linear_algebra.matrix.mv_polynomial ⟷ Mathlib.LinearAlgebra.Matrix.MvPolynomial

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

@@ -4,8 +4,8 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Eric Wieser
 -/
 import LinearAlgebra.Matrix.Determinant
-import Data.MvPolynomial.Basic
-import Data.MvPolynomial.CommRing
+import Algebra.MvPolynomial.Basic
+import Algebra.MvPolynomial.CommRing
 
 #align_import linear_algebra.matrix.mv_polynomial from "leanprover-community/mathlib"@"86d1873c01a723aba6788f0b9051ae3d23b4c1c3"
 

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

@@ -89,7 +89,7 @@ theorem det_mvPolynomialX_ne_zero [DecidableEq m] [Fintype m] [CommRing R] [Nont
     det (mvPolynomialX m m R) ≠ 0 := by
   intro h_det
   have := congr_arg Matrix.det (mv_polynomial_X_map_matrix_eval (1 : Matrix m m R))
-  rw [det_one, ← RingHom.map_det, h_det, RingHom.map_zero] at this 
+  rw [det_one, ← RingHom.map_det, h_det, RingHom.map_zero] at this
   exact zero_ne_one this
 #align matrix.det_mv_polynomial_X_ne_zero Matrix.det_mvPolynomialX_ne_zero
 -/

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

@@ -3,9 +3,9 @@ Copyright (c) 2021 Eric Wieser. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Eric Wieser
 -/
-import Mathbin.LinearAlgebra.Matrix.Determinant
-import Mathbin.Data.MvPolynomial.Basic
-import Mathbin.Data.MvPolynomial.CommRing
+import LinearAlgebra.Matrix.Determinant
+import Data.MvPolynomial.Basic
+import Data.MvPolynomial.CommRing
 
 #align_import linear_algebra.matrix.mv_polynomial from "leanprover-community/mathlib"@"86d1873c01a723aba6788f0b9051ae3d23b4c1c3"
 

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

@@ -2,16 +2,13 @@
 Copyright (c) 2021 Eric Wieser. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Eric Wieser
-
-! This file was ported from Lean 3 source module linear_algebra.matrix.mv_polynomial
-! leanprover-community/mathlib commit 86d1873c01a723aba6788f0b9051ae3d23b4c1c3
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.LinearAlgebra.Matrix.Determinant
 import Mathbin.Data.MvPolynomial.Basic
 import Mathbin.Data.MvPolynomial.CommRing
 
+#align_import linear_algebra.matrix.mv_polynomial from "leanprover-community/mathlib"@"86d1873c01a723aba6788f0b9051ae3d23b4c1c3"
+
 /-!
 # Matrices of multivariate polynomials
 

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

@@ -41,15 +41,18 @@ noncomputable def mvPolynomialX [CommSemiring R] : Matrix m n (MvPolynomial (m 
 #align matrix.mv_polynomial_X Matrix.mvPolynomialX
 -/
 
+#print Matrix.mvPolynomialX_apply /-
 -- TODO: set as an equation lemma for `mv_polynomial_X`, see mathlib4#3024
 @[simp]
 theorem mvPolynomialX_apply [CommSemiring R] (i j) :
     mvPolynomialX m n R i j = MvPolynomial.X (i, j) :=
   rfl
 #align matrix.mv_polynomial_X_apply Matrix.mvPolynomialX_apply
+-/
 
 variable {m n R S}
 
+#print Matrix.mvPolynomialX_map_eval₂ /-
 /-- Any matrix `A` can be expressed as the evaluation of `matrix.mv_polynomial_X`.
 
 This is of particular use when `mv_polynomial (m × n) R` is an integral domain but `S` is
@@ -59,25 +62,31 @@ theorem mvPolynomialX_map_eval₂ [CommSemiring R] [CommSemiring S] (f : R →+*
     (mvPolynomialX m n R).map (MvPolynomial.eval₂ f fun p : m × n => A p.1 p.2) = A :=
   ext fun i j => MvPolynomial.eval₂_X _ (fun p : m × n => A p.1 p.2) (i, j)
 #align matrix.mv_polynomial_X_map_eval₂ Matrix.mvPolynomialX_map_eval₂
+-/
 
+#print Matrix.mvPolynomialX_mapMatrix_eval /-
 /-- A variant of `matrix.mv_polynomial_X_map_eval₂` with a bundled `ring_hom` on the LHS. -/
 theorem mvPolynomialX_mapMatrix_eval [Fintype m] [DecidableEq m] [CommSemiring R]
     (A : Matrix m m R) :
     (MvPolynomial.eval fun p : m × m => A p.1 p.2).mapMatrix (mvPolynomialX m m R) = A :=
   mvPolynomialX_map_eval₂ _ A
 #align matrix.mv_polynomial_X_map_matrix_eval Matrix.mvPolynomialX_mapMatrix_eval
+-/
 
 variable (R)
 
+#print Matrix.mvPolynomialX_mapMatrix_aeval /-
 /-- A variant of `matrix.mv_polynomial_X_map_eval₂` with a bundled `alg_hom` on the LHS. -/
 theorem mvPolynomialX_mapMatrix_aeval [Fintype m] [DecidableEq m] [CommSemiring R] [CommSemiring S]
     [Algebra R S] (A : Matrix m m S) :
     (MvPolynomial.aeval fun p : m × m => A p.1 p.2).mapMatrix (mvPolynomialX m m R) = A :=
   mvPolynomialX_map_eval₂ _ A
 #align matrix.mv_polynomial_X_map_matrix_aeval Matrix.mvPolynomialX_mapMatrix_aeval
+-/
 
 variable (m R)
 
+#print Matrix.det_mvPolynomialX_ne_zero /-
 /-- In a nontrivial ring, `matrix.mv_polynomial_X m m R` has non-zero determinant. -/
 theorem det_mvPolynomialX_ne_zero [DecidableEq m] [Fintype m] [CommRing R] [Nontrivial R] :
     det (mvPolynomialX m m R) ≠ 0 := by
@@ -86,6 +95,7 @@ theorem det_mvPolynomialX_ne_zero [DecidableEq m] [Fintype m] [CommRing R] [Nont
   rw [det_one, ← RingHom.map_det, h_det, RingHom.map_zero] at this 
   exact zero_ne_one this
 #align matrix.det_mv_polynomial_X_ne_zero Matrix.det_mvPolynomialX_ne_zero
+-/
 
 end Matrix
 

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

@@ -83,7 +83,7 @@ theorem det_mvPolynomialX_ne_zero [DecidableEq m] [Fintype m] [CommRing R] [Nont
     det (mvPolynomialX m m R) ≠ 0 := by
   intro h_det
   have := congr_arg Matrix.det (mv_polynomial_X_map_matrix_eval (1 : Matrix m m R))
-  rw [det_one, ← RingHom.map_det, h_det, RingHom.map_zero] at this
+  rw [det_one, ← RingHom.map_det, h_det, RingHom.map_zero] at this 
   exact zero_ne_one this
 #align matrix.det_mv_polynomial_X_ne_zero Matrix.det_mvPolynomialX_ne_zero
 

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

@@ -41,12 +41,6 @@ noncomputable def mvPolynomialX [CommSemiring R] : Matrix m n (MvPolynomial (m 
 #align matrix.mv_polynomial_X Matrix.mvPolynomialX
 -/
 
-/- warning: matrix.mv_polynomial_X_apply -> Matrix.mvPolynomialX_apply is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align matrix.mv_polynomial_X_apply Matrix.mvPolynomialX_applyₓ'. -/
 -- TODO: set as an equation lemma for `mv_polynomial_X`, see mathlib4#3024
 @[simp]
 theorem mvPolynomialX_apply [CommSemiring R] (i j) :
@@ -56,12 +50,6 @@ theorem mvPolynomialX_apply [CommSemiring R] (i j) :
 
 variable {m n R S}
 
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-Case conversion may be inaccurate. Consider using '#align matrix.mv_polynomial_X_map_eval₂ Matrix.mvPolynomialX_map_eval₂ₓ'. -/
 /-- Any matrix `A` can be expressed as the evaluation of `matrix.mv_polynomial_X`.
 
 This is of particular use when `mv_polynomial (m × n) R` is an integral domain but `S` is
@@ -72,9 +60,6 @@ theorem mvPolynomialX_map_eval₂ [CommSemiring R] [CommSemiring S] (f : R →+*
   ext fun i j => MvPolynomial.eval₂_X _ (fun p : m × n => A p.1 p.2) (i, j)
 #align matrix.mv_polynomial_X_map_eval₂ Matrix.mvPolynomialX_map_eval₂
 
-/- warning: matrix.mv_polynomial_X_map_matrix_eval -> Matrix.mvPolynomialX_mapMatrix_eval is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align matrix.mv_polynomial_X_map_matrix_eval Matrix.mvPolynomialX_mapMatrix_evalₓ'. -/
 /-- A variant of `matrix.mv_polynomial_X_map_eval₂` with a bundled `ring_hom` on the LHS. -/
 theorem mvPolynomialX_mapMatrix_eval [Fintype m] [DecidableEq m] [CommSemiring R]
     (A : Matrix m m R) :
@@ -84,9 +69,6 @@ theorem mvPolynomialX_mapMatrix_eval [Fintype m] [DecidableEq m] [CommSemiring R
 
 variable (R)
 
-/- warning: matrix.mv_polynomial_X_map_matrix_aeval -> Matrix.mvPolynomialX_mapMatrix_aeval is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align matrix.mv_polynomial_X_map_matrix_aeval Matrix.mvPolynomialX_mapMatrix_aevalₓ'. -/
 /-- A variant of `matrix.mv_polynomial_X_map_eval₂` with a bundled `alg_hom` on the LHS. -/
 theorem mvPolynomialX_mapMatrix_aeval [Fintype m] [DecidableEq m] [CommSemiring R] [CommSemiring S]
     [Algebra R S] (A : Matrix m m S) :
@@ -96,12 +78,6 @@ theorem mvPolynomialX_mapMatrix_aeval [Fintype m] [DecidableEq m] [CommSemiring
 
 variable (m R)
 
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-Case conversion may be inaccurate. Consider using '#align matrix.det_mv_polynomial_X_ne_zero Matrix.det_mvPolynomialX_ne_zeroₓ'. -/
 /-- In a nontrivial ring, `matrix.mv_polynomial_X m m R` has non-zero determinant. -/
 theorem det_mvPolynomialX_ne_zero [DecidableEq m] [Fintype m] [CommRing R] [Nontrivial R] :
     det (mvPolynomialX m m R) ≠ 0 := by

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

@@ -73,10 +73,7 @@ theorem mvPolynomialX_map_eval₂ [CommSemiring R] [CommSemiring S] (f : R →+*
 #align matrix.mv_polynomial_X_map_eval₂ Matrix.mvPolynomialX_map_eval₂
 
 /- warning: matrix.mv_polynomial_X_map_matrix_eval -> Matrix.mvPolynomialX_mapMatrix_eval is a dubious translation:
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p)))) (Matrix.mvPolynomialX.{u2, u2, u1} m m R _inst_3)) A
+<too large>
 Case conversion may be inaccurate. Consider using '#align matrix.mv_polynomial_X_map_matrix_eval Matrix.mvPolynomialX_mapMatrix_evalₓ'. -/
 /-- A variant of `matrix.mv_polynomial_X_map_eval₂` with a bundled `ring_hom` on the LHS. -/
 theorem mvPolynomialX_mapMatrix_eval [Fintype m] [DecidableEq m] [CommSemiring R]
@@ -88,10 +85,7 @@ theorem mvPolynomialX_mapMatrix_eval [Fintype m] [DecidableEq m] [CommSemiring R
 variable (R)
 
 /- warning: matrix.mv_polynomial_X_map_matrix_aeval -> Matrix.mvPolynomialX_mapMatrix_aeval is a dubious translation:
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m) => _inst_2 a b)) (Matrix.instAlgebraMatrixSemiring.{u1, u3, u2} m R S _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{u1} S _inst_4) _inst_5)))))) (DistribMulActionHomClass.toSMulHomClass.{max (max (max u3 u1) u2) u3, u2, max u3 u2, max u1 u3} (AlgHom.{u2, max u3 u2, max u1 u3} R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.{u3, u3, u1} m m S) _inst_3 (Matrix.semiring.{max u3 u2, u3} m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.instAlgebraMatrixSemiring.{max u3 u2, u3, u2} m R (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) (MvPolynomial.algebra.{u2, u2, u3} R R (Prod.{u3, u3} m m) _inst_3 _inst_3 (Algebra.id.{u2} R _inst_3))) (Matrix.instAlgebraMatrixSemiring.{u1, u3, u2} m R S _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{u1} S _inst_4) _inst_5)) R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.{u3, u3, u1} m m S) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (Matrix.{u3, 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(Matrix.{u3, u3, u1} m m S) (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b))))) (Algebra.toModule.{u2, max u1 u3} R (Matrix.{u3, u3, u1} m m S) _inst_3 (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.instAlgebraMatrixSemiring.{u1, u3, u2} m R S _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{u1} S _inst_4) _inst_5))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max (max u3 u1) u2) u3, u2, max u3 u2, max u1 u3} (AlgHom.{u2, max u3 u2, max u1 u3} R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.{u3, u3, u1} m m S) _inst_3 (Matrix.semiring.{max u3 u2, u3} m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.instAlgebraMatrixSemiring.{max u3 u2, u3, u2} m R (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) (MvPolynomial.algebra.{u2, u2, u3} R R (Prod.{u3, u3} m m) _inst_3 _inst_3 (Algebra.id.{u2} R _inst_3))) (Matrix.instAlgebraMatrixSemiring.{u1, u3, u2} m R S _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{u1} S _inst_4) _inst_5)) R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.{u3, u3, u1} m m S) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Semiring.toNonAssocSemiring.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.semiring.{max u3 u2, u3} m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (Semiring.toNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)))) (Module.toDistribMulAction.{u2, max u3 u2} R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Semiring.toNonAssocSemiring.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.semiring.{max u3 u2, u3} m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b))))) (Algebra.toModule.{u2, max u3 u2} R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) _inst_3 (Matrix.semiring.{max u3 u2, u3} m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.instAlgebraMatrixSemiring.{max u3 u2, u3, u2} m R (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) (MvPolynomial.algebra.{u2, u2, u3} R R (Prod.{u3, u3} m m) _inst_3 _inst_3 (Algebra.id.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, max u1 u3} R (Matrix.{u3, u3, u1} m m S) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (Semiring.toNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b))))) (Algebra.toModule.{u2, max u1 u3} R (Matrix.{u3, u3, u1} m m S) _inst_3 (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.instAlgebraMatrixSemiring.{u1, u3, u2} m R S _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{u1} S _inst_4) _inst_5))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u3 u2, max u1 u3, max (max (max u3 u1) u2) u3} R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.{u3, u3, u1} m m S) _inst_3 (Matrix.semiring.{max u3 u2, u3} m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.instAlgebraMatrixSemiring.{max u3 u2, u3, u2} m R (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) (MvPolynomial.algebra.{u2, u2, u3} R R (Prod.{u3, u3} m m) _inst_3 _inst_3 (Algebra.id.{u2} R _inst_3))) (Matrix.instAlgebraMatrixSemiring.{u1, u3, u2} m R S _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{u1} S _inst_4) _inst_5) (AlgHom.{u2, max u3 u2, max u1 u3} R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.{u3, u3, u1} m m S) _inst_3 (Matrix.semiring.{max u3 u2, u3} m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.instAlgebraMatrixSemiring.{max u3 u2, u3, u2} m R (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) (MvPolynomial.algebra.{u2, u2, u3} R R (Prod.{u3, u3} m m) _inst_3 _inst_3 (Algebra.id.{u2} R _inst_3))) (Matrix.instAlgebraMatrixSemiring.{u1, u3, u2} m R S _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{u1} S _inst_4) _inst_5)) (AlgHom.algHomClass.{u2, max u3 u2, max u1 u3} R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.{u3, u3, u1} m m S) _inst_3 (Matrix.semiring.{max u3 u2, u3} m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.instAlgebraMatrixSemiring.{max u3 u2, u3, u2} m R (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) (MvPolynomial.algebra.{u2, u2, u3} R R (Prod.{u3, u3} m m) _inst_3 _inst_3 (Algebra.id.{u2} R _inst_3))) (Matrix.instAlgebraMatrixSemiring.{u1, u3, u2} m R S _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{u1} S _inst_4) _inst_5)))))) (AlgHom.mapMatrix.{max u3 u2, u1, u3, u2} m R (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) S _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) (CommSemiring.toSemiring.{u1} S _inst_4) (MvPolynomial.algebra.{u2, u2, u3} R R (Prod.{u3, u3} m m) _inst_3 _inst_3 (Algebra.id.{u2} R _inst_3)) _inst_5 (MvPolynomial.aeval.{u2, u1, u3} R S (Prod.{u3, u3} m m) _inst_3 _inst_4 _inst_5 (fun (p : Prod.{u3, u3} m m) => A (Prod.fst.{u3, u3} m m p) (Prod.snd.{u3, u3} m m p)))) (Matrix.mvPolynomialX.{u3, u3, u2} m m R _inst_3)) A
+<too large>
 Case conversion may be inaccurate. Consider using '#align matrix.mv_polynomial_X_map_matrix_aeval Matrix.mvPolynomialX_mapMatrix_aevalₓ'. -/
 /-- A variant of `matrix.mv_polynomial_X_map_eval₂` with a bundled `alg_hom` on the LHS. -/
 theorem mvPolynomialX_mapMatrix_aeval [Fintype m] [DecidableEq m] [CommSemiring R] [CommSemiring S]

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

@@ -91,7 +91,7 @@ variable (R)
 lean 3 declaration is
   forall {m : Type.{u1}} (R : Type.{u2}) {S : Type.{u3}} [_inst_1 : Fintype.{u1} m] [_inst_2 : DecidableEq.{succ u1} m] [_inst_3 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S] [_inst_5 : Algebra.{u2, u3} R S _inst_3 (CommSemiring.toSemiring.{u3} S _inst_4)] (A : Matrix.{u1, u1, u3} m m S), Eq.{succ (max u1 u3)} (Matrix.{u1, u1, u3} m m S) (coeFn.{max (succ (max u1 u2)) (succ (max u1 u3)), max (succ (max u1 u2)) (succ (max u1 u3))} (AlgHom.{u2, max u1 u2, max u1 u3} R (Matrix.{u1, u1, max u1 u2} m m (MvPolynomial.{u1, u2} (Prod.{u1, u1} m m) R _inst_3)) (Matrix.{u1, u1, u3} m m S) _inst_3 (Matrix.semiring.{max u1 u2, u1} m (MvPolynomial.{u1, u2} (Prod.{u1, u1} m m) R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} (Prod.{u1, u1} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R (Prod.{u1, u1} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.semiring.{u3, u1} m S (CommSemiring.toSemiring.{u3} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.algebra.{max u1 u2, u1, u2} m R (MvPolynomial.{u1, u2} (Prod.{u1, u1} m m) R _inst_3) _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} (Prod.{u1, u1} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R (Prod.{u1, u1} m m) _inst_3)) (MvPolynomial.algebra.{u2, u2, u1} R R (Prod.{u1, u1} m m) _inst_3 _inst_3 (Algebra.id.{u2} R _inst_3))) (Matrix.algebra.{u3, u1, u2} m R S _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{u3} S _inst_4) _inst_5)) (fun (_x : AlgHom.{u2, max u1 u2, max u1 u3} R (Matrix.{u1, u1, max u1 u2} m m (MvPolynomial.{u1, u2} (Prod.{u1, u1} m m) R _inst_3)) (Matrix.{u1, u1, u3} m m S) _inst_3 (Matrix.semiring.{max u1 u2, u1} m (MvPolynomial.{u1, u2} (Prod.{u1, u1} m m) R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} (Prod.{u1, u1} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R (Prod.{u1, u1} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.semiring.{u3, u1} m S (CommSemiring.toSemiring.{u3} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.algebra.{max u1 u2, u1, u2} m R (MvPolynomial.{u1, u2} (Prod.{u1, u1} m m) R _inst_3) _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} (Prod.{u1, u1} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R (Prod.{u1, u1} m m) _inst_3)) (MvPolynomial.algebra.{u2, u2, u1} R R (Prod.{u1, u1} m m) _inst_3 _inst_3 (Algebra.id.{u2} R _inst_3))) (Matrix.algebra.{u3, u1, u2} m R S _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{u3} S _inst_4) _inst_5)) => (Matrix.{u1, u1, max u1 u2} m m (MvPolynomial.{u1, u2} (Prod.{u1, u1} m m) R _inst_3)) -> (Matrix.{u1, u1, u3} m m S)) ([anonymous].{u2, max u1 u2, max u1 u3} R (Matrix.{u1, u1, max u1 u2} m m (MvPolynomial.{u1, u2} (Prod.{u1, u1} m m) R _inst_3)) (Matrix.{u1, u1, u3} m m S) _inst_3 (Matrix.semiring.{max u1 u2, u1} m (MvPolynomial.{u1, u2} (Prod.{u1, u1} m m) R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} (Prod.{u1, u1} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R (Prod.{u1, u1} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.semiring.{u3, u1} m S (CommSemiring.toSemiring.{u3} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.algebra.{max u1 u2, u1, u2} m R (MvPolynomial.{u1, u2} (Prod.{u1, u1} m m) R _inst_3) _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} (Prod.{u1, u1} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R (Prod.{u1, u1} m m) _inst_3)) (MvPolynomial.algebra.{u2, u2, u1} R R (Prod.{u1, u1} m m) _inst_3 _inst_3 (Algebra.id.{u2} R _inst_3))) (Matrix.algebra.{u3, u1, u2} m R S _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{u3} S _inst_4) _inst_5)) (AlgHom.mapMatrix.{max u1 u2, u3, u1, u2} m R (MvPolynomial.{u1, u2} (Prod.{u1, u1} m m) R _inst_3) S _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} (Prod.{u1, u1} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R (Prod.{u1, u1} m m) _inst_3)) (CommSemiring.toSemiring.{u3} S _inst_4) (MvPolynomial.algebra.{u2, u2, u1} R R (Prod.{u1, u1} m m) _inst_3 _inst_3 (Algebra.id.{u2} R _inst_3)) _inst_5 (MvPolynomial.aeval.{u2, u3, u1} R S (Prod.{u1, u1} m m) _inst_3 _inst_4 _inst_5 (fun (p : Prod.{u1, u1} m m) => A (Prod.fst.{u1, u1} m m p) (Prod.snd.{u1, u1} m m p)))) (Matrix.mvPolynomialX.{u1, u1, u2} m m R _inst_3)) A
 but is expected to have type
-  forall {m : Type.{u3}} (R : Type.{u2}) {S : Type.{u1}} [_inst_1 : Fintype.{u3} m] [_inst_2 : DecidableEq.{succ u3} m] [_inst_3 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u1} S] [_inst_5 : Algebra.{u2, u1} R S _inst_3 (CommSemiring.toSemiring.{u1} S _inst_4)] (A : Matrix.{u3, u3, u1} m m S), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) => Matrix.{u3, u3, u1} m m S) (Matrix.mvPolynomialX.{u3, u3, u2} m m R _inst_3)) (FunLike.coe.{max (max (max (succ u3) (succ u1)) (succ u2)) (succ u3), max (succ u3) (succ u2), max (succ u1) (succ u3)} (AlgHom.{u2, max u3 u2, max u1 u3} R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.{u3, u3, u1} m m S) _inst_3 (Matrix.semiring.{max u3 u2, u3} m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.instAlgebraMatrixSemiring.{max u3 u2, u3, u2} m R (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) (MvPolynomial.algebra.{u2, u2, u3} R R (Prod.{u3, u3} m m) _inst_3 _inst_3 (Algebra.id.{u2} R _inst_3))) (Matrix.instAlgebraMatrixSemiring.{u1, u3, u2} m R S _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{u1} S _inst_4) _inst_5)) (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (fun (_x : Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) => Matrix.{u3, u3, u1} m m S) _x) (SMulHomClass.toFunLike.{max (max (max u3 u1) u2) u3, u2, max u3 u2, max u1 u3} (AlgHom.{u2, max u3 u2, max u1 u3} R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.{u3, u3, u1} m m S) _inst_3 (Matrix.semiring.{max u3 u2, u3} m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.instAlgebraMatrixSemiring.{max u3 u2, u3, u2} m R (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) (MvPolynomial.algebra.{u2, u2, u3} R R (Prod.{u3, u3} m m) _inst_3 _inst_3 (Algebra.id.{u2} R _inst_3))) (Matrix.instAlgebraMatrixSemiring.{u1, u3, u2} m R S _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{u1} S _inst_4) _inst_5)) R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.{u3, u3, u1} m m S) (SMulZeroClass.toSMul.{u2, max u3 u2} R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (AddMonoid.toZero.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (AddCommMonoid.toAddMonoid.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Semiring.toNonAssocSemiring.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.semiring.{max u3 u2, u3} m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b))))))) (DistribSMul.toSMulZeroClass.{u2, max u3 u2} R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (AddMonoid.toAddZeroClass.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (AddCommMonoid.toAddMonoid.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Semiring.toNonAssocSemiring.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.semiring.{max u3 u2, u3} m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b))))))) (DistribMulAction.toDistribSMul.{u2, max u3 u2} R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Semiring.toNonAssocSemiring.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.semiring.{max u3 u2, u3} m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)))))) (Module.toDistribMulAction.{u2, max u3 u2} R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Semiring.toNonAssocSemiring.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.semiring.{max u3 u2, u3} m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b))))) (Algebra.toModule.{u2, max u3 u2} R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) _inst_3 (Matrix.semiring.{max u3 u2, u3} m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.instAlgebraMatrixSemiring.{max u3 u2, u3, u2} m R (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) (MvPolynomial.algebra.{u2, u2, u3} R R (Prod.{u3, u3} m m) _inst_3 _inst_3 (Algebra.id.{u2} R _inst_3)))))))) (SMulZeroClass.toSMul.{u2, max u1 u3} R (Matrix.{u3, u3, u1} m m S) (AddMonoid.toZero.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (AddCommMonoid.toAddMonoid.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (Semiring.toNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u3} R (Matrix.{u3, u3, u1} m m S) (AddMonoid.toAddZeroClass.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (AddCommMonoid.toAddMonoid.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (Semiring.toNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u3} R (Matrix.{u3, u3, u1} m m S) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (Semiring.toNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)))))) (Module.toDistribMulAction.{u2, max u1 u3} R (Matrix.{u3, u3, u1} m m S) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (Semiring.toNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b))))) (Algebra.toModule.{u2, max u1 u3} R (Matrix.{u3, u3, u1} m m S) _inst_3 (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.instAlgebraMatrixSemiring.{u1, u3, u2} m R S _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{u1} S _inst_4) _inst_5)))))) (DistribMulActionHomClass.toSMulHomClass.{max (max (max u3 u1) u2) u3, u2, max u3 u2, max u1 u3} (AlgHom.{u2, max u3 u2, max u1 u3} R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.{u3, u3, u1} m m S) _inst_3 (Matrix.semiring.{max u3 u2, u3} m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.instAlgebraMatrixSemiring.{max u3 u2, u3, u2} m R (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) (MvPolynomial.algebra.{u2, u2, u3} R R (Prod.{u3, u3} m m) _inst_3 _inst_3 (Algebra.id.{u2} R _inst_3))) (Matrix.instAlgebraMatrixSemiring.{u1, u3, u2} m R S _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{u1} S _inst_4) _inst_5)) R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.{u3, u3, u1} m m S) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Semiring.toNonAssocSemiring.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.semiring.{max u3 u2, u3} m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)))))) (AddCommMonoid.toAddMonoid.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (Semiring.toNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)))))) (Module.toDistribMulAction.{u2, max u3 u2} R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Semiring.toNonAssocSemiring.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.semiring.{max u3 u2, u3} m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b))))) (Algebra.toModule.{u2, max u3 u2} R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) _inst_3 (Matrix.semiring.{max u3 u2, u3} m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.instAlgebraMatrixSemiring.{max u3 u2, u3, u2} m R (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) (MvPolynomial.algebra.{u2, u2, u3} R R (Prod.{u3, u3} m m) _inst_3 _inst_3 (Algebra.id.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, max u1 u3} R (Matrix.{u3, u3, u1} m m S) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (Semiring.toNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b))))) (Algebra.toModule.{u2, max u1 u3} R (Matrix.{u3, u3, u1} m m S) _inst_3 (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.instAlgebraMatrixSemiring.{u1, u3, u2} m R S _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{u1} S _inst_4) _inst_5))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max (max u3 u1) u2) u3, u2, max u3 u2, max u1 u3} (AlgHom.{u2, max u3 u2, max u1 u3} R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.{u3, u3, u1} m m S) _inst_3 (Matrix.semiring.{max u3 u2, u3} m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.instAlgebraMatrixSemiring.{max u3 u2, u3, u2} m R (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) (MvPolynomial.algebra.{u2, u2, u3} R R (Prod.{u3, u3} m m) _inst_3 _inst_3 (Algebra.id.{u2} R _inst_3))) (Matrix.instAlgebraMatrixSemiring.{u1, u3, u2} m R S _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{u1} S _inst_4) _inst_5)) R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.{u3, u3, u1} m m S) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) 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(CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Semiring.toNonAssocSemiring.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.semiring.{max u3 u2, u3} m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b))))) (Algebra.toModule.{u2, max u3 u2} R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) _inst_3 (Matrix.semiring.{max u3 u2, u3} m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) 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(Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b))))) (Algebra.toModule.{u2, max u1 u3} R (Matrix.{u3, u3, u1} m m S) _inst_3 (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.instAlgebraMatrixSemiring.{u1, u3, u2} m R S _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{u1} S _inst_4) _inst_5))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u3 u2, max u1 u3, max (max (max u3 u1) u2) u3} R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.{u3, u3, u1} m m S) _inst_3 (Matrix.semiring.{max u3 u2, u3} m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) 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a b) _inst_3 (CommSemiring.toSemiring.{u1} S _inst_4) _inst_5)) (AlgHom.algHomClass.{u2, max u3 u2, max u1 u3} R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.{u3, u3, u1} m m S) _inst_3 (Matrix.semiring.{max u3 u2, u3} m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.instAlgebraMatrixSemiring.{max u3 u2, u3, u2} m R (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) (MvPolynomial.algebra.{u2, u2, u3} R R (Prod.{u3, u3} m m) _inst_3 _inst_3 (Algebra.id.{u2} R _inst_3))) (Matrix.instAlgebraMatrixSemiring.{u1, u3, u2} m R S _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{u1} S _inst_4) _inst_5)))))) (AlgHom.mapMatrix.{max u3 u2, u1, u3, u2} m R (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) S _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) (CommSemiring.toSemiring.{u1} S _inst_4) (MvPolynomial.algebra.{u2, u2, u3} R R (Prod.{u3, u3} m m) _inst_3 _inst_3 (Algebra.id.{u2} R _inst_3)) _inst_5 (MvPolynomial.aeval.{u2, u1, u3} R S (Prod.{u3, u3} m m) _inst_3 _inst_4 _inst_5 (fun (p : Prod.{u3, u3} m m) => A (Prod.fst.{u3, u3} m m p) (Prod.snd.{u3, u3} m m p)))) (Matrix.mvPolynomialX.{u3, u3, u2} m m R _inst_3)) A
+  forall {m : Type.{u3}} (R : Type.{u2}) {S : Type.{u1}} [_inst_1 : Fintype.{u3} m] [_inst_2 : DecidableEq.{succ u3} m] [_inst_3 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u1} S] [_inst_5 : Algebra.{u2, u1} R S _inst_3 (CommSemiring.toSemiring.{u1} S _inst_4)] (A : Matrix.{u3, u3, u1} m m S), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) => Matrix.{u3, u3, u1} m m S) (Matrix.mvPolynomialX.{u3, u3, u2} m m R _inst_3)) (FunLike.coe.{max (max (max (succ u3) (succ u1)) (succ u2)) (succ u3), max (succ u3) (succ u2), max (succ u1) (succ u3)} (AlgHom.{u2, max u3 u2, max u1 u3} R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.{u3, u3, u1} m m S) _inst_3 (Matrix.semiring.{max u3 u2, u3} m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.instAlgebraMatrixSemiring.{max u3 u2, u3, u2} m R (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) (MvPolynomial.algebra.{u2, u2, u3} R R (Prod.{u3, u3} m m) _inst_3 _inst_3 (Algebra.id.{u2} R _inst_3))) (Matrix.instAlgebraMatrixSemiring.{u1, u3, u2} m R S _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{u1} S _inst_4) _inst_5)) (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (fun (_x : Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m 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_inst_3 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) (MvPolynomial.algebra.{u2, u2, u3} R R (Prod.{u3, u3} m m) _inst_3 _inst_3 (Algebra.id.{u2} R _inst_3))) (Matrix.instAlgebraMatrixSemiring.{u1, u3, u2} m R S _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{u1} S _inst_4) _inst_5)) R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.{u3, u3, u1} m m S) (SMulZeroClass.toSMul.{u2, max u3 u2} R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (AddMonoid.toZero.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (AddCommMonoid.toAddMonoid.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Semiring.toNonAssocSemiring.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.semiring.{max u3 u2, u3} m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b))))))) (DistribSMul.toSMulZeroClass.{u2, max u3 u2} R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (AddMonoid.toAddZeroClass.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (AddCommMonoid.toAddMonoid.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Semiring.toNonAssocSemiring.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.semiring.{max u3 u2, u3} m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b))))))) (DistribMulAction.toDistribSMul.{u2, max u3 u2} R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Semiring.toNonAssocSemiring.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.semiring.{max u3 u2, u3} m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)))))) (Module.toDistribMulAction.{u2, max u3 u2} R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Semiring.toNonAssocSemiring.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.semiring.{max u3 u2, u3} m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b))))) (Algebra.toModule.{u2, max u3 u2} R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) _inst_3 (Matrix.semiring.{max u3 u2, u3} m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.instAlgebraMatrixSemiring.{max u3 u2, u3, u2} m R (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) (MvPolynomial.algebra.{u2, u2, u3} R R (Prod.{u3, u3} m m) _inst_3 _inst_3 (Algebra.id.{u2} R _inst_3)))))))) (SMulZeroClass.toSMul.{u2, max u1 u3} R (Matrix.{u3, u3, u1} m m S) (AddMonoid.toZero.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (AddCommMonoid.toAddMonoid.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (Semiring.toNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u3} R (Matrix.{u3, u3, u1} m m S) (AddMonoid.toAddZeroClass.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (AddCommMonoid.toAddMonoid.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (Semiring.toNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u3} R (Matrix.{u3, u3, u1} m m S) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (Semiring.toNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)))))) (Module.toDistribMulAction.{u2, max u1 u3} R (Matrix.{u3, u3, u1} m m S) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (Semiring.toNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b))))) (Algebra.toModule.{u2, max u1 u3} R (Matrix.{u3, u3, u1} m m S) _inst_3 (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.instAlgebraMatrixSemiring.{u1, u3, u2} m R S _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{u1} S _inst_4) _inst_5)))))) (DistribMulActionHomClass.toSMulHomClass.{max (max (max u3 u1) u2) u3, u2, max u3 u2, max u1 u3} (AlgHom.{u2, max u3 u2, max u1 u3} R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.{u3, u3, u1} m m S) _inst_3 (Matrix.semiring.{max u3 u2, u3} m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.instAlgebraMatrixSemiring.{max u3 u2, u3, u2} m R (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) (MvPolynomial.algebra.{u2, u2, u3} R R (Prod.{u3, u3} m m) _inst_3 _inst_3 (Algebra.id.{u2} R _inst_3))) (Matrix.instAlgebraMatrixSemiring.{u1, u3, u2} m R S _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{u1} S _inst_4) _inst_5)) R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.{u3, u3, u1} m m S) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Semiring.toNonAssocSemiring.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.semiring.{max u3 u2, u3} m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)))))) (AddCommMonoid.toAddMonoid.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (Semiring.toNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)))))) (Module.toDistribMulAction.{u2, max u3 u2} R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Semiring.toNonAssocSemiring.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.semiring.{max u3 u2, u3} m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b))))) (Algebra.toModule.{u2, max u3 u2} R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) _inst_3 (Matrix.semiring.{max u3 u2, u3} m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.instAlgebraMatrixSemiring.{max u3 u2, u3, u2} m R (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) (MvPolynomial.algebra.{u2, u2, u3} R R (Prod.{u3, u3} m m) _inst_3 _inst_3 (Algebra.id.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, max u1 u3} R (Matrix.{u3, u3, u1} m m S) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (Semiring.toNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b))))) (Algebra.toModule.{u2, max u1 u3} R (Matrix.{u3, u3, u1} m m S) _inst_3 (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.instAlgebraMatrixSemiring.{u1, u3, u2} m R S _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{u1} S _inst_4) _inst_5))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max (max u3 u1) u2) u3, u2, max u3 u2, max u1 u3} (AlgHom.{u2, max u3 u2, max u1 u3} R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.{u3, u3, u1} m m S) _inst_3 (Matrix.semiring.{max u3 u2, u3} m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.instAlgebraMatrixSemiring.{max u3 u2, u3, u2} m R (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) (MvPolynomial.algebra.{u2, u2, u3} R R (Prod.{u3, u3} m m) _inst_3 _inst_3 (Algebra.id.{u2} R _inst_3))) (Matrix.instAlgebraMatrixSemiring.{u1, u3, u2} m R S _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{u1} S _inst_4) _inst_5)) R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.{u3, u3, u1} m m S) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Semiring.toNonAssocSemiring.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.semiring.{max u3 u2, u3} m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (Semiring.toNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)))) (Module.toDistribMulAction.{u2, max u3 u2} R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Semiring.toNonAssocSemiring.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.semiring.{max u3 u2, u3} m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b))))) (Algebra.toModule.{u2, max u3 u2} R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) _inst_3 (Matrix.semiring.{max u3 u2, u3} m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.instAlgebraMatrixSemiring.{max u3 u2, u3, u2} m R (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) (MvPolynomial.algebra.{u2, u2, u3} R R (Prod.{u3, u3} m m) _inst_3 _inst_3 (Algebra.id.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, max u1 u3} R (Matrix.{u3, u3, u1} m m S) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (Semiring.toNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b))))) (Algebra.toModule.{u2, max u1 u3} R (Matrix.{u3, u3, u1} m m S) _inst_3 (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.instAlgebraMatrixSemiring.{u1, u3, u2} m R S _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{u1} S _inst_4) _inst_5))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u3 u2, max u1 u3, max (max (max u3 u1) u2) u3} R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.{u3, u3, u1} m m S) _inst_3 (Matrix.semiring.{max u3 u2, u3} m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.instAlgebraMatrixSemiring.{max u3 u2, u3, u2} m R (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) (MvPolynomial.algebra.{u2, u2, u3} R R (Prod.{u3, u3} m m) _inst_3 _inst_3 (Algebra.id.{u2} R _inst_3))) (Matrix.instAlgebraMatrixSemiring.{u1, u3, u2} m R S _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{u1} S _inst_4) _inst_5) (AlgHom.{u2, max u3 u2, max u1 u3} R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.{u3, u3, u1} m m S) _inst_3 (Matrix.semiring.{max u3 u2, u3} m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.instAlgebraMatrixSemiring.{max u3 u2, u3, u2} m R (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) (MvPolynomial.algebra.{u2, u2, u3} R R (Prod.{u3, u3} m m) _inst_3 _inst_3 (Algebra.id.{u2} R _inst_3))) (Matrix.instAlgebraMatrixSemiring.{u1, u3, u2} m R S _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{u1} S _inst_4) _inst_5)) (AlgHom.algHomClass.{u2, max u3 u2, max u1 u3} R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.{u3, u3, u1} m m S) _inst_3 (Matrix.semiring.{max u3 u2, u3} m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.instAlgebraMatrixSemiring.{max u3 u2, u3, u2} m R (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) (MvPolynomial.algebra.{u2, u2, u3} R R (Prod.{u3, u3} m m) _inst_3 _inst_3 (Algebra.id.{u2} R _inst_3))) (Matrix.instAlgebraMatrixSemiring.{u1, u3, u2} m R S _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{u1} S _inst_4) _inst_5)))))) (AlgHom.mapMatrix.{max u3 u2, u1, u3, u2} m R (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) S _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) (CommSemiring.toSemiring.{u1} S _inst_4) (MvPolynomial.algebra.{u2, u2, u3} R R (Prod.{u3, u3} m m) _inst_3 _inst_3 (Algebra.id.{u2} R _inst_3)) _inst_5 (MvPolynomial.aeval.{u2, u1, u3} R S (Prod.{u3, u3} m m) _inst_3 _inst_4 _inst_5 (fun (p : Prod.{u3, u3} m m) => A (Prod.fst.{u3, u3} m m p) (Prod.snd.{u3, u3} m m p)))) (Matrix.mvPolynomialX.{u3, u3, u2} m m R _inst_3)) A
 Case conversion may be inaccurate. Consider using '#align matrix.mv_polynomial_X_map_matrix_aeval Matrix.mvPolynomialX_mapMatrix_aevalₓ'. -/
 /-- A variant of `matrix.mv_polynomial_X_map_eval₂` with a bundled `alg_hom` on the LHS. -/
 theorem mvPolynomialX_mapMatrix_aeval [Fintype m] [DecidableEq m] [CommSemiring R] [CommSemiring S]

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

@@ -76,7 +76,7 @@ theorem mvPolynomialX_map_eval₂ [CommSemiring R] [CommSemiring S] (f : R →+*
 lean 3 declaration is
   forall {m : Type.{u1}} {R : Type.{u2}} [_inst_1 : Fintype.{u1} m] [_inst_2 : DecidableEq.{succ u1} m] [_inst_3 : CommSemiring.{u2} R] (A : Matrix.{u1, u1, u2} m m R), Eq.{succ (max u1 u2)} (Matrix.{u1, u1, u2} m m R) (coeFn.{succ (max u1 u2), succ (max u1 u2)} (RingHom.{max u1 u2, max u1 u2} (Matrix.{u1, u1, max u1 u2} m m (MvPolynomial.{u1, u2} (Prod.{u1, u1} m m) R _inst_3)) (Matrix.{u1, u1, u2} m m R) (Matrix.nonAssocSemiring.{max u1 u2, u1} m (MvPolynomial.{u1, u2} (Prod.{u1, u1} m m) R _inst_3) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} (Prod.{u1, u1} m m) R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} (Prod.{u1, u1} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R (Prod.{u1, u1} m m) _inst_3))) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.nonAssocSemiring.{u2, u1} m R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b))) (fun (_x : RingHom.{max u1 u2, max u1 u2} (Matrix.{u1, u1, max u1 u2} m m (MvPolynomial.{u1, u2} (Prod.{u1, u1} m m) R _inst_3)) (Matrix.{u1, u1, u2} m m R) (Matrix.nonAssocSemiring.{max u1 u2, u1} m (MvPolynomial.{u1, u2} (Prod.{u1, u1} m m) R _inst_3) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} (Prod.{u1, u1} m m) R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} (Prod.{u1, u1} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R (Prod.{u1, u1} m m) _inst_3))) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.nonAssocSemiring.{u2, u1} m R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b))) => (Matrix.{u1, u1, max u1 u2} m m (MvPolynomial.{u1, u2} (Prod.{u1, u1} m m) R _inst_3)) -> (Matrix.{u1, u1, u2} m m R)) (RingHom.hasCoeToFun.{max u1 u2, max u1 u2} (Matrix.{u1, u1, max u1 u2} m m (MvPolynomial.{u1, u2} (Prod.{u1, u1} m m) R _inst_3)) (Matrix.{u1, u1, u2} m m R) (Matrix.nonAssocSemiring.{max u1 u2, u1} m (MvPolynomial.{u1, u2} (Prod.{u1, u1} m m) R _inst_3) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} (Prod.{u1, u1} m m) R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} (Prod.{u1, u1} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R (Prod.{u1, u1} m m) _inst_3))) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.nonAssocSemiring.{u2, u1} m R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b))) (RingHom.mapMatrix.{max u1 u2, u2, u1} m (MvPolynomial.{u1, u2} (Prod.{u1, u1} m m) R _inst_3) R _inst_1 (fun (a : m) (b : m) => _inst_2 a b) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} (Prod.{u1, u1} m m) R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} (Prod.{u1, u1} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R (Prod.{u1, u1} m m) _inst_3))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (MvPolynomial.eval.{u2, u1} R (Prod.{u1, u1} m m) _inst_3 (fun (p : Prod.{u1, u1} m m) => A (Prod.fst.{u1, u1} m m p) (Prod.snd.{u1, u1} m m p)))) (Matrix.mvPolynomialX.{u1, u1, u2} m m R _inst_3)) A
 but is expected to have type
-  forall {m : Type.{u2}} {R : Type.{u1}} [_inst_1 : Fintype.{u2} m] [_inst_2 : DecidableEq.{succ u2} m] [_inst_3 : CommSemiring.{u1} R] (A : Matrix.{u2, u2, u1} m m R), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Matrix.{u2, u2, max u2 u1} m m (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3)) => Matrix.{u2, u2, u1} m m R) (Matrix.mvPolynomialX.{u2, u2, u1} m m R _inst_3)) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), max (succ u1) (succ u2)} (RingHom.{max u2 u1, max u1 u2} (Matrix.{u2, u2, max u2 u1} m m (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3)) (Matrix.{u2, u2, u1} m m R) (Matrix.nonAssocSemiring.{max u2 u1, u2} m (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R (Prod.{u2, u2} m m) _inst_3))) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.nonAssocSemiring.{u1, u2} m R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b))) (Matrix.{u2, u2, max u2 u1} m m (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3)) (fun (_x : Matrix.{u2, u2, max u2 u1} m m (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Matrix.{u2, u2, max u2 u1} m m (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3)) => Matrix.{u2, u2, u1} m m R) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, max u1 u2} (RingHom.{max u2 u1, max u1 u2} (Matrix.{u2, u2, max u2 u1} m m (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3)) (Matrix.{u2, u2, u1} m m R) (Matrix.nonAssocSemiring.{max u2 u1, u2} m (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R (Prod.{u2, u2} m m) _inst_3))) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.nonAssocSemiring.{u1, u2} m R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b))) (Matrix.{u2, u2, max u2 u1} m m (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3)) (Matrix.{u2, u2, u1} m m R) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (Matrix.{u2, u2, max u2 u1} m m (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (Matrix.{u2, u2, max u2 u1} m m (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3)) (Matrix.nonAssocSemiring.{max u2 u1, u2} m (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R (Prod.{u2, u2} m m) _inst_3))) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (Matrix.{u2, u2, u1} m m R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (Matrix.{u2, u2, u1} m m R) (Matrix.nonAssocSemiring.{u1, u2} m R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, max u2 u1, max u1 u2} (RingHom.{max u2 u1, max u1 u2} (Matrix.{u2, u2, max u2 u1} m m (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3)) (Matrix.{u2, u2, u1} m m R) (Matrix.nonAssocSemiring.{max u2 u1, u2} m (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R (Prod.{u2, u2} m m) _inst_3))) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.nonAssocSemiring.{u1, u2} m R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b))) (Matrix.{u2, u2, max u2 u1} m m (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3)) (Matrix.{u2, u2, u1} m m R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (Matrix.{u2, u2, max u2 u1} m m (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3)) (Matrix.nonAssocSemiring.{max u2 u1, u2} m (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R (Prod.{u2, u2} m m) _inst_3))) _inst_1 (fun (a : m) (b : m) => _inst_2 a b))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (Matrix.{u2, u2, u1} m m R) (Matrix.nonAssocSemiring.{u1, u2} m R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, max u2 u1, max u1 u2} (RingHom.{max u2 u1, max u1 u2} (Matrix.{u2, u2, max u2 u1} m m (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3)) (Matrix.{u2, u2, u1} m m R) (Matrix.nonAssocSemiring.{max u2 u1, u2} m (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R (Prod.{u2, u2} m m) _inst_3))) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.nonAssocSemiring.{u1, u2} m R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b))) (Matrix.{u2, u2, max u2 u1} m m (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3)) (Matrix.{u2, u2, u1} m m R) (Matrix.nonAssocSemiring.{max u2 u1, u2} m (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R (Prod.{u2, u2} m m) _inst_3))) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.nonAssocSemiring.{u1, u2} m R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (RingHom.instRingHomClassRingHom.{max u2 u1, max u1 u2} (Matrix.{u2, u2, max u2 u1} m m (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3)) (Matrix.{u2, u2, u1} m m R) (Matrix.nonAssocSemiring.{max u2 u1, u2} m (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R (Prod.{u2, u2} m m) _inst_3))) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.nonAssocSemiring.{u1, u2} m R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)))))) (RingHom.mapMatrix.{max u2 u1, u1, u2} m (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3) R _inst_1 (fun (a : m) (b : m) => _inst_2 a b) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R (Prod.{u2, u2} m m) _inst_3))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (MvPolynomial.eval.{u1, u2} R (Prod.{u2, u2} m m) _inst_3 (fun (p : Prod.{u2, u2} m m) => A (Prod.fst.{u2, u2} m m p) (Prod.snd.{u2, u2} m m p)))) (Matrix.mvPolynomialX.{u2, u2, u1} m m R _inst_3)) A
+  forall {m : Type.{u2}} {R : Type.{u1}} [_inst_1 : Fintype.{u2} m] [_inst_2 : DecidableEq.{succ u2} m] [_inst_3 : CommSemiring.{u1} R] (A : Matrix.{u2, u2, u1} m m R), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Matrix.{u2, u2, max u2 u1} m m (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3)) => Matrix.{u2, u2, u1} m m R) (Matrix.mvPolynomialX.{u2, u2, u1} m m R _inst_3)) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), max (succ u1) (succ u2)} (RingHom.{max u2 u1, max u1 u2} (Matrix.{u2, u2, max u2 u1} m m (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3)) (Matrix.{u2, u2, u1} m m R) (Matrix.nonAssocSemiring.{max u2 u1, u2} m (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R (Prod.{u2, u2} m m) _inst_3))) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.nonAssocSemiring.{u1, u2} m R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b))) (Matrix.{u2, u2, max u2 u1} m m (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3)) (fun (_x : Matrix.{u2, u2, max u2 u1} m m (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Matrix.{u2, u2, max u2 u1} m m (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3)) => Matrix.{u2, u2, u1} m m R) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, max u1 u2} (RingHom.{max u2 u1, max u1 u2} (Matrix.{u2, u2, max u2 u1} m m (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3)) (Matrix.{u2, u2, u1} m m R) (Matrix.nonAssocSemiring.{max u2 u1, u2} m (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3) 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(MvPolynomial.commSemiring.{u1, u2} R (Prod.{u2, u2} m m) _inst_3))) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.nonAssocSemiring.{u1, u2} m R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b))) (Matrix.{u2, u2, max u2 u1} m m (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3)) (Matrix.{u2, u2, u1} m m R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (Matrix.{u2, u2, max u2 u1} m m (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3)) (Matrix.nonAssocSemiring.{max u2 u1, u2} m (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R (Prod.{u2, u2} m m) _inst_3))) _inst_1 (fun (a : m) (b : m) => _inst_2 a b))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (Matrix.{u2, u2, u1} m m R) (Matrix.nonAssocSemiring.{u1, u2} m R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, max u2 u1, max u1 u2} (RingHom.{max u2 u1, max u1 u2} (Matrix.{u2, u2, max u2 u1} m m (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3)) (Matrix.{u2, u2, u1} m m R) (Matrix.nonAssocSemiring.{max u2 u1, u2} m (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R (Prod.{u2, u2} m m) _inst_3))) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.nonAssocSemiring.{u1, u2} m R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b))) (Matrix.{u2, u2, max u2 u1} m m (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3)) (Matrix.{u2, u2, u1} m m R) (Matrix.nonAssocSemiring.{max u2 u1, u2} m (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R (Prod.{u2, u2} m m) _inst_3))) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.nonAssocSemiring.{u1, u2} m R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (RingHom.instRingHomClassRingHom.{max u2 u1, max u1 u2} (Matrix.{u2, u2, max u2 u1} m m (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3)) (Matrix.{u2, u2, u1} m m R) (Matrix.nonAssocSemiring.{max u2 u1, u2} m (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R _inst_3) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R 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p)))) (Matrix.mvPolynomialX.{u2, u2, u1} m m R _inst_3)) A
 Case conversion may be inaccurate. Consider using '#align matrix.mv_polynomial_X_map_matrix_eval Matrix.mvPolynomialX_mapMatrix_evalₓ'. -/
 /-- A variant of `matrix.mv_polynomial_X_map_eval₂` with a bundled `ring_hom` on the LHS. -/
 theorem mvPolynomialX_mapMatrix_eval [Fintype m] [DecidableEq m] [CommSemiring R]

mathlib commit https://github.com/leanprover-community/mathlib/commit/52932b3a083d4142e78a15dc928084a22fea9ba0

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Eric Wieser
 
 ! This file was ported from Lean 3 source module linear_algebra.matrix.mv_polynomial
-! leanprover-community/mathlib commit 3e068ece210655b7b9a9477c3aff38a492400aa1
+! leanprover-community/mathlib commit 86d1873c01a723aba6788f0b9051ae3d23b4c1c3
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -15,6 +15,9 @@ import Mathbin.Data.MvPolynomial.CommRing
 /-!
 # Matrices of multivariate polynomials
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 In this file, we prove results about matrices over an mv_polynomial ring.
 In particular, we provide `matrix.mv_polynomial_X` which associates every entry of a matrix with a
 unique variable.

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

@@ -31,11 +31,19 @@ namespace Matrix
 
 variable (m n R)
 
+#print Matrix.mvPolynomialX /-
 /-- The matrix with variable `X (i,j)` at location `(i,j)`. -/
 noncomputable def mvPolynomialX [CommSemiring R] : Matrix m n (MvPolynomial (m × n) R) :=
   of fun i j => MvPolynomial.X (i, j)
 #align matrix.mv_polynomial_X Matrix.mvPolynomialX
+-/
 
+/- warning: matrix.mv_polynomial_X_apply -> Matrix.mvPolynomialX_apply is a dubious translation:
+lean 3 declaration is
+  forall (m : Type.{u1}) (n : Type.{u2}) (R : Type.{u3}) [_inst_1 : CommSemiring.{u3} R] (i : m) (j : n), Eq.{max (succ (max u1 u2)) (succ u3)} (MvPolynomial.{max u1 u2, u3} (Prod.{u1, u2} m n) R _inst_1) (Matrix.mvPolynomialX.{u1, u2, u3} m n R _inst_1 i j) (MvPolynomial.X.{u3, max u1 u2} R (Prod.{u1, u2} m n) _inst_1 (Prod.mk.{u1, u2} m n i j))
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align matrix.mv_polynomial_X_apply Matrix.mvPolynomialX_applyₓ'. -/
 -- TODO: set as an equation lemma for `mv_polynomial_X`, see mathlib4#3024
 @[simp]
 theorem mvPolynomialX_apply [CommSemiring R] (i j) :
@@ -45,6 +53,12 @@ theorem mvPolynomialX_apply [CommSemiring R] (i j) :
 
 variable {m n R S}
 
+/- warning: matrix.mv_polynomial_X_map_eval₂ -> Matrix.mvPolynomialX_map_eval₂ is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.mv_polynomial_X_map_eval₂ Matrix.mvPolynomialX_map_eval₂ₓ'. -/
 /-- Any matrix `A` can be expressed as the evaluation of `matrix.mv_polynomial_X`.
 
 This is of particular use when `mv_polynomial (m × n) R` is an integral domain but `S` is
@@ -55,6 +69,12 @@ theorem mvPolynomialX_map_eval₂ [CommSemiring R] [CommSemiring S] (f : R →+*
   ext fun i j => MvPolynomial.eval₂_X _ (fun p : m × n => A p.1 p.2) (i, j)
 #align matrix.mv_polynomial_X_map_eval₂ Matrix.mvPolynomialX_map_eval₂
 
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+Case conversion may be inaccurate. Consider using '#align matrix.mv_polynomial_X_map_matrix_eval Matrix.mvPolynomialX_mapMatrix_evalₓ'. -/
 /-- A variant of `matrix.mv_polynomial_X_map_eval₂` with a bundled `ring_hom` on the LHS. -/
 theorem mvPolynomialX_mapMatrix_eval [Fintype m] [DecidableEq m] [CommSemiring R]
     (A : Matrix m m R) :
@@ -64,6 +84,12 @@ theorem mvPolynomialX_mapMatrix_eval [Fintype m] [DecidableEq m] [CommSemiring R
 
 variable (R)
 
+/- warning: matrix.mv_polynomial_X_map_matrix_aeval -> Matrix.mvPolynomialX_mapMatrix_aeval is a dubious translation:
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u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.instAlgebraMatrixSemiring.{max u3 u2, u3, u2} m R (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) (MvPolynomial.algebra.{u2, u2, u3} R R (Prod.{u3, u3} m m) _inst_3 _inst_3 (Algebra.id.{u2} R _inst_3)))))))) (SMulZeroClass.toSMul.{u2, max u1 u3} R (Matrix.{u3, u3, u1} m m S) (AddMonoid.toZero.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (AddCommMonoid.toAddMonoid.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (Semiring.toNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u3} R (Matrix.{u3, u3, u1} m m S) (AddMonoid.toAddZeroClass.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (AddCommMonoid.toAddMonoid.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (Semiring.toNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u3} R (Matrix.{u3, u3, u1} m m S) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{max u1 u3} (Matrix.{u3, u3, u1} m m S) 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m) => _inst_2 a b)) (Matrix.instAlgebraMatrixSemiring.{u1, u3, u2} m R S _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{u1} S _inst_4) _inst_5)))))) (DistribMulActionHomClass.toSMulHomClass.{max (max (max u3 u1) u2) u3, u2, max u3 u2, max u1 u3} (AlgHom.{u2, max u3 u2, max u1 u3} R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.{u3, u3, u1} m m S) _inst_3 (Matrix.semiring.{max u3 u2, u3} m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.instAlgebraMatrixSemiring.{max u3 u2, u3, u2} m R (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) (MvPolynomial.algebra.{u2, u2, u3} R R (Prod.{u3, u3} m m) _inst_3 _inst_3 (Algebra.id.{u2} R _inst_3))) (Matrix.instAlgebraMatrixSemiring.{u1, u3, u2} m R S _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{u1} S _inst_4) _inst_5)) R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.{u3, u3, u1} m m S) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (AddCommMonoid.toAddMonoid.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (Matrix.{u3, 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(Prod.{u3, u3} m m) R _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.instAlgebraMatrixSemiring.{max u3 u2, u3, u2} m R (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) (MvPolynomial.algebra.{u2, u2, u3} R R (Prod.{u3, u3} m m) _inst_3 _inst_3 (Algebra.id.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, max u1 u3} R (Matrix.{u3, u3, u1} m m S) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (Semiring.toNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b))))) (Algebra.toModule.{u2, max u1 u3} R (Matrix.{u3, u3, u1} m m S) _inst_3 (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.instAlgebraMatrixSemiring.{u1, u3, u2} m R S _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{u1} S _inst_4) _inst_5))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max (max u3 u1) u2) u3, u2, max u3 u2, max u1 u3} (AlgHom.{u2, max u3 u2, max u1 u3} R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.{u3, u3, u1} m m S) _inst_3 (Matrix.semiring.{max u3 u2, u3} m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.instAlgebraMatrixSemiring.{max u3 u2, u3, u2} m R (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) (MvPolynomial.algebra.{u2, u2, u3} R R (Prod.{u3, u3} m m) _inst_3 _inst_3 (Algebra.id.{u2} R _inst_3))) (Matrix.instAlgebraMatrixSemiring.{u1, u3, u2} m R S _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{u1} S _inst_4) _inst_5)) R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.{u3, u3, u1} m m S) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Semiring.toNonAssocSemiring.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.semiring.{max u3 u2, u3} m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (Semiring.toNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)))) (Module.toDistribMulAction.{u2, max u3 u2} R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Semiring.toNonAssocSemiring.{max u3 u2} (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.semiring.{max u3 u2, u3} m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b))))) (Algebra.toModule.{u2, max u3 u2} R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) _inst_3 (Matrix.semiring.{max u3 u2, u3} m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.instAlgebraMatrixSemiring.{max u3 u2, u3, u2} m R (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) (MvPolynomial.algebra.{u2, u2, u3} R R (Prod.{u3, u3} m m) _inst_3 _inst_3 (Algebra.id.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, max u1 u3} R (Matrix.{u3, u3, u1} m m S) (CommSemiring.toSemiring.{u2} R _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (Semiring.toNonAssocSemiring.{max u1 u3} (Matrix.{u3, u3, u1} m m S) (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b))))) (Algebra.toModule.{u2, max u1 u3} R (Matrix.{u3, u3, u1} m m S) _inst_3 (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.instAlgebraMatrixSemiring.{u1, u3, u2} m R S _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{u1} S _inst_4) _inst_5))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u3 u2, max u1 u3, max (max (max u3 u1) u2) u3} R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.{u3, u3, u1} m m S) _inst_3 (Matrix.semiring.{max u3 u2, u3} m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.instAlgebraMatrixSemiring.{max u3 u2, u3, u2} m R (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) (MvPolynomial.algebra.{u2, u2, u3} R R (Prod.{u3, u3} m m) _inst_3 _inst_3 (Algebra.id.{u2} R _inst_3))) (Matrix.instAlgebraMatrixSemiring.{u1, u3, u2} m R S _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{u1} S _inst_4) _inst_5) (AlgHom.{u2, max u3 u2, max u1 u3} R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.{u3, u3, u1} m m S) _inst_3 (Matrix.semiring.{max u3 u2, u3} m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.instAlgebraMatrixSemiring.{max u3 u2, u3, u2} m R (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) (MvPolynomial.algebra.{u2, u2, u3} R R (Prod.{u3, u3} m m) _inst_3 _inst_3 (Algebra.id.{u2} R _inst_3))) (Matrix.instAlgebraMatrixSemiring.{u1, u3, u2} m R S _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{u1} S _inst_4) _inst_5)) (AlgHom.algHomClass.{u2, max u3 u2, max u1 u3} R (Matrix.{u3, u3, max u3 u2} m m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3)) (Matrix.{u3, u3, u1} m m S) _inst_3 (Matrix.semiring.{max u3 u2, u3} m (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.semiring.{u1, u3} m S (CommSemiring.toSemiring.{u1} S _inst_4) _inst_1 (fun (a : m) (b : m) => _inst_2 a b)) (Matrix.instAlgebraMatrixSemiring.{max u3 u2, u3, u2} m R (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) (MvPolynomial.algebra.{u2, u2, u3} R R (Prod.{u3, u3} m m) _inst_3 _inst_3 (Algebra.id.{u2} R _inst_3))) (Matrix.instAlgebraMatrixSemiring.{u1, u3, u2} m R S _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{u1} S _inst_4) _inst_5)))))) (AlgHom.mapMatrix.{max u3 u2, u1, u3, u2} m R (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) S _inst_1 (fun (a : m) (b : m) => _inst_2 a b) _inst_3 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} (Prod.{u3, u3} m m) R _inst_3) (MvPolynomial.commSemiring.{u2, u3} R (Prod.{u3, u3} m m) _inst_3)) (CommSemiring.toSemiring.{u1} S _inst_4) (MvPolynomial.algebra.{u2, u2, u3} R R (Prod.{u3, u3} m m) _inst_3 _inst_3 (Algebra.id.{u2} R _inst_3)) _inst_5 (MvPolynomial.aeval.{u2, u1, u3} R S (Prod.{u3, u3} m m) _inst_3 _inst_4 _inst_5 (fun (p : Prod.{u3, u3} m m) => A (Prod.fst.{u3, u3} m m p) (Prod.snd.{u3, u3} m m p)))) (Matrix.mvPolynomialX.{u3, u3, u2} m m R _inst_3)) A
+Case conversion may be inaccurate. Consider using '#align matrix.mv_polynomial_X_map_matrix_aeval Matrix.mvPolynomialX_mapMatrix_aevalₓ'. -/
 /-- A variant of `matrix.mv_polynomial_X_map_eval₂` with a bundled `alg_hom` on the LHS. -/
 theorem mvPolynomialX_mapMatrix_aeval [Fintype m] [DecidableEq m] [CommSemiring R] [CommSemiring S]
     [Algebra R S] (A : Matrix m m S) :
@@ -73,6 +99,12 @@ theorem mvPolynomialX_mapMatrix_aeval [Fintype m] [DecidableEq m] [CommSemiring
 
 variable (m R)
 
+/- warning: matrix.det_mv_polynomial_X_ne_zero -> Matrix.det_mvPolynomialX_ne_zero is a dubious translation:
+lean 3 declaration is
+  forall (m : Type.{u1}) (R : Type.{u2}) [_inst_1 : DecidableEq.{succ u1} m] [_inst_2 : Fintype.{u1} m] [_inst_3 : CommRing.{u2} R] [_inst_4 : Nontrivial.{u2} R], Ne.{succ (max u1 u2)} (MvPolynomial.{u1, u2} (Prod.{u1, u1} m m) R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.det.{max u1 u2, u1} m (fun (a : m) (b : m) => _inst_1 a b) _inst_2 (MvPolynomial.{u1, u2} (Prod.{u1, u1} m m) R (CommRing.toCommSemiring.{u2} R _inst_3)) (MvPolynomial.commRing.{u2, u1} R (Prod.{u1, u1} m m) _inst_3) (Matrix.mvPolynomialX.{u1, u1, u2} m m R (CommRing.toCommSemiring.{u2} R _inst_3))) (OfNat.ofNat.{max u1 u2} (MvPolynomial.{u1, u2} (Prod.{u1, u1} m m) R (CommRing.toCommSemiring.{u2} R _inst_3)) 0 (OfNat.mk.{max u1 u2} (MvPolynomial.{u1, u2} (Prod.{u1, u1} m m) R (CommRing.toCommSemiring.{u2} R _inst_3)) 0 (Zero.zero.{max u1 u2} (MvPolynomial.{u1, u2} (Prod.{u1, u1} m m) R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulZeroClass.toHasZero.{max u1 u2} (MvPolynomial.{u1, u2} (Prod.{u1, u1} m m) R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} (Prod.{u1, u1} m m) R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} (Prod.{u1, u1} m m) R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonAssocRing.toNonUnitalNonAssocRing.{max u1 u2} (MvPolynomial.{u1, u2} (Prod.{u1, u1} m m) R (CommRing.toCommSemiring.{u2} R _inst_3)) (Ring.toNonAssocRing.{max u1 u2} (MvPolynomial.{u1, u2} (Prod.{u1, u1} m m) R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommRing.toRing.{max u1 u2} (MvPolynomial.{u1, u2} (Prod.{u1, u1} m m) R (CommRing.toCommSemiring.{u2} R _inst_3)) (MvPolynomial.commRing.{u2, u1} R (Prod.{u1, u1} m m) _inst_3))))))))))
+but is expected to have type
+  forall (m : Type.{u2}) (R : Type.{u1}) [_inst_1 : DecidableEq.{succ u2} m] [_inst_2 : Fintype.{u2} m] [_inst_3 : CommRing.{u1} R] [_inst_4 : Nontrivial.{u1} R], Ne.{succ (max u2 u1)} (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R (CommRing.toCommSemiring.{u1} R _inst_3)) (Matrix.det.{max u2 u1, u2} m (fun (a : m) (b : m) => _inst_1 a b) _inst_2 (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R (CommRing.toCommSemiring.{u1} R _inst_3)) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{u1, u2} R (Prod.{u2, u2} m m) _inst_3) (Matrix.mvPolynomialX.{u2, u2, u1} m m R (CommRing.toCommSemiring.{u1} R _inst_3))) (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R (CommRing.toCommSemiring.{u1} R _inst_3)) 0 (Zero.toOfNat0.{max u2 u1} (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R (CommRing.toCommSemiring.{u1} R _inst_3)) (CommMonoidWithZero.toZero.{max u2 u1} (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R (CommRing.toCommSemiring.{u1} R _inst_3)) (CommSemiring.toCommMonoidWithZero.{max u2 u1} (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R (CommRing.toCommSemiring.{u1} R _inst_3)) (CommRing.toCommSemiring.{max u2 u1} (MvPolynomial.{u2, u1} (Prod.{u2, u2} m m) R (CommRing.toCommSemiring.{u1} R _inst_3)) (MvPolynomial.instCommRingMvPolynomialToCommSemiring.{u1, u2} R (Prod.{u2, u2} m m) _inst_3))))))
+Case conversion may be inaccurate. Consider using '#align matrix.det_mv_polynomial_X_ne_zero Matrix.det_mvPolynomialX_ne_zeroₓ'. -/
 /-- In a nontrivial ring, `matrix.mv_polynomial_X m m R` has non-zero determinant. -/
 theorem det_mvPolynomialX_ne_zero [DecidableEq m] [Fintype m] [CommRing R] [Nontrivial R] :
     det (mvPolynomialX m m R) ≠ 0 := by

mathlib commit https://github.com/leanprover-community/mathlib/commit/172bf2812857f5e56938cc148b7a539f52f84ca9

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Eric Wieser
 
 ! This file was ported from Lean 3 source module linear_algebra.matrix.mv_polynomial
-! leanprover-community/mathlib commit bdcb7310db0fbc0e55dc1897bea76448733b7810
+! leanprover-community/mathlib commit 3e068ece210655b7b9a9477c3aff38a492400aa1
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -32,11 +32,17 @@ namespace Matrix
 variable (m n R)
 
 /-- The matrix with variable `X (i,j)` at location `(i,j)`. -/
-@[simp]
-noncomputable def mvPolynomialX [CommSemiring R] : Matrix m n (MvPolynomial (m × n) R)
-  | i, j => MvPolynomial.X (i, j)
+noncomputable def mvPolynomialX [CommSemiring R] : Matrix m n (MvPolynomial (m × n) R) :=
+  of fun i j => MvPolynomial.X (i, j)
 #align matrix.mv_polynomial_X Matrix.mvPolynomialX
 
+-- TODO: set as an equation lemma for `mv_polynomial_X`, see mathlib4#3024
+@[simp]
+theorem mvPolynomialX_apply [CommSemiring R] (i j) :
+    mvPolynomialX m n R i j = MvPolynomial.X (i, j) :=
+  rfl
+#align matrix.mv_polynomial_X_apply Matrix.mvPolynomialX_apply
+
 variable {m n R S}
 
 /-- Any matrix `A` can be expressed as the evaluation of `matrix.mv_polynomial_X`.

mathlib commit https://github.com/leanprover-community/mathlib/commit/1a313d8bba1bad05faba71a4a4e9742ab5bd9efd

@@ -34,7 +34,7 @@ variable (m n R)
 /-- The matrix with variable `X (i,j)` at location `(i,j)`. -/
 @[simp]
 noncomputable def mvPolynomialX [CommSemiring R] : Matrix m n (MvPolynomial (m × n) R)
-  | i, j => MvPolynomial.x (i, j)
+  | i, j => MvPolynomial.X (i, j)
 #align matrix.mv_polynomial_X Matrix.mvPolynomialX
 
 variable {m n R S}
@@ -46,7 +46,7 @@ not, as if the `mv_polynomial.eval₂` can be pulled to the outside of a goal, i
 under cancellative assumptions. -/
 theorem mvPolynomialX_map_eval₂ [CommSemiring R] [CommSemiring S] (f : R →+* S) (A : Matrix m n S) :
     (mvPolynomialX m n R).map (MvPolynomial.eval₂ f fun p : m × n => A p.1 p.2) = A :=
-  ext fun i j => MvPolynomial.eval₂_x _ (fun p : m × n => A p.1 p.2) (i, j)
+  ext fun i j => MvPolynomial.eval₂_X _ (fun p : m × n => A p.1 p.2) (i, j)
 #align matrix.mv_polynomial_X_map_eval₂ Matrix.mvPolynomialX_map_eval₂
 
 /-- A variant of `matrix.mv_polynomial_X_map_eval₂` with a bundled `ring_hom` on the LHS. -/

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

Polynomial and MvPolynomial are algebraic objects, hence should be under Algebra (or at least not under Data)

@@ -3,9 +3,9 @@ Copyright (c) 2021 Eric Wieser. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Eric Wieser
 -/
+import Mathlib.Algebra.MvPolynomial.Basic
+import Mathlib.Algebra.MvPolynomial.CommRing
 import Mathlib.LinearAlgebra.Matrix.Determinant
-import Mathlib.Data.MvPolynomial.Basic
-import Mathlib.Data.MvPolynomial.CommRing
 
 #align_import linear_algebra.matrix.mv_polynomial from "leanprover-community/mathlib"@"3e068ece210655b7b9a9477c3aff38a492400aa1"
 

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

This has nice performance benefits.

@@ -23,7 +23,7 @@ matrix determinant, multivariate polynomial
 
 set_option linter.uppercaseLean3 false
 
-variable {m n R S : Type _}
+variable {m n R S : Type*}
 
 namespace Matrix
 

• depends on: #5966

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

@@ -2,16 +2,13 @@
 Copyright (c) 2021 Eric Wieser. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Eric Wieser
-
-! This file was ported from Lean 3 source module linear_algebra.matrix.mv_polynomial
-! leanprover-community/mathlib commit 3e068ece210655b7b9a9477c3aff38a492400aa1
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.LinearAlgebra.Matrix.Determinant
 import Mathlib.Data.MvPolynomial.Basic
 import Mathlib.Data.MvPolynomial.CommRing
 
+#align_import linear_algebra.matrix.mv_polynomial from "leanprover-community/mathlib"@"3e068ece210655b7b9a9477c3aff38a492400aa1"
+
 /-!
 # Matrices of multivariate polynomials