data.mv_polynomial.counit | Mathlib porting status

Changes since the initial port

The following section lists changes to this file in mathlib3 and mathlib4 that occured after the initial port. Most recent changes are shown first. Hovering over a commit will show all commits associated with the same mathlib3 commit.

Changes in mathlib3

abb3121f

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

93287238

bump to nightly-2024-04-07-08

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

b03b8656

Diff

@@ -3,7 +3,7 @@ Copyright (c) 2020 Johan Commelin. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johan Commelin
 -/
-import Data.MvPolynomial.Basic
+import Algebra.MvPolynomial.Basic
 
 #align_import data.mv_polynomial.counit from "leanprover-community/mathlib"@"932872382355f00112641d305ba0619305dc8642"

93287238

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,7 +3,7 @@ Copyright (c) 2020 Johan Commelin. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johan Commelin
 -/
-import Mathbin.Data.MvPolynomial.Basic
+import Data.MvPolynomial.Basic
 
 #align_import data.mv_polynomial.counit from "leanprover-community/mathlib"@"932872382355f00112641d305ba0619305dc8642"

93287238

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,14 +2,11 @@
 Copyright (c) 2020 Johan Commelin. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johan Commelin
-
-! This file was ported from Lean 3 source module data.mv_polynomial.counit
-! leanprover-community/mathlib commit 932872382355f00112641d305ba0619305dc8642
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Data.MvPolynomial.Basic
 
+#align_import data.mv_polynomial.counit from "leanprover-community/mathlib"@"932872382355f00112641d305ba0619305dc8642"
+
 /-!
 ## Counit morphisms for multivariate polynomials

93287238

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -50,23 +50,30 @@ noncomputable def ACounit : MvPolynomial B A →ₐ[A] B :=
 
 variable {B}
 
+#print MvPolynomial.ACounit_X /-
 @[simp]
 theorem ACounit_X (b : B) : ACounit A B (X b) = b :=
   aeval_X _ b
 #align mv_polynomial.acounit_X MvPolynomial.ACounit_X
+-/
 
 variable {A} (B)
 
+#print MvPolynomial.ACounit_C /-
 @[simp]
 theorem ACounit_C (a : A) : ACounit A B (C a) = algebraMap A B a :=
   aeval_C _ a
 #align mv_polynomial.acounit_C MvPolynomial.ACounit_C
+-/
 
 variable (A)
 
+#print MvPolynomial.ACounit_surjective /-
 theorem ACounit_surjective : Surjective (ACounit A B) := fun b => ⟨X b, ACounit_X A b⟩
 #align mv_polynomial.acounit_surjective MvPolynomial.ACounit_surjective
+-/
 
+#print MvPolynomial.counit /-
 /-- `mv_polynomial.counit R` is the natural surjective ring homomorphism
 `mv_polynomial R ℤ →+* R` obtained by `X r ↦ r`.
 
@@ -75,6 +82,7 @@ and `mv_polynomial.counit_nat` for the “absolute” variant with `R = ℕ`. -/
 noncomputable def counit : MvPolynomial R ℤ →+* R :=
   ACounit ℤ R
 #align mv_polynomial.counit MvPolynomial.counit
+-/
 
 #print MvPolynomial.counitNat /-
 /-- `mv_polynomial.counit_nat A` is the natural surjective ring homomorphism
@@ -87,33 +95,45 @@ noncomputable def counitNat : MvPolynomial A ℕ →+* A :=
 #align mv_polynomial.counit_nat MvPolynomial.counitNat
 -/
 
+#print MvPolynomial.counit_surjective /-
 theorem counit_surjective : Surjective (counit R) :=
   ACounit_surjective ℤ R
 #align mv_polynomial.counit_surjective MvPolynomial.counit_surjective
+-/
 
+#print MvPolynomial.counitNat_surjective /-
 theorem counitNat_surjective : Surjective (counitNat A) :=
   ACounit_surjective ℕ A
 #align mv_polynomial.counit_nat_surjective MvPolynomial.counitNat_surjective
+-/
 
+#print MvPolynomial.counit_C /-
 theorem counit_C (n : ℤ) : counit R (C n) = n :=
   ACounit_C _ _
 #align mv_polynomial.counit_C MvPolynomial.counit_C
+-/
 
+#print MvPolynomial.counitNat_C /-
 theorem counitNat_C (n : ℕ) : counitNat A (C n) = n :=
   ACounit_C _ _
 #align mv_polynomial.counit_nat_C MvPolynomial.counitNat_C
+-/
 
 variable {R A}
 
+#print MvPolynomial.counit_X /-
 @[simp]
 theorem counit_X (r : R) : counit R (X r) = r :=
   ACounit_X _ _
 #align mv_polynomial.counit_X MvPolynomial.counit_X
+-/
 
+#print MvPolynomial.counitNat_X /-
 @[simp]
 theorem counitNat_X (a : A) : counitNat A (X a) = a :=
   ACounit_X _ _
 #align mv_polynomial.counit_nat_X MvPolynomial.counitNat_X
+-/
 
 end MvPolynomial

93287238

bump to nightly-2023-06-01-04

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

4d9eaa85

Diff

@@ -50,21 +50,17 @@ noncomputable def ACounit : MvPolynomial B A →ₐ[A] B :=
 
 variable {B}
 
-#print MvPolynomial.ACounit_X /-
 @[simp]
 theorem ACounit_X (b : B) : ACounit A B (X b) = b :=
   aeval_X _ b
 #align mv_polynomial.acounit_X MvPolynomial.ACounit_X
--/
 
 variable {A} (B)
 
-#print MvPolynomial.ACounit_C /-
 @[simp]
 theorem ACounit_C (a : A) : ACounit A B (C a) = algebraMap A B a :=
   aeval_C _ a
 #align mv_polynomial.acounit_C MvPolynomial.ACounit_C
--/
 
 variable (A)

93287238

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -68,18 +68,9 @@ theorem ACounit_C (a : A) : ACounit A B (C a) = algebraMap A B a :=
 
 variable (A)
 
-/- warning: mv_polynomial.acounit_surjective -> MvPolynomial.ACounit_surjective is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.acounit_surjective MvPolynomial.ACounit_surjectiveₓ'. -/
 theorem ACounit_surjective : Surjective (ACounit A B) := fun b => ⟨X b, ACounit_X A b⟩
 #align mv_polynomial.acounit_surjective MvPolynomial.ACounit_surjective
 
-/- warning: mv_polynomial.counit -> MvPolynomial.counit is a dubious translation:
-lean 3 declaration is
-  forall (R : Type.{u1}) [_inst_3 : CommRing.{u1} R], RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u1} Int R Int.commSemiring))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3)))
-but is expected to have type
-  forall (R : Type.{u1}) [_inst_3 : CommRing.{u1} R], RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.counit MvPolynomial.counitₓ'. -/
 /-- `mv_polynomial.counit R` is the natural surjective ring homomorphism
 `mv_polynomial R ℤ →+* R` obtained by `X r ↦ r`.
 
@@ -100,59 +91,29 @@ noncomputable def counitNat : MvPolynomial A ℕ →+* A :=
 #align mv_polynomial.counit_nat MvPolynomial.counitNat
 -/
 
-/- warning: mv_polynomial.counit_surjective -> MvPolynomial.counit_surjective is a dubious translation:
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-but is expected to have type
-  forall (R : Type.{u1}) [_inst_3 : CommRing.{u1} R], Function.Surjective.{succ u1, succ u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (fun (_x : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))) (RingHom.instRingHomClassRingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))))))) (MvPolynomial.counit.{u1} R _inst_3))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.counit_surjective MvPolynomial.counit_surjectiveₓ'. -/
 theorem counit_surjective : Surjective (counit R) :=
   ACounit_surjective ℤ R
 #align mv_polynomial.counit_surjective MvPolynomial.counit_surjective
 
-/- warning: mv_polynomial.counit_nat_surjective -> MvPolynomial.counitNat_surjective is a dubious translation:
-lean 3 declaration is
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 theorem counitNat_surjective : Surjective (counitNat A) :=
   ACounit_surjective ℕ A
 #align mv_polynomial.counit_nat_surjective MvPolynomial.counitNat_surjective
 
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 theorem counit_C (n : ℤ) : counit R (C n) = n :=
   ACounit_C _ _
 #align mv_polynomial.counit_C MvPolynomial.counit_C
 
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 theorem counitNat_C (n : ℕ) : counitNat A (C n) = n :=
   ACounit_C _ _
 #align mv_polynomial.counit_nat_C MvPolynomial.counitNat_C
 
 variable {R A}
 
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 @[simp]
 theorem counit_X (r : R) : counit R (X r) = r :=
   ACounit_X _ _
 #align mv_polynomial.counit_X MvPolynomial.counit_X
 
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 @[simp]
 theorem counitNat_X (a : A) : counitNat A (X a) = a :=
   ACounit_X _ _

93287238

bump to nightly-2023-05-28-03

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

6c6011cf

Diff

@@ -69,10 +69,7 @@ theorem ACounit_C (a : A) : ACounit A B (C a) = algebraMap A B a :=
 variable (A)
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.acounit_surjective MvPolynomial.ACounit_surjectiveₓ'. -/
 theorem ACounit_surjective : Surjective (ACounit A B) := fun b => ⟨X b, ACounit_X A b⟩
 #align mv_polynomial.acounit_surjective MvPolynomial.ACounit_surjective
@@ -124,20 +121,14 @@ theorem counitNat_surjective : Surjective (counitNat A) :=
 #align mv_polynomial.counit_nat_surjective MvPolynomial.counitNat_surjective
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.counit_C MvPolynomial.counit_Cₓ'. -/
 theorem counit_C (n : ℤ) : counit R (C n) = n :=
   ACounit_C _ _
 #align mv_polynomial.counit_C MvPolynomial.counit_C
 
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(CommSemiring.toSemiring.{0} Nat Nat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))))))) (MvPolynomial.C.{0, u1} Nat A Nat.commSemiring) n)) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, 0} A Nat Nat.commSemiring) => A) (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring)))) Nat (fun (a : Nat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Nat) => MvPolynomial.{u1, 0} A Nat Nat.commSemiring) a) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring)))) Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (NonUnitalNonAssocSemiring.toMul.{0} Nat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)))) (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring)))) Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring)))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring)))) Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (RingHom.instRingHomClassRingHom.{0, u1} Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))))))) (MvPolynomial.C.{0, u1} Nat A Nat.commSemiring) n)) _inst_1)) n)
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.counit_nat_C MvPolynomial.counitNat_Cₓ'. -/
 theorem counitNat_C (n : ℕ) : counitNat A (C n) = n :=
   ACounit_C _ _

93287238

bump to nightly-2023-05-24-06

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

fbc7b476

Diff

@@ -72,7 +72,7 @@ variable (A)
 lean 3 declaration is
   forall (A : Type.{u1}) (B : Type.{u2}) [_inst_1 : CommSemiring.{u1} A] [_inst_2 : CommSemiring.{u2} B] [_inst_4 : Algebra.{u1, u2} A B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_2)], Function.Surjective.{max (succ u2) (succ u1), succ u2} (MvPolynomial.{u2, u1} B A _inst_1) B (coeFn.{max (succ (max u2 u1)) (succ u2), max (succ (max u2 u1)) (succ u2)} (AlgHom.{u1, max u2 u1, u2} A (MvPolynomial.{u2, u1} B A _inst_1) B _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} B A _inst_1) (MvPolynomial.commSemiring.{u1, u2} A B _inst_1)) (CommSemiring.toSemiring.{u2} B _inst_2) (MvPolynomial.algebra.{u1, u1, u2} A A B _inst_1 _inst_1 (Algebra.id.{u1} A _inst_1)) _inst_4) (fun (_x : AlgHom.{u1, max u2 u1, u2} A (MvPolynomial.{u2, u1} B A _inst_1) B _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} B A _inst_1) (MvPolynomial.commSemiring.{u1, u2} A B _inst_1)) (CommSemiring.toSemiring.{u2} B _inst_2) (MvPolynomial.algebra.{u1, u1, u2} A A B _inst_1 _inst_1 (Algebra.id.{u1} A _inst_1)) _inst_4) => (MvPolynomial.{u2, u1} B A _inst_1) -> B) ([anonymous].{u1, max u2 u1, u2} A (MvPolynomial.{u2, u1} B A _inst_1) B _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} B A _inst_1) (MvPolynomial.commSemiring.{u1, u2} A B _inst_1)) (CommSemiring.toSemiring.{u2} B _inst_2) (MvPolynomial.algebra.{u1, u1, u2} A A B _inst_1 _inst_1 (Algebra.id.{u1} A _inst_1)) _inst_4) (MvPolynomial.ACounit.{u1, u2} A B _inst_1 _inst_2 _inst_4))
 but is expected to have type
-  forall (A : Type.{u2}) (B : Type.{u1}) [_inst_1 : CommSemiring.{u2} A] [_inst_2 : CommSemiring.{u1} B] [_inst_4 : Algebra.{u2, u1} A B _inst_1 (CommSemiring.toSemiring.{u1} B _inst_2)], Function.Surjective.{max (succ u2) (succ u1), succ u1} (MvPolynomial.{u1, u2} B A _inst_1) B (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), succ u1} (AlgHom.{u2, max u2 u1, u1} A (MvPolynomial.{u1, u2} B A _inst_1) B _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (MvPolynomial.commSemiring.{u2, u1} A B _inst_1)) (CommSemiring.toSemiring.{u1} B _inst_2) (MvPolynomial.algebra.{u2, u2, u1} A A B _inst_1 _inst_1 (Algebra.id.{u2} A _inst_1)) _inst_4) (MvPolynomial.{u1, u2} B A _inst_1) (fun (_x : MvPolynomial.{u1, u2} B A _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} B A _inst_1) => B) _x) (SMulHomClass.toFunLike.{max u2 u1, u2, max u2 u1, u1} (AlgHom.{u2, max u2 u1, u1} A (MvPolynomial.{u1, u2} B A _inst_1) B _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (MvPolynomial.commSemiring.{u2, u1} A B _inst_1)) (CommSemiring.toSemiring.{u1} B _inst_2) (MvPolynomial.algebra.{u2, u2, u1} A A B _inst_1 _inst_1 (Algebra.id.{u2} A _inst_1)) _inst_4) A (MvPolynomial.{u1, u2} B A _inst_1) B (SMulZeroClass.toSMul.{u2, max u2 u1} A (MvPolynomial.{u1, u2} B A _inst_1) (AddMonoid.toZero.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (MvPolynomial.commSemiring.{u2, u1} A B _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u2 u1} A (MvPolynomial.{u1, u2} B A _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (MvPolynomial.commSemiring.{u2, u1} A B _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u2 u1} A (MvPolynomial.{u1, u2} B A _inst_1) (MonoidWithZero.toMonoid.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (MvPolynomial.commSemiring.{u2, u1} A B _inst_1)))))) (Module.toDistribMulAction.{u2, max u2 u1} A (MvPolynomial.{u1, u2} B A _inst_1) (CommSemiring.toSemiring.{u2} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (MvPolynomial.commSemiring.{u2, u1} A B _inst_1))))) (Algebra.toModule.{u2, max u2 u1} A (MvPolynomial.{u1, u2} B A _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (MvPolynomial.commSemiring.{u2, u1} A B _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} A A B _inst_1 _inst_1 (Algebra.id.{u2} A _inst_1))))))) (SMulZeroClass.toSMul.{u2, u1} A B (AddMonoid.toZero.{u1} B (AddCommMonoid.toAddMonoid.{u1} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B (CommSemiring.toSemiring.{u1} B _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u1} A B (AddMonoid.toAddZeroClass.{u1} B (AddCommMonoid.toAddMonoid.{u1} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B (CommSemiring.toSemiring.{u1} B _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u1} A B (MonoidWithZero.toMonoid.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A _inst_1))) (AddCommMonoid.toAddMonoid.{u1} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B (CommSemiring.toSemiring.{u1} B _inst_2))))) (Module.toDistribMulAction.{u2, u1} A B (CommSemiring.toSemiring.{u2} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B (CommSemiring.toSemiring.{u1} B _inst_2)))) (Algebra.toModule.{u2, u1} A B _inst_1 (CommSemiring.toSemiring.{u1} B _inst_2) _inst_4))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u2, max u2 u1, u1} (AlgHom.{u2, max u2 u1, u1} A (MvPolynomial.{u1, u2} B A _inst_1) B _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (MvPolynomial.commSemiring.{u2, u1} A B _inst_1)) (CommSemiring.toSemiring.{u1} B _inst_2) (MvPolynomial.algebra.{u2, u2, u1} A A B _inst_1 _inst_1 (Algebra.id.{u2} A _inst_1)) _inst_4) A (MvPolynomial.{u1, u2} B A _inst_1) B (MonoidWithZero.toMonoid.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (MvPolynomial.commSemiring.{u2, u1} A B _inst_1)))))) (AddCommMonoid.toAddMonoid.{u1} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B (CommSemiring.toSemiring.{u1} B _inst_2))))) (Module.toDistribMulAction.{u2, max u2 u1} A (MvPolynomial.{u1, u2} B A _inst_1) (CommSemiring.toSemiring.{u2} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (MvPolynomial.commSemiring.{u2, u1} A B _inst_1))))) (Algebra.toModule.{u2, max u2 u1} A (MvPolynomial.{u1, u2} B A _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (MvPolynomial.commSemiring.{u2, u1} A B _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} A A B _inst_1 _inst_1 (Algebra.id.{u2} A _inst_1)))) (Module.toDistribMulAction.{u2, u1} A B (CommSemiring.toSemiring.{u2} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B (CommSemiring.toSemiring.{u1} B _inst_2)))) (Algebra.toModule.{u2, u1} A B _inst_1 (CommSemiring.toSemiring.{u1} B _inst_2) _inst_4)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u2, max u2 u1, u1} (AlgHom.{u2, max u2 u1, u1} A (MvPolynomial.{u1, u2} B A _inst_1) B _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (MvPolynomial.commSemiring.{u2, u1} A B _inst_1)) (CommSemiring.toSemiring.{u1} B _inst_2) (MvPolynomial.algebra.{u2, u2, u1} A A B _inst_1 _inst_1 (Algebra.id.{u2} A _inst_1)) _inst_4) A (MvPolynomial.{u1, u2} B A _inst_1) B (MonoidWithZero.toMonoid.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (MvPolynomial.commSemiring.{u2, u1} A B _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B (CommSemiring.toSemiring.{u1} B _inst_2))) (Module.toDistribMulAction.{u2, max u2 u1} A (MvPolynomial.{u1, u2} B A _inst_1) (CommSemiring.toSemiring.{u2} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (MvPolynomial.commSemiring.{u2, u1} A B _inst_1))))) (Algebra.toModule.{u2, max u2 u1} A (MvPolynomial.{u1, u2} B A _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (MvPolynomial.commSemiring.{u2, u1} A B _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} A A B _inst_1 _inst_1 (Algebra.id.{u2} A _inst_1)))) (Module.toDistribMulAction.{u2, u1} A B (CommSemiring.toSemiring.{u2} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B (CommSemiring.toSemiring.{u1} B _inst_2)))) (Algebra.toModule.{u2, u1} A B _inst_1 (CommSemiring.toSemiring.{u1} B _inst_2) _inst_4)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u2 u1, u1, max u2 u1} A (MvPolynomial.{u1, u2} B A _inst_1) B _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (MvPolynomial.commSemiring.{u2, u1} A B _inst_1)) (CommSemiring.toSemiring.{u1} B _inst_2) (MvPolynomial.algebra.{u2, u2, u1} A A B _inst_1 _inst_1 (Algebra.id.{u2} A _inst_1)) _inst_4 (AlgHom.{u2, max u2 u1, u1} A (MvPolynomial.{u1, u2} B A _inst_1) B _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (MvPolynomial.commSemiring.{u2, u1} A B _inst_1)) (CommSemiring.toSemiring.{u1} B _inst_2) (MvPolynomial.algebra.{u2, u2, u1} A A B _inst_1 _inst_1 (Algebra.id.{u2} A _inst_1)) _inst_4) (AlgHom.algHomClass.{u2, max u2 u1, u1} A (MvPolynomial.{u1, u2} B A _inst_1) B _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (MvPolynomial.commSemiring.{u2, u1} A B _inst_1)) (CommSemiring.toSemiring.{u1} B _inst_2) (MvPolynomial.algebra.{u2, u2, u1} A A B _inst_1 _inst_1 (Algebra.id.{u2} A _inst_1)) _inst_4))))) (MvPolynomial.ACounit.{u2, u1} A B _inst_1 _inst_2 _inst_4))
+  forall (A : Type.{u2}) (B : Type.{u1}) [_inst_1 : CommSemiring.{u2} A] [_inst_2 : CommSemiring.{u1} B] [_inst_4 : Algebra.{u2, u1} A B _inst_1 (CommSemiring.toSemiring.{u1} B _inst_2)], Function.Surjective.{max (succ u2) (succ u1), succ u1} (MvPolynomial.{u1, u2} B A _inst_1) B (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), succ u1} (AlgHom.{u2, max u2 u1, u1} A (MvPolynomial.{u1, u2} B A _inst_1) B _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (MvPolynomial.commSemiring.{u2, u1} A B _inst_1)) (CommSemiring.toSemiring.{u1} B _inst_2) (MvPolynomial.algebra.{u2, u2, u1} A A B _inst_1 _inst_1 (Algebra.id.{u2} A _inst_1)) _inst_4) (MvPolynomial.{u1, u2} B A _inst_1) (fun (_x : MvPolynomial.{u1, u2} B A _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} B A _inst_1) => B) _x) (SMulHomClass.toFunLike.{max u2 u1, u2, max u2 u1, u1} (AlgHom.{u2, max u2 u1, u1} A (MvPolynomial.{u1, u2} B A _inst_1) B _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (MvPolynomial.commSemiring.{u2, u1} A B _inst_1)) (CommSemiring.toSemiring.{u1} B _inst_2) (MvPolynomial.algebra.{u2, u2, u1} A A B _inst_1 _inst_1 (Algebra.id.{u2} A _inst_1)) _inst_4) A (MvPolynomial.{u1, u2} B A _inst_1) B (SMulZeroClass.toSMul.{u2, max u2 u1} A (MvPolynomial.{u1, u2} B A _inst_1) (AddMonoid.toZero.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (MvPolynomial.commSemiring.{u2, u1} A B _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u2 u1} A (MvPolynomial.{u1, u2} B A _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (MvPolynomial.commSemiring.{u2, u1} A B _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u2 u1} A (MvPolynomial.{u1, u2} B A _inst_1) (MonoidWithZero.toMonoid.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (MvPolynomial.commSemiring.{u2, u1} A B _inst_1)))))) (Module.toDistribMulAction.{u2, max u2 u1} A (MvPolynomial.{u1, u2} B A _inst_1) (CommSemiring.toSemiring.{u2} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (MvPolynomial.commSemiring.{u2, u1} A B _inst_1))))) (Algebra.toModule.{u2, max u2 u1} A (MvPolynomial.{u1, u2} B A _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (MvPolynomial.commSemiring.{u2, u1} A B _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} A A B _inst_1 _inst_1 (Algebra.id.{u2} A _inst_1))))))) (SMulZeroClass.toSMul.{u2, u1} A B (AddMonoid.toZero.{u1} B (AddCommMonoid.toAddMonoid.{u1} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B (CommSemiring.toSemiring.{u1} B _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u1} A B (AddMonoid.toAddZeroClass.{u1} B (AddCommMonoid.toAddMonoid.{u1} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B (CommSemiring.toSemiring.{u1} B _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u1} A B (MonoidWithZero.toMonoid.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A _inst_1))) (AddCommMonoid.toAddMonoid.{u1} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B (CommSemiring.toSemiring.{u1} B _inst_2))))) (Module.toDistribMulAction.{u2, u1} A B (CommSemiring.toSemiring.{u2} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B (CommSemiring.toSemiring.{u1} B _inst_2)))) (Algebra.toModule.{u2, u1} A B _inst_1 (CommSemiring.toSemiring.{u1} B _inst_2) _inst_4))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u2, max u2 u1, u1} (AlgHom.{u2, max u2 u1, u1} A (MvPolynomial.{u1, u2} B A _inst_1) B _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (MvPolynomial.commSemiring.{u2, u1} A B _inst_1)) (CommSemiring.toSemiring.{u1} B _inst_2) (MvPolynomial.algebra.{u2, u2, u1} A A B _inst_1 _inst_1 (Algebra.id.{u2} A _inst_1)) _inst_4) A (MvPolynomial.{u1, u2} B A _inst_1) B (MonoidWithZero.toMonoid.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (MvPolynomial.commSemiring.{u2, u1} A B _inst_1)))))) (AddCommMonoid.toAddMonoid.{u1} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B (CommSemiring.toSemiring.{u1} B _inst_2))))) (Module.toDistribMulAction.{u2, max u2 u1} A (MvPolynomial.{u1, u2} B A _inst_1) (CommSemiring.toSemiring.{u2} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (MvPolynomial.commSemiring.{u2, u1} A B _inst_1))))) (Algebra.toModule.{u2, max u2 u1} A (MvPolynomial.{u1, u2} B A _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (MvPolynomial.commSemiring.{u2, u1} A B _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} A A B _inst_1 _inst_1 (Algebra.id.{u2} A _inst_1)))) (Module.toDistribMulAction.{u2, u1} A B (CommSemiring.toSemiring.{u2} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B (CommSemiring.toSemiring.{u1} B _inst_2)))) (Algebra.toModule.{u2, u1} A B _inst_1 (CommSemiring.toSemiring.{u1} B _inst_2) _inst_4)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u2, max u2 u1, u1} (AlgHom.{u2, max u2 u1, u1} A (MvPolynomial.{u1, u2} B A _inst_1) B _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (MvPolynomial.commSemiring.{u2, u1} A B _inst_1)) (CommSemiring.toSemiring.{u1} B _inst_2) (MvPolynomial.algebra.{u2, u2, u1} A A B _inst_1 _inst_1 (Algebra.id.{u2} A _inst_1)) _inst_4) A (MvPolynomial.{u1, u2} B A _inst_1) B (MonoidWithZero.toMonoid.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (MvPolynomial.commSemiring.{u2, u1} A B _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B (CommSemiring.toSemiring.{u1} B _inst_2))) (Module.toDistribMulAction.{u2, max u2 u1} A (MvPolynomial.{u1, u2} B A _inst_1) (CommSemiring.toSemiring.{u2} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (MvPolynomial.commSemiring.{u2, u1} A B _inst_1))))) (Algebra.toModule.{u2, max u2 u1} A (MvPolynomial.{u1, u2} B A _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (MvPolynomial.commSemiring.{u2, u1} A B _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} A A B _inst_1 _inst_1 (Algebra.id.{u2} A _inst_1)))) (Module.toDistribMulAction.{u2, u1} A B (CommSemiring.toSemiring.{u2} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B (CommSemiring.toSemiring.{u1} B _inst_2)))) (Algebra.toModule.{u2, u1} A B _inst_1 (CommSemiring.toSemiring.{u1} B _inst_2) _inst_4)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u2 u1, u1, max u2 u1} A (MvPolynomial.{u1, u2} B A _inst_1) B _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (MvPolynomial.commSemiring.{u2, u1} A B _inst_1)) (CommSemiring.toSemiring.{u1} B _inst_2) (MvPolynomial.algebra.{u2, u2, u1} A A B _inst_1 _inst_1 (Algebra.id.{u2} A _inst_1)) _inst_4 (AlgHom.{u2, max u2 u1, u1} A (MvPolynomial.{u1, u2} B A _inst_1) B _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (MvPolynomial.commSemiring.{u2, u1} A B _inst_1)) (CommSemiring.toSemiring.{u1} B _inst_2) (MvPolynomial.algebra.{u2, u2, u1} A A B _inst_1 _inst_1 (Algebra.id.{u2} A _inst_1)) _inst_4) (AlgHom.algHomClass.{u2, max u2 u1, u1} A (MvPolynomial.{u1, u2} B A _inst_1) B _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (MvPolynomial.commSemiring.{u2, u1} A B _inst_1)) (CommSemiring.toSemiring.{u1} B _inst_2) (MvPolynomial.algebra.{u2, u2, u1} A A B _inst_1 _inst_1 (Algebra.id.{u2} A _inst_1)) _inst_4))))) (MvPolynomial.ACounit.{u2, u1} A B _inst_1 _inst_2 _inst_4))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.acounit_surjective MvPolynomial.ACounit_surjectiveₓ'. -/
 theorem ACounit_surjective : Surjective (ACounit A B) := fun b => ⟨X b, ACounit_X A b⟩
 #align mv_polynomial.acounit_surjective MvPolynomial.ACounit_surjective

93287238

bump to nightly-2023-05-19-16

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

a31df521

Diff

@@ -107,7 +107,7 @@ noncomputable def counitNat : MvPolynomial A ℕ →+* A :=
 lean 3 declaration is
   forall (R : Type.{u1}) [_inst_3 : CommRing.{u1} R], Function.Surjective.{succ u1, succ u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) R (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u1} Int R Int.commSemiring))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3)))) (fun (_x : RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u1} Int R Int.commSemiring))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3)))) => (MvPolynomial.{u1, 0} R Int Int.commSemiring) -> R) (RingHom.hasCoeToFun.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u1} Int R Int.commSemiring))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3)))) (MvPolynomial.counit.{u1} R _inst_3))
 but is expected to have type
-  forall (R : Type.{u1}) [_inst_3 : CommRing.{u1} R], Function.Surjective.{succ u1, succ u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (fun (_x : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))) (RingHom.instRingHomClassRingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))))))) (MvPolynomial.counit.{u1} R _inst_3))
+  forall (R : Type.{u1}) [_inst_3 : CommRing.{u1} R], Function.Surjective.{succ u1, succ u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (fun (_x : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))) (RingHom.instRingHomClassRingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))))))) (MvPolynomial.counit.{u1} R _inst_3))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.counit_surjective MvPolynomial.counit_surjectiveₓ'. -/
 theorem counit_surjective : Surjective (counit R) :=
   ACounit_surjective ℤ R
@@ -117,7 +117,7 @@ theorem counit_surjective : Surjective (counit R) :=
 lean 3 declaration is
   forall (A : Type.{u1}) [_inst_1 : CommSemiring.{u1} A], Function.Surjective.{succ u1, succ u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1))) (fun (_x : RingHom.{u1, u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1))) => (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) -> A) (RingHom.hasCoeToFun.{u1, u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1))) (MvPolynomial.counitNat.{u1} A _inst_1))
 but is expected to have type
-  forall (A : Type.{u1}) [_inst_1 : CommSemiring.{u1} A], Function.Surjective.{succ u1, succ u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1))) (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (fun (_x : MvPolynomial.{u1, 0} A Nat Nat.commSemiring) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, 0} A Nat Nat.commSemiring) => A) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1))) (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1))) (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1))) (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1)))))) (MvPolynomial.counitNat.{u1} A _inst_1))
+  forall (A : Type.{u1}) [_inst_1 : CommSemiring.{u1} A], Function.Surjective.{succ u1, succ u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1))) (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (fun (_x : MvPolynomial.{u1, 0} A Nat Nat.commSemiring) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, 0} A Nat Nat.commSemiring) => A) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1))) (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1))) (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1))) (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1)))))) (MvPolynomial.counitNat.{u1} A _inst_1))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.counit_nat_surjective MvPolynomial.counitNat_surjectiveₓ'. -/
 theorem counitNat_surjective : Surjective (counitNat A) :=
   ACounit_surjective ℕ A
@@ -127,7 +127,7 @@ theorem counitNat_surjective : Surjective (counitNat A) :=
 lean 3 declaration is
   forall (R : Type.{u1}) [_inst_3 : CommRing.{u1} R] (n : Int), Eq.{succ u1} R (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u1} Int R Int.commSemiring))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3)))) (fun (_x : RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u1} Int R Int.commSemiring))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3)))) => (MvPolynomial.{u1, 0} R Int Int.commSemiring) -> R) (RingHom.hasCoeToFun.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u1} Int R Int.commSemiring))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3)))) (MvPolynomial.counit.{u1} R _inst_3) (coeFn.{succ u1, succ u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.commSemiring) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u1} Int R Int.commSemiring)))) (fun (_x : RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.commSemiring) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u1} Int R Int.commSemiring)))) => Int -> (MvPolynomial.{u1, 0} R Int Int.commSemiring)) (RingHom.hasCoeToFun.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.commSemiring) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u1} Int R Int.commSemiring)))) (MvPolynomial.C.{0, u1} Int R Int.commSemiring) n)) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int R (HasLiftT.mk.{1, succ u1} Int R (CoeTCₓ.coe.{1, succ u1} Int R (Int.castCoe.{u1} R (AddGroupWithOne.toHasIntCast.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (CommRing.toRing.{u1} R _inst_3))))))) n)
 but is expected to have type
-  forall (R : Type.{u1}) [_inst_3 : CommRing.{u1} R] (n : Int), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => R) (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (fun (a : Int) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Int) => MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) a) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toMul.{0} Int (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)))) (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (RingHom.instRingHomClassRingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))))) (MvPolynomial.C.{0, u1} Int R Int.instCommSemiringInt) n)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (fun (_x : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, 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Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toMul.{0} Int (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)))) (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (RingHom.instRingHomClassRingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))))) (MvPolynomial.C.{0, u1} Int R Int.instCommSemiringInt) n)) _inst_3)) n)
+  forall (R : Type.{u1}) [_inst_3 : CommRing.{u1} R] (n : Int), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => R) (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (fun (a : Int) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Int) => MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) a) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toMul.{0} Int (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)))) (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (RingHom.instRingHomClassRingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))))) (MvPolynomial.C.{0, u1} Int R Int.instCommSemiringInt) n)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (fun (_x : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))) (RingHom.instRingHomClassRingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))))))) (MvPolynomial.counit.{u1} R _inst_3) (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (fun (_x : Int) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Int) => MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) _x) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toMul.{0} Int (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)))) (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (RingHom.instRingHomClassRingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))))) (MvPolynomial.C.{0, u1} Int R Int.instCommSemiringInt) n)) (Int.cast.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => R) (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (fun (a : Int) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Int) => MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) a) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toMul.{0} Int (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)))) (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (RingHom.instRingHomClassRingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))))) (MvPolynomial.C.{0, u1} Int R Int.instCommSemiringInt) n)) (Ring.toIntCast.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => R) (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (fun (a : Int) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Int) => MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) a) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toMul.{0} Int (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)))) (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (RingHom.instRingHomClassRingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))))) (MvPolynomial.C.{0, u1} Int R Int.instCommSemiringInt) n)) (CommRing.toRing.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => R) (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (fun (a : Int) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Int) => MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) a) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toMul.{0} Int (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)))) (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (RingHom.instRingHomClassRingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))))) (MvPolynomial.C.{0, u1} Int R Int.instCommSemiringInt) n)) _inst_3)) n)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.counit_C MvPolynomial.counit_Cₓ'. -/
 theorem counit_C (n : ℤ) : counit R (C n) = n :=
   ACounit_C _ _
@@ -137,7 +137,7 @@ theorem counit_C (n : ℤ) : counit R (C n) = n :=
 lean 3 declaration is
   forall (A : Type.{u1}) [_inst_1 : CommSemiring.{u1} A] (n : Nat), Eq.{succ u1} A (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1))) (fun (_x : RingHom.{u1, u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1))) => (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) -> A) (RingHom.hasCoeToFun.{u1, u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1))) (MvPolynomial.counitNat.{u1} A _inst_1) (coeFn.{succ u1, succ u1} (RingHom.{0, u1} Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring)))) (fun (_x : RingHom.{0, u1} Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring)))) => Nat -> (MvPolynomial.{u1, 0} A Nat Nat.commSemiring)) (RingHom.hasCoeToFun.{0, u1} Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring)))) (MvPolynomial.C.{0, u1} Nat A Nat.commSemiring) n)) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Nat A (HasLiftT.mk.{1, succ u1} Nat A (CoeTCₓ.coe.{1, succ u1} Nat A (Nat.castCoe.{u1} A (AddMonoidWithOne.toNatCast.{u1} A (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} A (NonAssocSemiring.toAddCommMonoidWithOne.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1)))))))) n)
 but is expected to have type
-  forall (A : Type.{u1}) [_inst_1 : CommSemiring.{u1} A] (n : Nat), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, 0} A Nat Nat.commSemiring) => A) (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring)))) Nat (fun (a : Nat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Nat) => MvPolynomial.{u1, 0} A Nat Nat.commSemiring) a) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring)))) Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (NonUnitalNonAssocSemiring.toMul.{0} Nat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)))) (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring)))) Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring)))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat 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(MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring)))) Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (NonUnitalNonAssocSemiring.toMul.{0} Nat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)))) (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring)))) Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring)))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring)))) Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (RingHom.instRingHomClassRingHom.{0, u1} Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))))))) (MvPolynomial.C.{0, u1} Nat A Nat.commSemiring) n)) _inst_1)) n)
+  forall (A : Type.{u1}) [_inst_1 : CommSemiring.{u1} A] (n : Nat), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, 0} A Nat Nat.commSemiring) => A) (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring)))) Nat (fun (a : Nat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Nat) => MvPolynomial.{u1, 0} A Nat Nat.commSemiring) a) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring)))) Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (NonUnitalNonAssocSemiring.toMul.{0} Nat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)))) (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring)))) Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring)))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring)))) Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (RingHom.instRingHomClassRingHom.{0, u1} Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))))))) (MvPolynomial.C.{0, u1} Nat A Nat.commSemiring) n)) (FunLike.coe.{succ u1, succ u1, 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A Nat Nat.commSemiring) A (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1))) (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1))) (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1)))))) (MvPolynomial.counitNat.{u1} A _inst_1) (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring)))) Nat (fun (_x : Nat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Nat) => MvPolynomial.{u1, 0} A Nat Nat.commSemiring) _x) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring)))) Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (NonUnitalNonAssocSemiring.toMul.{0} Nat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)))) (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring)))) Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring)))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring)))) Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (RingHom.instRingHomClassRingHom.{0, u1} Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))))))) (MvPolynomial.C.{0, u1} Nat A Nat.commSemiring) n)) (Nat.cast.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, 0} A Nat Nat.commSemiring) => A) (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring)))) Nat (fun (a : Nat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Nat) => MvPolynomial.{u1, 0} A Nat Nat.commSemiring) a) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring)))) Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (NonUnitalNonAssocSemiring.toMul.{0} Nat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)))) (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring)))) Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring)))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring)))) Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (RingHom.instRingHomClassRingHom.{0, u1} Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))))))) (MvPolynomial.C.{0, u1} Nat A Nat.commSemiring) n)) (Semiring.toNatCast.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, 0} A Nat Nat.commSemiring) => A) (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring)))) Nat (fun (a : Nat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Nat) => MvPolynomial.{u1, 0} A Nat Nat.commSemiring) a) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring)))) Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (NonUnitalNonAssocSemiring.toMul.{0} Nat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)))) (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring)))) Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring)))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring)))) Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (RingHom.instRingHomClassRingHom.{0, u1} Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))))))) (MvPolynomial.C.{0, u1} Nat A Nat.commSemiring) n)) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, 0} A Nat Nat.commSemiring) => A) (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring)))) Nat (fun (a : Nat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Nat) => MvPolynomial.{u1, 0} A Nat Nat.commSemiring) a) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring)))) Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (NonUnitalNonAssocSemiring.toMul.{0} Nat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)))) (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring)))) Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring)))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring)))) Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (RingHom.instRingHomClassRingHom.{0, u1} Nat (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{0} Nat (CommSemiring.toSemiring.{0} Nat Nat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))))))) (MvPolynomial.C.{0, u1} Nat A Nat.commSemiring) n)) _inst_1)) n)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.counit_nat_C MvPolynomial.counitNat_Cₓ'. -/
 theorem counitNat_C (n : ℕ) : counitNat A (C n) = n :=
   ACounit_C _ _
@@ -149,7 +149,7 @@ variable {R A}
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_3 : CommRing.{u1} R] (r : R), Eq.{succ u1} R (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u1} Int R Int.commSemiring))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3)))) (fun (_x : RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u1} Int R Int.commSemiring))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3)))) => (MvPolynomial.{u1, 0} R Int Int.commSemiring) -> R) (RingHom.hasCoeToFun.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u1} Int R Int.commSemiring))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3)))) (MvPolynomial.counit.{u1} R _inst_3) (MvPolynomial.X.{0, u1} Int R Int.commSemiring r)) r
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_3 : CommRing.{u1} R] (r : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => R) (MvPolynomial.X.{0, u1} Int R Int.instCommSemiringInt r)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (fun (_x : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))) (RingHom.instRingHomClassRingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))))))) (MvPolynomial.counit.{u1} R _inst_3) (MvPolynomial.X.{0, u1} Int R Int.instCommSemiringInt r)) r
+  forall {R : Type.{u1}} [_inst_3 : CommRing.{u1} R] (r : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => R) (MvPolynomial.X.{0, u1} Int R Int.instCommSemiringInt r)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (fun (_x : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))) (RingHom.instRingHomClassRingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))))))) (MvPolynomial.counit.{u1} R _inst_3) (MvPolynomial.X.{0, u1} Int R Int.instCommSemiringInt r)) r
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.counit_X MvPolynomial.counit_Xₓ'. -/
 @[simp]
 theorem counit_X (r : R) : counit R (X r) = r :=
@@ -160,7 +160,7 @@ theorem counit_X (r : R) : counit R (X r) = r :=
 lean 3 declaration is
   forall {A : Type.{u1}} [_inst_1 : CommSemiring.{u1} A] (a : A), Eq.{succ u1} A (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1))) (fun (_x : RingHom.{u1, u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1))) => (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) -> A) (RingHom.hasCoeToFun.{u1, u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1))) (MvPolynomial.counitNat.{u1} A _inst_1) (MvPolynomial.X.{0, u1} Nat A Nat.commSemiring a)) a
 but is expected to have type
-  forall {A : Type.{u1}} [_inst_1 : CommSemiring.{u1} A] (a : A), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, 0} A Nat Nat.commSemiring) => A) (MvPolynomial.X.{0, u1} Nat A Nat.commSemiring a)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1))) (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (fun (_x : MvPolynomial.{u1, 0} A Nat Nat.commSemiring) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, 0} A Nat Nat.commSemiring) => A) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1))) (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1))) (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1))) (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1)))))) (MvPolynomial.counitNat.{u1} A _inst_1) (MvPolynomial.X.{0, u1} Nat A Nat.commSemiring a)) a
+  forall {A : Type.{u1}} [_inst_1 : CommSemiring.{u1} A] (a : A), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, 0} A Nat Nat.commSemiring) => A) (MvPolynomial.X.{0, u1} Nat A Nat.commSemiring a)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1))) (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (fun (_x : MvPolynomial.{u1, 0} A Nat Nat.commSemiring) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, 0} A Nat Nat.commSemiring) => A) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1))) (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1))) (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1))) (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1)))))) (MvPolynomial.counitNat.{u1} A _inst_1) (MvPolynomial.X.{0, u1} Nat A Nat.commSemiring a)) a
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.counit_nat_X MvPolynomial.counitNat_Xₓ'. -/
 @[simp]
 theorem counitNat_X (a : A) : counitNat A (X a) = a :=

93287238

bump to nightly-2023-05-08-22

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

63e712c6

Diff

@@ -81,7 +81,7 @@ theorem ACounit_surjective : Surjective (ACounit A B) := fun b => ⟨X b, ACouni
 lean 3 declaration is
   forall (R : Type.{u1}) [_inst_3 : CommRing.{u1} R], RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u1} Int R Int.commSemiring))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3)))
 but is expected to have type
-  forall (R : Type.{u1}) [_inst_3 : CommRing.{u1} R], RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3)))
+  forall (R : Type.{u1}) [_inst_3 : CommRing.{u1} R], RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.counit MvPolynomial.counitₓ'. -/
 /-- `mv_polynomial.counit R` is the natural surjective ring homomorphism
 `mv_polynomial R ℤ →+* R` obtained by `X r ↦ r`.
@@ -107,7 +107,7 @@ noncomputable def counitNat : MvPolynomial A ℕ →+* A :=
 lean 3 declaration is
   forall (R : Type.{u1}) [_inst_3 : CommRing.{u1} R], Function.Surjective.{succ u1, succ u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) R (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u1} Int R Int.commSemiring))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3)))) (fun (_x : RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u1} Int R Int.commSemiring))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3)))) => (MvPolynomial.{u1, 0} R Int Int.commSemiring) -> R) (RingHom.hasCoeToFun.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u1} Int R Int.commSemiring))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3)))) (MvPolynomial.counit.{u1} R _inst_3))
 but is expected to have type
-  forall (R : Type.{u1}) [_inst_3 : CommRing.{u1} R], Function.Surjective.{succ u1, succ u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (fun (_x : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3))) (RingHom.instRingHomClassRingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3))))))) (MvPolynomial.counit.{u1} R _inst_3))
+  forall (R : Type.{u1}) [_inst_3 : CommRing.{u1} R], Function.Surjective.{succ u1, succ u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (fun (_x : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))) (RingHom.instRingHomClassRingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))))))) (MvPolynomial.counit.{u1} R _inst_3))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.counit_surjective MvPolynomial.counit_surjectiveₓ'. -/
 theorem counit_surjective : Surjective (counit R) :=
   ACounit_surjective ℤ R
@@ -127,7 +127,7 @@ theorem counitNat_surjective : Surjective (counitNat A) :=
 lean 3 declaration is
   forall (R : Type.{u1}) [_inst_3 : CommRing.{u1} R] (n : Int), Eq.{succ u1} R (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u1} Int R Int.commSemiring))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3)))) (fun (_x : RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u1} Int R Int.commSemiring))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3)))) => (MvPolynomial.{u1, 0} R Int Int.commSemiring) -> R) (RingHom.hasCoeToFun.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u1} Int R Int.commSemiring))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3)))) (MvPolynomial.counit.{u1} R _inst_3) (coeFn.{succ u1, succ u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.commSemiring) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u1} Int R Int.commSemiring)))) (fun (_x : RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.commSemiring) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u1} Int R Int.commSemiring)))) => Int -> (MvPolynomial.{u1, 0} R Int Int.commSemiring)) (RingHom.hasCoeToFun.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.commSemiring) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u1} Int R Int.commSemiring)))) (MvPolynomial.C.{0, u1} Int R Int.commSemiring) n)) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int R (HasLiftT.mk.{1, succ u1} Int R (CoeTCₓ.coe.{1, succ u1} Int R (Int.castCoe.{u1} R (AddGroupWithOne.toHasIntCast.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (CommRing.toRing.{u1} R _inst_3))))))) n)
 but is expected to have type
-  forall (R : Type.{u1}) [_inst_3 : CommRing.{u1} R] (n : Int), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => R) (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (fun (a : Int) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Int) => MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) a) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toMul.{0} Int (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)))) (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (RingHom.instRingHomClassRingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))))) (MvPolynomial.C.{0, u1} Int R Int.instCommSemiringInt) n)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (fun (_x : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))) (NonUnitalNonAssocSemiring.toMul.{u1} R 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Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))))) (MvPolynomial.C.{0, u1} Int R Int.instCommSemiringInt) n)) (CommRing.toRing.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => R) (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (fun (a : Int) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Int) => MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) a) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toMul.{0} Int (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)))) (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (RingHom.instRingHomClassRingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))))) (MvPolynomial.C.{0, u1} Int R Int.instCommSemiringInt) n)) _inst_3)) n)
+  forall (R : Type.{u1}) [_inst_3 : CommRing.{u1} R] (n : Int), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => R) (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (fun (a : Int) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Int) => MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) a) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toMul.{0} Int (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)))) (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (RingHom.instRingHomClassRingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))))) (MvPolynomial.C.{0, u1} Int R Int.instCommSemiringInt) n)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (fun (_x : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))) (RingHom.instRingHomClassRingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))))))) (MvPolynomial.counit.{u1} R _inst_3) (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (fun (_x : Int) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Int) => MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) _x) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toMul.{0} Int (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)))) (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (RingHom.instRingHomClassRingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))))) (MvPolynomial.C.{0, u1} Int R Int.instCommSemiringInt) n)) (Int.cast.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => R) (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (fun (a : Int) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Int) => MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) a) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toMul.{0} Int (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)))) (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (RingHom.instRingHomClassRingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))))) (MvPolynomial.C.{0, u1} Int R Int.instCommSemiringInt) n)) (Ring.toIntCast.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => R) (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (fun (a : Int) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Int) => MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) a) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toMul.{0} Int (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)))) (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (RingHom.instRingHomClassRingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))))) (MvPolynomial.C.{0, u1} Int R Int.instCommSemiringInt) n)) (CommRing.toRing.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => R) (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (fun (a : Int) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Int) => MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) a) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toMul.{0} Int (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)))) (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (RingHom.instRingHomClassRingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))))) (MvPolynomial.C.{0, u1} Int R Int.instCommSemiringInt) n)) _inst_3)) n)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.counit_C MvPolynomial.counit_Cₓ'. -/
 theorem counit_C (n : ℤ) : counit R (C n) = n :=
   ACounit_C _ _
@@ -149,7 +149,7 @@ variable {R A}
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_3 : CommRing.{u1} R] (r : R), Eq.{succ u1} R (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u1} Int R Int.commSemiring))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3)))) (fun (_x : RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u1} Int R Int.commSemiring))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3)))) => (MvPolynomial.{u1, 0} R Int Int.commSemiring) -> R) (RingHom.hasCoeToFun.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u1} Int R Int.commSemiring))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3)))) (MvPolynomial.counit.{u1} R _inst_3) (MvPolynomial.X.{0, u1} Int R Int.commSemiring r)) r
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_3 : CommRing.{u1} R] (r : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => R) (MvPolynomial.X.{0, u1} Int R Int.instCommSemiringInt r)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (fun (_x : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3))) (RingHom.instRingHomClassRingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3))))))) (MvPolynomial.counit.{u1} R _inst_3) (MvPolynomial.X.{0, u1} Int R Int.instCommSemiringInt r)) r
+  forall {R : Type.{u1}} [_inst_3 : CommRing.{u1} R] (r : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => R) (MvPolynomial.X.{0, u1} Int R Int.instCommSemiringInt r)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (fun (_x : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))) (RingHom.instRingHomClassRingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_3))))))) (MvPolynomial.counit.{u1} R _inst_3) (MvPolynomial.X.{0, u1} Int R Int.instCommSemiringInt r)) r
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.counit_X MvPolynomial.counit_Xₓ'. -/
 @[simp]
 theorem counit_X (r : R) : counit R (X r) = r :=

93287238

bump to nightly-2023-03-27-02

mathlib commit https://github.com/leanprover-community/mathlib/commit/ce86f4e05e9a9b8da5e316b22c76ce76440c56a1

0e4ebd8c

Diff

@@ -125,7 +125,7 @@ theorem counitNat_surjective : Surjective (counitNat A) :=
 
 /- warning: mv_polynomial.counit_C -> MvPolynomial.counit_C is a dubious translation:
 lean 3 declaration is
-  forall (R : Type.{u1}) [_inst_3 : CommRing.{u1} R] (n : Int), Eq.{succ u1} R (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u1} Int R Int.commSemiring))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3)))) (fun (_x : RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u1} Int R Int.commSemiring))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3)))) => (MvPolynomial.{u1, 0} R Int Int.commSemiring) -> R) (RingHom.hasCoeToFun.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u1} Int R Int.commSemiring))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3)))) (MvPolynomial.counit.{u1} R _inst_3) (coeFn.{succ u1, succ u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.commSemiring) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u1} Int R Int.commSemiring)))) (fun (_x : RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.commSemiring) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u1} Int R Int.commSemiring)))) => Int -> (MvPolynomial.{u1, 0} R Int Int.commSemiring)) (RingHom.hasCoeToFun.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.commSemiring) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u1} Int R Int.commSemiring)))) (MvPolynomial.C.{0, u1} Int R Int.commSemiring) n)) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int R (HasLiftT.mk.{1, succ u1} Int R (CoeTCₓ.coe.{1, succ u1} Int R (Int.castCoe.{u1} R (AddGroupWithOne.toHasIntCast.{u1} R (NonAssocRing.toAddGroupWithOne.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3))))))) n)
+  forall (R : Type.{u1}) [_inst_3 : CommRing.{u1} R] (n : Int), Eq.{succ u1} R (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u1} Int R Int.commSemiring))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3)))) (fun (_x : RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u1} Int R Int.commSemiring))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3)))) => (MvPolynomial.{u1, 0} R Int Int.commSemiring) -> R) (RingHom.hasCoeToFun.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u1} Int R Int.commSemiring))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3)))) (MvPolynomial.counit.{u1} R _inst_3) (coeFn.{succ u1, succ u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.commSemiring) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u1} Int R Int.commSemiring)))) (fun (_x : RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.commSemiring) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u1} Int R Int.commSemiring)))) => Int -> (MvPolynomial.{u1, 0} R Int Int.commSemiring)) (RingHom.hasCoeToFun.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.commSemiring) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.commSemiring)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u1} Int R Int.commSemiring)))) (MvPolynomial.C.{0, u1} Int R Int.commSemiring) n)) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int R (HasLiftT.mk.{1, succ u1} Int R (CoeTCₓ.coe.{1, succ u1} Int R (Int.castCoe.{u1} R (AddGroupWithOne.toHasIntCast.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (CommRing.toRing.{u1} R _inst_3))))))) n)
 but is expected to have type
   forall (R : Type.{u1}) [_inst_3 : CommRing.{u1} R] (n : Int), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => R) (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (fun (a : Int) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Int) => MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) a) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toMul.{0} Int (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)))) (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (RingHom.instRingHomClassRingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))))) (MvPolynomial.C.{0, u1} Int R Int.instCommSemiringInt) n)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (fun (_x : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => R) _x) 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(NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3)))) (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3))) (RingHom.instRingHomClassRingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3))))))) (MvPolynomial.counit.{u1} R _inst_3) (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (fun (_x : Int) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Int) => MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) _x) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toMul.{0} Int (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)))) (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int 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0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (RingHom.instRingHomClassRingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))))) (MvPolynomial.C.{0, u1} Int R Int.instCommSemiringInt) n)) (Int.cast.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => R) (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) 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(MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R 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(Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int 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(Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))))) (MvPolynomial.C.{0, u1} Int R Int.instCommSemiringInt) n)) _inst_3)) n)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.counit_C MvPolynomial.counit_Cₓ'. -/

93287238

bump to nightly-2023-03-19-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/1f4705ccdfe1e557fc54a0ce081a05e33d2e6240

b19efad4

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johan Commelin
 
 ! This file was ported from Lean 3 source module data.mv_polynomial.counit
-! leanprover-community/mathlib commit abb3121f210743a930dea73cd766d988079bdf8b
+! leanprover-community/mathlib commit 932872382355f00112641d305ba0619305dc8642
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -13,6 +13,9 @@ import Mathbin.Data.MvPolynomial.Basic
 /-!
 ## Counit morphisms for multivariate polynomials
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 One may consider the ring of multivariate polynomials `mv_polynomial A R` with coefficients in `R`
 and variables indexed by `A`. If `A` is not just a type, but an algebra over `R`,
 then there is a natural surjective algebra homomorphism `mv_polynomial A R →ₐ[R] A`

abb3121f

bump to nightly-2023-03-15-14

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

8a291292

Diff

@@ -34,79 +34,135 @@ open Function
 
 variable (A B R : Type _) [CommSemiring A] [CommSemiring B] [CommRing R] [Algebra A B]
 
+#print MvPolynomial.ACounit /-
 /-- `mv_polynomial.acounit A B` is the natural surjective algebra homomorphism
 `mv_polynomial B A →ₐ[A] B` obtained by `X a ↦ a`.
 
 See `mv_polynomial.counit` for the “absolute” variant with `A = ℤ`,
 and `mv_polynomial.counit_nat` for the “absolute” variant with `A = ℕ`. -/
-noncomputable def acounit : MvPolynomial B A →ₐ[A] B :=
+noncomputable def ACounit : MvPolynomial B A →ₐ[A] B :=
   aeval id
-#align mv_polynomial.acounit MvPolynomial.acounit
+#align mv_polynomial.acounit MvPolynomial.ACounit
+-/
 
 variable {B}
 
+#print MvPolynomial.ACounit_X /-
 @[simp]
-theorem acounit_x (b : B) : acounit A B (X b) = b :=
+theorem ACounit_X (b : B) : ACounit A B (X b) = b :=
   aeval_X _ b
-#align mv_polynomial.acounit_X MvPolynomial.acounit_x
+#align mv_polynomial.acounit_X MvPolynomial.ACounit_X
+-/
 
 variable {A} (B)
 
+#print MvPolynomial.ACounit_C /-
 @[simp]
-theorem acounit_c (a : A) : acounit A B (C a) = algebraMap A B a :=
+theorem ACounit_C (a : A) : ACounit A B (C a) = algebraMap A B a :=
   aeval_C _ a
-#align mv_polynomial.acounit_C MvPolynomial.acounit_c
+#align mv_polynomial.acounit_C MvPolynomial.ACounit_C
+-/
 
 variable (A)
 
-theorem acounit_surjective : Surjective (acounit A B) := fun b => ⟨X b, acounit_x A b⟩
-#align mv_polynomial.acounit_surjective MvPolynomial.acounit_surjective
-
+/- warning: mv_polynomial.acounit_surjective -> MvPolynomial.ACounit_surjective is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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(CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} B A _inst_1) (MvPolynomial.commSemiring.{u2, u1} A B _inst_1)) (CommSemiring.toSemiring.{u1} B _inst_2) (MvPolynomial.algebra.{u2, u2, u1} A A B _inst_1 _inst_1 (Algebra.id.{u2} A _inst_1)) _inst_4))))) (MvPolynomial.ACounit.{u2, u1} A B _inst_1 _inst_2 _inst_4))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.acounit_surjective MvPolynomial.ACounit_surjectiveₓ'. -/
+theorem ACounit_surjective : Surjective (ACounit A B) := fun b => ⟨X b, ACounit_X A b⟩
+#align mv_polynomial.acounit_surjective MvPolynomial.ACounit_surjective
+
+/- warning: mv_polynomial.counit -> MvPolynomial.counit is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) [_inst_3 : CommRing.{u1} R], RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.commSemiring) (MvPolynomial.commSemiring.{0, u1} Int R Int.commSemiring))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3)))
+but is expected to have type
+  forall (R : Type.{u1}) [_inst_3 : CommRing.{u1} R], RingHom.{u1, u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) R (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3)))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.counit MvPolynomial.counitₓ'. -/
 /-- `mv_polynomial.counit R` is the natural surjective ring homomorphism
 `mv_polynomial R ℤ →+* R` obtained by `X r ↦ r`.
 
 See `mv_polynomial.acounit` for a “relative” variant for algebras over a base ring,
 and `mv_polynomial.counit_nat` for the “absolute” variant with `R = ℕ`. -/
 noncomputable def counit : MvPolynomial R ℤ →+* R :=
-  acounit ℤ R
+  ACounit ℤ R
 #align mv_polynomial.counit MvPolynomial.counit
 
+#print MvPolynomial.counitNat /-
 /-- `mv_polynomial.counit_nat A` is the natural surjective ring homomorphism
 `mv_polynomial A ℕ →+* A` obtained by `X a ↦ a`.
 
 See `mv_polynomial.acounit` for a “relative” variant for algebras over a base ring
 and `mv_polynomial.counit` for the “absolute” variant with `A = ℤ`. -/
 noncomputable def counitNat : MvPolynomial A ℕ →+* A :=
-  acounit ℕ A
+  ACounit ℕ A
 #align mv_polynomial.counit_nat MvPolynomial.counitNat
+-/
 
+/- warning: mv_polynomial.counit_surjective -> MvPolynomial.counit_surjective is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align mv_polynomial.counit_surjective MvPolynomial.counit_surjectiveₓ'. -/
 theorem counit_surjective : Surjective (counit R) :=
-  acounit_surjective ℤ R
+  ACounit_surjective ℤ R
 #align mv_polynomial.counit_surjective MvPolynomial.counit_surjective
 
+/- warning: mv_polynomial.counit_nat_surjective -> MvPolynomial.counitNat_surjective is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align mv_polynomial.counit_nat_surjective MvPolynomial.counitNat_surjectiveₓ'. -/
 theorem counitNat_surjective : Surjective (counitNat A) :=
-  acounit_surjective ℕ A
+  ACounit_surjective ℕ A
 #align mv_polynomial.counit_nat_surjective MvPolynomial.counitNat_surjective
 
-theorem counit_c (n : ℤ) : counit R (C n) = n :=
-  acounit_c _ _
-#align mv_polynomial.counit_C MvPolynomial.counit_c
-
-theorem counitNat_c (n : ℕ) : counitNat A (C n) = n :=
-  acounit_c _ _
-#align mv_polynomial.counit_nat_C MvPolynomial.counitNat_c
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Int) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Int) => MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) _x) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toMul.{0} Int (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)))) (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int 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0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) 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(MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (RingHom.instRingHomClassRingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))))) (MvPolynomial.C.{0, u1} Int R Int.instCommSemiringInt) n)) (Ring.toIntCast.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 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(Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (RingHom.instRingHomClassRingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))))) (MvPolynomial.C.{0, u1} Int R Int.instCommSemiringInt) n)) (CommRing.toRing.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) => R) (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (fun (a : Int) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Int) => MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) a) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonUnitalNonAssocSemiring.toMul.{0} Int (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)))) (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Int (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt)))) Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))) (RingHom.instRingHomClassRingHom.{0, u1} Int (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (Semiring.toNonAssocSemiring.{0} Int (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt)) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} R Int Int.instCommSemiringInt) (MvPolynomial.commSemiring.{0, u1} Int R Int.instCommSemiringInt))))))) (MvPolynomial.C.{0, u1} Int R Int.instCommSemiringInt) n)) _inst_3)) n)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.counit_C MvPolynomial.counit_Cₓ'. -/
+theorem counit_C (n : ℤ) : counit R (C n) = n :=
+  ACounit_C _ _
+#align mv_polynomial.counit_C MvPolynomial.counit_C
+
+/- warning: mv_polynomial.counit_nat_C -> MvPolynomial.counitNat_C is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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(MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))))))) (MvPolynomial.C.{0, u1} Nat A Nat.commSemiring) n)) _inst_1)) n)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.counit_nat_C MvPolynomial.counitNat_Cₓ'. -/
+theorem counitNat_C (n : ℕ) : counitNat A (C n) = n :=
+  ACounit_C _ _
+#align mv_polynomial.counit_nat_C MvPolynomial.counitNat_C
 
 variable {R A}
 
+/- warning: mv_polynomial.counit_X -> MvPolynomial.counit_X is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align mv_polynomial.counit_X MvPolynomial.counit_Xₓ'. -/
 @[simp]
-theorem counit_x (r : R) : counit R (X r) = r :=
-  acounit_x _ _
-#align mv_polynomial.counit_X MvPolynomial.counit_x
-
+theorem counit_X (r : R) : counit R (X r) = r :=
+  ACounit_X _ _
+#align mv_polynomial.counit_X MvPolynomial.counit_X
+
+/- warning: mv_polynomial.counit_nat_X -> MvPolynomial.counitNat_X is a dubious translation:
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+  forall {A : Type.{u1}} [_inst_1 : CommSemiring.{u1} A] (a : A), Eq.{succ u1} A (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1))) (fun (_x : RingHom.{u1, u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1))) => (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) -> A) (RingHom.hasCoeToFun.{u1, u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1))) (MvPolynomial.counitNat.{u1} A _inst_1) (MvPolynomial.X.{0, u1} Nat A Nat.commSemiring a)) a
+but is expected to have type
+  forall {A : Type.{u1}} [_inst_1 : CommSemiring.{u1} A] (a : A), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, 0} A Nat Nat.commSemiring) => A) (MvPolynomial.X.{0, u1} Nat A Nat.commSemiring a)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1))) (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (fun (_x : MvPolynomial.{u1, 0} A Nat Nat.commSemiring) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, 0} A Nat Nat.commSemiring) => A) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1))) (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (NonUnitalNonAssocSemiring.toMul.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1))) (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1))) (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) A (Semiring.toNonAssocSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (CommSemiring.toSemiring.{u1} (MvPolynomial.{u1, 0} A Nat Nat.commSemiring) (MvPolynomial.commSemiring.{0, u1} Nat A Nat.commSemiring))) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_1)))))) (MvPolynomial.counitNat.{u1} A _inst_1) (MvPolynomial.X.{0, u1} Nat A Nat.commSemiring a)) a
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.counit_nat_X MvPolynomial.counitNat_Xₓ'. -/
 @[simp]
-theorem counitNat_x (a : A) : counitNat A (X a) = a :=
-  acounit_x _ _
-#align mv_polynomial.counit_nat_X MvPolynomial.counitNat_x
+theorem counitNat_X (a : A) : counitNat A (X a) = a :=
+  ACounit_X _ _
+#align mv_polynomial.counit_nat_X MvPolynomial.counitNat_X
 
 end MvPolynomial

abb3121f

bump to nightly-2023-03-15-10

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

f73428b0

Diff

@@ -46,20 +46,20 @@ noncomputable def acounit : MvPolynomial B A →ₐ[A] B :=
 variable {B}
 
 @[simp]
-theorem acounit_x (b : B) : acounit A B (x b) = b :=
-  aeval_x _ b
+theorem acounit_x (b : B) : acounit A B (X b) = b :=
+  aeval_X _ b
 #align mv_polynomial.acounit_X MvPolynomial.acounit_x
 
 variable {A} (B)
 
 @[simp]
-theorem acounit_c (a : A) : acounit A B (c a) = algebraMap A B a :=
-  aeval_c _ a
+theorem acounit_c (a : A) : acounit A B (C a) = algebraMap A B a :=
+  aeval_C _ a
 #align mv_polynomial.acounit_C MvPolynomial.acounit_c
 
 variable (A)
 
-theorem acounit_surjective : Surjective (acounit A B) := fun b => ⟨x b, acounit_x A b⟩
+theorem acounit_surjective : Surjective (acounit A B) := fun b => ⟨X b, acounit_x A b⟩
 #align mv_polynomial.acounit_surjective MvPolynomial.acounit_surjective
 
 /-- `mv_polynomial.counit R` is the natural surjective ring homomorphism
@@ -88,23 +88,23 @@ theorem counitNat_surjective : Surjective (counitNat A) :=
   acounit_surjective ℕ A
 #align mv_polynomial.counit_nat_surjective MvPolynomial.counitNat_surjective
 
-theorem counit_c (n : ℤ) : counit R (c n) = n :=
+theorem counit_c (n : ℤ) : counit R (C n) = n :=
   acounit_c _ _
 #align mv_polynomial.counit_C MvPolynomial.counit_c
 
-theorem counitNat_c (n : ℕ) : counitNat A (c n) = n :=
+theorem counitNat_c (n : ℕ) : counitNat A (C n) = n :=
   acounit_c _ _
 #align mv_polynomial.counit_nat_C MvPolynomial.counitNat_c
 
 variable {R A}
 
 @[simp]
-theorem counit_x (r : R) : counit R (x r) = r :=
+theorem counit_x (r : R) : counit R (X r) = r :=
   acounit_x _ _
 #align mv_polynomial.counit_X MvPolynomial.counit_x
 
 @[simp]
-theorem counitNat_x (a : A) : counitNat A (x a) = a :=
+theorem counitNat_x (a : A) : counitNat A (X a) = a :=
   acounit_x _ _
 #align mv_polynomial.counit_nat_X MvPolynomial.counitNat_x

abb3121f

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

abb3121f

move(Polynomial): Move out of Data (#11751)

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

56e439ec

Diff

@@ -3,7 +3,7 @@ Copyright (c) 2020 Johan Commelin. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johan Commelin
 -/
-import Mathlib.Data.MvPolynomial.Basic
+import Mathlib.Algebra.MvPolynomial.Basic
 
 #align_import data.mv_polynomial.counit from "leanprover-community/mathlib"@"abb3121f210743a930dea73cd766d988079bdf8b"

abb3121f

chore: banish Type _ and Sort _ (#6499)

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

This has nice performance benefits.

32de3f67

Diff

@@ -29,7 +29,7 @@ namespace MvPolynomial
 
 open Function
 
-variable (A B R : Type _) [CommSemiring A] [CommSemiring B] [CommRing R] [Algebra A B]
+variable (A B R : Type*) [CommSemiring A] [CommSemiring B] [CommRing R] [Algebra A B]
 
 /-- `MvPolynomial.ACounit A B` is the natural surjective algebra homomorphism
 `MvPolynomial B A →ₐ[A] B` obtained by `X a ↦ a`.

abb3121f

chore: script to replace headers with #align_import statements (#5979)

depends on: #5966

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

89aa3a3b

Diff

@@ -2,14 +2,11 @@
 Copyright (c) 2020 Johan Commelin. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johan Commelin
-
-! This file was ported from Lean 3 source module data.mv_polynomial.counit
-! leanprover-community/mathlib commit abb3121f210743a930dea73cd766d988079bdf8b
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Data.MvPolynomial.Basic
 
+#align_import data.mv_polynomial.counit from "leanprover-community/mathlib"@"abb3121f210743a930dea73cd766d988079bdf8b"
+
 /-!
 ## Counit morphisms for multivariate polynomials

abb3121f

feat: port Data.MvPolynomial.Counit (#2900)

Co-authored-by: Parcly Taxel <reddeloostw@gmail.com>

06fd98b8

`data.mv_polynomial.counit` ⟷ `Mathlib.Data.MvPolynomial.Counit`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 8 + 464

data.mv_polynomial.counit ⟷ Mathlib.Data.MvPolynomial.Counit

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 8 + 464

`data.mv_polynomial.counit` ⟷ `Mathlib.Data.MvPolynomial.Counit`