/\1 \2/;P;D' {} \;

which firstly replaces . focusing dots with · and secondly removes isolated instances of such dots, unifying them with the following line. A new rule is placed in the style linter to verify this.

@@ -348,8 +348,7 @@ theorem adjugate_diagonal (v : n → α) :
   ext i j
   simp only [adjugate_def, cramer_apply, diagonal_transpose, of_apply]
   obtain rfl | hij := eq_or_ne i j
-  ·
-    rw [diagonal_apply_eq, diagonal_updateColumn_single, det_diagonal,
+  · rw [diagonal_apply_eq, diagonal_updateColumn_single, det_diagonal,
       prod_update_of_mem (Finset.mem_univ _), sdiff_singleton_eq_erase, one_mul]
   · rw [diagonal_apply_ne _ hij]
     refine' det_eq_zero_of_row_eq_zero j fun k => _

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>

@@ -147,7 +147,7 @@ theorem cramer_subsingleton_apply [Subsingleton n] (A : Matrix n n α) (b : n 
 #align matrix.cramer_subsingleton_apply Matrix.cramer_subsingleton_apply
 
 theorem cramer_zero [Nontrivial n] : cramer (0 : Matrix n n α) = 0 := by
-  ext (i j)
+  ext i j
   obtain ⟨j', hj'⟩ : ∃ j', j' ≠ j := exists_ne j
   apply det_eq_zero_of_column_eq_zero j'
   intro j''
@@ -220,7 +220,7 @@ theorem adjugate_apply (A : Matrix n n α) (i j : n) :
 #align matrix.adjugate_apply Matrix.adjugate_apply
 
 theorem adjugate_transpose (A : Matrix n n α) : (adjugate A)ᵀ = adjugate Aᵀ := by
-  ext (i j)
+  ext i j
   rw [transpose_apply, adjugate_apply, adjugate_apply, updateRow_transpose, det_transpose]
   rw [det_apply', det_apply']
   apply Finset.sum_congr rfl
@@ -252,7 +252,7 @@ theorem adjugate_transpose (A : Matrix n n α) : (adjugate A)ᵀ = adjugate Aᵀ
 @[simp]
 theorem adjugate_submatrix_equiv_self (e : n ≃ m) (A : Matrix m m α) :
     adjugate (A.submatrix e e) = (adjugate A).submatrix e e := by
-  ext (i j)
+  ext i j
   rw [adjugate_apply, submatrix_apply, adjugate_apply, ← det_submatrix_equiv_self e,
     updateRow_submatrix_equiv]
   -- Porting note: added
@@ -290,7 +290,7 @@ theorem mul_adjugate_apply (A : Matrix n n α) (i j k) :
 #align matrix.mul_adjugate_apply Matrix.mul_adjugate_apply
 
 theorem mul_adjugate (A : Matrix n n α) : A ⬝ adjugate A = A.det • (1 : Matrix n n α) := by
-  ext (i j)
+  ext i j
   rw [mul_apply, Pi.smul_apply, Pi.smul_apply, one_apply, smul_eq_mul, mul_boole]
   simp [mul_adjugate_apply, sum_cramer_apply, cramer_transpose_row_self, Pi.single_apply, eq_comm]
 #align matrix.mul_adjugate Matrix.mul_adjugate
@@ -317,7 +317,7 @@ theorem mulVec_cramer (A : Matrix n n α) (b : n → α) : A.mulVec (cramer A b)
 #align matrix.mul_vec_cramer Matrix.mulVec_cramer
 
 theorem adjugate_subsingleton [Subsingleton n] (A : Matrix n n α) : adjugate A = 1 := by
-  ext (i j)
+  ext i j
   simp [Subsingleton.elim i j, adjugate_apply, det_eq_elem_of_subsingleton _ i]
 #align matrix.adjugate_subsingleton Matrix.adjugate_subsingleton
 
@@ -329,7 +329,7 @@ theorem adjugate_eq_one_of_card_eq_one {A : Matrix n n α} (h : Fintype.card n =
 
 @[simp]
 theorem adjugate_zero [Nontrivial n] : adjugate (0 : Matrix n n α) = 0 := by
-  ext (i j)
+  ext i j
   obtain ⟨j', hj'⟩ : ∃ j', j' ≠ j := exists_ne j
   apply det_eq_zero_of_column_eq_zero j'
   intro j''
@@ -360,7 +360,7 @@ theorem adjugate_diagonal (v : n → α) :
 
 theorem _root_.RingHom.map_adjugate {R S : Type _} [CommRing R] [CommRing S] (f : R →+* S)
     (M : Matrix n n R) : f.mapMatrix M.adjugate = Matrix.adjugate (f.mapMatrix M) := by
-  ext (i k)
+  ext i k
   have : Pi.single i (1 : S) = f ∘ Pi.single i 1 := by
     rw [← f.map_one]
     exact Pi.single_op (fun _ => f) (fun _ => f.map_zero) i (1 : R)
@@ -405,7 +405,7 @@ theorem adjugate_fin_one (A : Matrix (Fin 1) (Fin 1) α) : adjugate A = 1 :=
 
 theorem adjugate_fin_two (A : Matrix (Fin 2) (Fin 2) α) :
     adjugate A = !![A 1 1, -A 0 1; -A 1 0, A 0 0] := by
-  ext (i j)
+  ext i j
   rw [adjugate_apply, det_fin_two]
   fin_cases i <;> fin_cases j <;>
     simp [one_mul, Fin.one_eq_zero_iff, Pi.single_eq_same, MulZeroClass.mul_zero, sub_zero,

@@ -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.adjugate
-! leanprover-community/mathlib commit 0e2aab2b0d521f060f62a14d2cf2e2c54e8491d6
+! leanprover-community/mathlib commit a99f85220eaf38f14f94e04699943e185a5e1d1a
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -422,6 +422,32 @@ theorem adjugate_fin_two_of (a b c d : α) : adjugate !![a, b; c, d] = !![d, -b;
   adjugate_fin_two _
 #align matrix.adjugate_fin_two_of Matrix.adjugate_fin_two_of
 
+theorem adjugate_fin_succ_eq_det_submatrix {n : ℕ} (A : Matrix (Fin n.succ) (Fin n.succ) α) (i j) :
+    adjugate A i j = (-1) ^ (j + i : ℕ) * det (A.submatrix j.succAbove i.succAbove) := by
+  simp_rw [adjugate_apply, det_succ_row _ j, updateRow_self, submatrix_updateRow_succAbove]
+  rw [Fintype.sum_eq_single i fun h hjk => ?_, Pi.single_eq_same, mul_one]
+  rw [Pi.single_eq_of_ne hjk, MulZeroClass.mul_zero, MulZeroClass.zero_mul]
+#align matrix.adjugate_fin_succ_eq_det_submatrix Matrix.adjugate_fin_succ_eq_det_submatrix
+
+theorem det_eq_sum_mul_adjugate_row (A : Matrix n n α) (i : n) :
+    det A = ∑ j : n, A i j * adjugate A j i := by
+  haveI : Nonempty n := ⟨i⟩
+  obtain ⟨n', hn'⟩ := Nat.exists_eq_succ_of_ne_zero (Fintype.card_ne_zero : Fintype.card n ≠ 0)
+  obtain ⟨e⟩ := Fintype.truncEquivFinOfCardEq hn'
+  let A' := reindex e e A
+  suffices det A' = ∑ j : Fin n'.succ, A' (e i) j * adjugate A' j (e i) by
+    simp_rw [det_reindex_self, adjugate_reindex, reindex_apply, submatrix_apply, ← e.sum_comp,
+      Equiv.symm_apply_apply] at this
+    exact this
+  rw [det_succ_row A' (e i)]
+  simp_rw [mul_assoc, mul_left_comm _ (A' _ _), ← adjugate_fin_succ_eq_det_submatrix]
+#align matrix.det_eq_sum_mul_adjugate_row Matrix.det_eq_sum_mul_adjugate_row
+
+theorem det_eq_sum_mul_adjugate_col (A : Matrix n n α) (j : n) :
+    det A = ∑ i : n, A i j * adjugate A j i := by
+  simpa only [det_transpose, ← adjugate_transpose] using det_eq_sum_mul_adjugate_row Aᵀ j
+#align matrix.det_eq_sum_mul_adjugate_col Matrix.det_eq_sum_mul_adjugate_col
+
 theorem adjugate_conjTranspose [StarRing α] (A : Matrix n n α) : A.adjugateᴴ = adjugate Aᴴ := by
   dsimp only [conjTranspose]
   have : Aᵀ.adjugate.map star = adjugate (Aᵀ.map star) := (starRingEnd α).map_adjugate Aᵀ

Now that leanprover/lean4#2210 has been merged, this PR:

• removes all the set_option synthInstance.etaExperiment true commands (and some etaExperiment% term elaborators)
• removes many but not quite all set_option maxHeartbeats commands
• makes various other changes required to cope with leanprover/lean4#2210.

Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au> Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Matthew Ballard <matt@mrb.email>

@@ -45,9 +45,6 @@ cramer, cramer's rule, adjugate
 -/
 
 
--- Porting note: needed to make `cramer` function application work
-set_option synthInstance.etaExperiment true
-
 namespace Matrix
 
 universe u v w
@@ -377,8 +374,6 @@ theorem _root_.AlgHom.map_adjugate {R A B : Type _} [CommSemiring R] [CommRing A
   f.toRingHom.map_adjugate _
 #align alg_hom.map_adjugate AlgHom.map_adjugate
 
-set_option synthInstance.maxHeartbeats 300000 in
-set_option maxHeartbeats 300000 in
 theorem det_adjugate (A : Matrix n n α) : (adjugate A).det = A.det ^ (Fintype.card n - 1) := by
   -- get rid of the `- 1`
   cases' (Fintype.card n).eq_zero_or_pos with h_card h_card
@@ -502,9 +497,6 @@ theorem det_smul_adjugate_adjugate (A : Matrix n n α) :
     Matrix.one_mul] at this
 #align matrix.det_smul_adjugate_adjugate Matrix.det_smul_adjugate_adjugate
 
--- Porting note: rewrites are slow.
-set_option maxHeartbeats 400000 in
-set_option synthInstance.maxHeartbeats 300000 in
 /-- Note that this is not true for `Fintype.card n = 1` since `1 - 2 = 0` and not `-1`. -/
 theorem adjugate_adjugate (A : Matrix n n α) (h : Fintype.card n ≠ 1) :
     adjugate (adjugate A) = det A ^ (Fintype.card n - 2) • A := by

We make sure that the canonical path from NonAssocSemiring to Ring passes through Semiring, as this is a path which is followed all the time in linear algebra where the defining semilinear map σ : R →+* S depends on the NonAssocSemiring structure of R and S while the module definition depends on the Semiring structure.

Tt is not currently possible to adjust priorities by hand (see lean4#2115). Instead, the last declared instance is used, so we make sure that Semiring is declared after NonAssocRing, so that Semiring -> NonAssocSemiring is tried before NonAssocRing -> NonAssocSemiring.

@@ -377,6 +377,8 @@ theorem _root_.AlgHom.map_adjugate {R A B : Type _} [CommSemiring R] [CommRing A
   f.toRingHom.map_adjugate _
 #align alg_hom.map_adjugate AlgHom.map_adjugate
 
+set_option synthInstance.maxHeartbeats 300000 in
+set_option maxHeartbeats 300000 in
 theorem det_adjugate (A : Matrix n n α) : (adjugate A).det = A.det ^ (Fintype.card n - 1) := by
   -- get rid of the `- 1`
   cases' (Fintype.card n).eq_zero_or_pos with h_card h_card
@@ -501,7 +503,8 @@ theorem det_smul_adjugate_adjugate (A : Matrix n n α) :
 #align matrix.det_smul_adjugate_adjugate Matrix.det_smul_adjugate_adjugate
 
 -- Porting note: rewrites are slow.
-set_option maxHeartbeats 300000 in
+set_option maxHeartbeats 400000 in
+set_option synthInstance.maxHeartbeats 300000 in
 /-- Note that this is not true for `Fintype.card n = 1` since `1 - 2 = 0` and not `-1`. -/
 theorem adjugate_adjugate (A : Matrix n n α) (h : Fintype.card n ≠ 1) :
     adjugate (adjugate A) = det A ^ (Fintype.card n - 2) • A := by

This PR fixes two things:

• Most align statements for definitions and theorems and instances that are separated by two newlines from the relevant declaration (s/\n\n#align/\n#align). This is often seen in the mathport output after ending calc blocks.
• All remaining more-than-one-line #align statements. (This was needed for a script I wrote for #3630.)

@@ -175,7 +175,6 @@ theorem sum_cramer_apply {β} (s : Finset β) (f : n → β → α) (i : n) :
       congr with j
       congr
       apply Finset.sum_apply
-
 #align matrix.sum_cramer_apply Matrix.sum_cramer_apply
 
 theorem cramer_submatrix_equiv (A : Matrix m m α) (e : n ≃ m) (b : n → α) :
@@ -304,7 +303,6 @@ theorem adjugate_mul (A : Matrix n n α) : adjugate A ⬝ A = A.det • (1 : Mat
     adjugate A ⬝ A = (Aᵀ ⬝ adjugate Aᵀ)ᵀ := by
       rw [← adjugate_transpose, ← transpose_mul, transpose_transpose]
     _ = _ := by rw [mul_adjugate Aᵀ, det_transpose, transpose_smul, transpose_one]
-
 #align matrix.adjugate_mul Matrix.adjugate_mul
 
 theorem adjugate_smul (r : α) (A : Matrix n n α) :
@@ -396,7 +394,6 @@ theorem det_adjugate (A : Matrix n n α) : (adjugate A).det = A.det ^ (Fintype.c
     A'.det * A'.adjugate.det = (A' ⬝ adjugate A').det := (det_mul _ _).symm
     _ = A'.det ^ Fintype.card n := by rw [mul_adjugate, det_smul, det_one, mul_one]
     _ = A'.det * A'.det ^ (Fintype.card n - 1) := by rw [← pow_succ, h_card]
-
 #align matrix.det_adjugate Matrix.det_adjugate
 
 @[simp]

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