data.mv_polynomial.expand | 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

5da451b4

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

d64d67d0

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, Robert Y. Lewis
 -/
-import Data.MvPolynomial.Monad
+import Algebra.MvPolynomial.Monad
 
 #align_import data.mv_polynomial.expand from "leanprover-community/mathlib"@"d64d67d000b974f0d86a2be7918cf800be6271c8"

d64d67d0

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, Robert Y. Lewis
 -/
-import Mathbin.Data.MvPolynomial.Monad
+import Data.MvPolynomial.Monad
 
 #align_import data.mv_polynomial.expand from "leanprover-community/mathlib"@"d64d67d000b974f0d86a2be7918cf800be6271c8"

d64d67d0

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, Robert Y. Lewis
-
-! This file was ported from Lean 3 source module data.mv_polynomial.expand
-! leanprover-community/mathlib commit d64d67d000b974f0d86a2be7918cf800be6271c8
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Data.MvPolynomial.Monad
 
+#align_import data.mv_polynomial.expand from "leanprover-community/mathlib"@"d64d67d000b974f0d86a2be7918cf800be6271c8"
+
 /-!
 ## Expand multivariate polynomials

d64d67d0

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -42,58 +42,78 @@ noncomputable def expand (p : ℕ) : MvPolynomial σ R →ₐ[R] MvPolynomial σ
 #align mv_polynomial.expand MvPolynomial.expand
 -/
 
+#print MvPolynomial.expand_C /-
 @[simp]
 theorem expand_C (p : ℕ) (r : R) : expand p (C r : MvPolynomial σ R) = C r :=
   eval₂Hom_C _ _ _
 #align mv_polynomial.expand_C MvPolynomial.expand_C
+-/
 
+#print MvPolynomial.expand_X /-
 @[simp]
 theorem expand_X (p : ℕ) (i : σ) : expand p (X i : MvPolynomial σ R) = X i ^ p :=
   eval₂Hom_X' _ _ _
 #align mv_polynomial.expand_X MvPolynomial.expand_X
+-/
 
+#print MvPolynomial.expand_monomial /-
 @[simp]
 theorem expand_monomial (p : ℕ) (d : σ →₀ ℕ) (r : R) :
     expand p (monomial d r) = C r * ∏ i in d.support, (X i ^ p) ^ d i :=
   bind₁_monomial _ _ _
 #align mv_polynomial.expand_monomial MvPolynomial.expand_monomial
+-/
 
+#print MvPolynomial.expand_one_apply /-
 theorem expand_one_apply (f : MvPolynomial σ R) : expand 1 f = f := by
   simp only [expand, bind₁_X_left, AlgHom.id_apply, RingHom.toFun_eq_coe, eval₂_hom_C_left,
     AlgHom.coe_toRingHom, pow_one, AlgHom.coe_mks]
 #align mv_polynomial.expand_one_apply MvPolynomial.expand_one_apply
+-/
 
+#print MvPolynomial.expand_one /-
 @[simp]
 theorem expand_one : expand 1 = AlgHom.id R (MvPolynomial σ R) := by ext1 f;
   rw [expand_one_apply, AlgHom.id_apply]
 #align mv_polynomial.expand_one MvPolynomial.expand_one
+-/
 
+#print MvPolynomial.expand_comp_bind₁ /-
 theorem expand_comp_bind₁ (p : ℕ) (f : σ → MvPolynomial τ R) :
     (expand p).comp (bind₁ f) = bind₁ fun i => expand p (f i) := by apply alg_hom_ext; intro i;
   simp only [AlgHom.comp_apply, bind₁_X_right]
 #align mv_polynomial.expand_comp_bind₁ MvPolynomial.expand_comp_bind₁
+-/
 
+#print MvPolynomial.expand_bind₁ /-
 theorem expand_bind₁ (p : ℕ) (f : σ → MvPolynomial τ R) (φ : MvPolynomial σ R) :
     expand p (bind₁ f φ) = bind₁ (fun i => expand p (f i)) φ := by
   rw [← AlgHom.comp_apply, expand_comp_bind₁]
 #align mv_polynomial.expand_bind₁ MvPolynomial.expand_bind₁
+-/
 
+#print MvPolynomial.map_expand /-
 @[simp]
 theorem map_expand (f : R →+* S) (p : ℕ) (φ : MvPolynomial σ R) :
     map f (expand p φ) = expand p (map f φ) := by simp [expand, map_bind₁]
 #align mv_polynomial.map_expand MvPolynomial.map_expand
+-/
 
+#print MvPolynomial.rename_expand /-
 @[simp]
 theorem rename_expand (f : σ → τ) (p : ℕ) (φ : MvPolynomial σ R) :
     rename f (expand p φ) = expand p (rename f φ) := by simp [expand, bind₁_rename, rename_bind₁]
 #align mv_polynomial.rename_expand MvPolynomial.rename_expand
+-/
 
+#print MvPolynomial.rename_comp_expand /-
 @[simp]
 theorem rename_comp_expand (f : σ → τ) (p : ℕ) :
     (rename f).comp (expand p) =
       (expand p).comp (rename f : MvPolynomial σ R →ₐ[R] MvPolynomial τ R) :=
   by ext1 φ; simp only [rename_expand, AlgHom.comp_apply]
 #align mv_polynomial.rename_comp_expand MvPolynomial.rename_comp_expand
+-/
 
 end MvPolynomial

d64d67d0

bump to nightly-2023-05-28-18

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

8d353152

Diff

@@ -26,7 +26,7 @@ This operation is called `mv_polynomial.expand` and it is an algebra homomorphis
 -/
 
 
-open BigOperators
+open scoped BigOperators
 
 namespace MvPolynomial

d64d67d0

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -42,88 +42,52 @@ noncomputable def expand (p : ℕ) : MvPolynomial σ R →ₐ[R] MvPolynomial σ
 #align mv_polynomial.expand MvPolynomial.expand
 -/
 
-/- warning: mv_polynomial.expand_C -> MvPolynomial.expand_C is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.expand_C MvPolynomial.expand_Cₓ'. -/
 @[simp]
 theorem expand_C (p : ℕ) (r : R) : expand p (C r : MvPolynomial σ R) = C r :=
   eval₂Hom_C _ _ _
 #align mv_polynomial.expand_C MvPolynomial.expand_C
 
-/- warning: mv_polynomial.expand_X -> MvPolynomial.expand_X is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.expand_X MvPolynomial.expand_Xₓ'. -/
 @[simp]
 theorem expand_X (p : ℕ) (i : σ) : expand p (X i : MvPolynomial σ R) = X i ^ p :=
   eval₂Hom_X' _ _ _
 #align mv_polynomial.expand_X MvPolynomial.expand_X
 
-/- warning: mv_polynomial.expand_monomial -> MvPolynomial.expand_monomial is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.expand_monomial MvPolynomial.expand_monomialₓ'. -/
 @[simp]
 theorem expand_monomial (p : ℕ) (d : σ →₀ ℕ) (r : R) :
     expand p (monomial d r) = C r * ∏ i in d.support, (X i ^ p) ^ d i :=
   bind₁_monomial _ _ _
 #align mv_polynomial.expand_monomial MvPolynomial.expand_monomial
 
-/- warning: mv_polynomial.expand_one_apply -> MvPolynomial.expand_one_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.expand_one_apply MvPolynomial.expand_one_applyₓ'. -/
 theorem expand_one_apply (f : MvPolynomial σ R) : expand 1 f = f := by
   simp only [expand, bind₁_X_left, AlgHom.id_apply, RingHom.toFun_eq_coe, eval₂_hom_C_left,
     AlgHom.coe_toRingHom, pow_one, AlgHom.coe_mks]
 #align mv_polynomial.expand_one_apply MvPolynomial.expand_one_apply
 
-/- warning: mv_polynomial.expand_one -> MvPolynomial.expand_one is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align mv_polynomial.expand_one MvPolynomial.expand_oneₓ'. -/
 @[simp]
 theorem expand_one : expand 1 = AlgHom.id R (MvPolynomial σ R) := by ext1 f;
   rw [expand_one_apply, AlgHom.id_apply]
 #align mv_polynomial.expand_one MvPolynomial.expand_one
 
-/- warning: mv_polynomial.expand_comp_bind₁ -> MvPolynomial.expand_comp_bind₁ is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.expand_comp_bind₁ MvPolynomial.expand_comp_bind₁ₓ'. -/
 theorem expand_comp_bind₁ (p : ℕ) (f : σ → MvPolynomial τ R) :
     (expand p).comp (bind₁ f) = bind₁ fun i => expand p (f i) := by apply alg_hom_ext; intro i;
   simp only [AlgHom.comp_apply, bind₁_X_right]
 #align mv_polynomial.expand_comp_bind₁ MvPolynomial.expand_comp_bind₁
 
-/- warning: mv_polynomial.expand_bind₁ -> MvPolynomial.expand_bind₁ is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.expand_bind₁ MvPolynomial.expand_bind₁ₓ'. -/
 theorem expand_bind₁ (p : ℕ) (f : σ → MvPolynomial τ R) (φ : MvPolynomial σ R) :
     expand p (bind₁ f φ) = bind₁ (fun i => expand p (f i)) φ := by
   rw [← AlgHom.comp_apply, expand_comp_bind₁]
 #align mv_polynomial.expand_bind₁ MvPolynomial.expand_bind₁
 
-/- warning: mv_polynomial.map_expand -> MvPolynomial.map_expand is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_expand MvPolynomial.map_expandₓ'. -/
 @[simp]
 theorem map_expand (f : R →+* S) (p : ℕ) (φ : MvPolynomial σ R) :
     map f (expand p φ) = expand p (map f φ) := by simp [expand, map_bind₁]
 #align mv_polynomial.map_expand MvPolynomial.map_expand
 
-/- warning: mv_polynomial.rename_expand -> MvPolynomial.rename_expand is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.rename_expand MvPolynomial.rename_expandₓ'. -/
 @[simp]
 theorem rename_expand (f : σ → τ) (p : ℕ) (φ : MvPolynomial σ R) :
     rename f (expand p φ) = expand p (rename f φ) := by simp [expand, bind₁_rename, rename_bind₁]
 #align mv_polynomial.rename_expand MvPolynomial.rename_expand
 
-/- warning: mv_polynomial.rename_comp_expand -> MvPolynomial.rename_comp_expand is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align mv_polynomial.rename_comp_expand MvPolynomial.rename_comp_expandₓ'. -/
 @[simp]
 theorem rename_comp_expand (f : σ → τ) (p : ℕ) :
     (rename f).comp (expand p) =

d64d67d0

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -82,9 +82,7 @@ but is expected to have type
   forall {σ : Type.{u2}} {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} (AlgHom.{u1, max u1 u2, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (MvPolynomial.expand.{u2, u1} σ R _inst_1 (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) (AlgHom.id.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.expand_one MvPolynomial.expand_oneₓ'. -/
 @[simp]
-theorem expand_one : expand 1 = AlgHom.id R (MvPolynomial σ R) :=
-  by
-  ext1 f
+theorem expand_one : expand 1 = AlgHom.id R (MvPolynomial σ R) := by ext1 f;
   rw [expand_one_apply, AlgHom.id_apply]
 #align mv_polynomial.expand_one MvPolynomial.expand_one
 
@@ -92,10 +90,7 @@ theorem expand_one : expand 1 = AlgHom.id R (MvPolynomial σ R) :=
 <too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.expand_comp_bind₁ MvPolynomial.expand_comp_bind₁ₓ'. -/
 theorem expand_comp_bind₁ (p : ℕ) (f : σ → MvPolynomial τ R) :
-    (expand p).comp (bind₁ f) = bind₁ fun i => expand p (f i) :=
-  by
-  apply alg_hom_ext
-  intro i
+    (expand p).comp (bind₁ f) = bind₁ fun i => expand p (f i) := by apply alg_hom_ext; intro i;
   simp only [AlgHom.comp_apply, bind₁_X_right]
 #align mv_polynomial.expand_comp_bind₁ MvPolynomial.expand_comp_bind₁
 
@@ -133,9 +128,7 @@ Case conversion may be inaccurate. Consider using '#align mv_polynomial.rename_c
 theorem rename_comp_expand (f : σ → τ) (p : ℕ) :
     (rename f).comp (expand p) =
       (expand p).comp (rename f : MvPolynomial σ R →ₐ[R] MvPolynomial τ R) :=
-  by
-  ext1 φ
-  simp only [rename_expand, AlgHom.comp_apply]
+  by ext1 φ; simp only [rename_expand, AlgHom.comp_apply]
 #align mv_polynomial.rename_comp_expand MvPolynomial.rename_comp_expand
 
 end MvPolynomial

d64d67d0

bump to nightly-2023-05-28-03

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

6c6011cf

Diff

@@ -43,10 +43,7 @@ noncomputable def expand (p : ℕ) : MvPolynomial σ R →ₐ[R] MvPolynomial σ
 -/
 
 /- warning: mv_polynomial.expand_C -> MvPolynomial.expand_C is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.expand_C MvPolynomial.expand_Cₓ'. -/
 @[simp]
 theorem expand_C (p : ℕ) (r : R) : expand p (C r : MvPolynomial σ R) = C r :=
@@ -54,10 +51,7 @@ theorem expand_C (p : ℕ) (r : R) : expand p (C r : MvPolynomial σ R) = C r :=
 #align mv_polynomial.expand_C MvPolynomial.expand_C
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.expand_X MvPolynomial.expand_Xₓ'. -/
 @[simp]
 theorem expand_X (p : ℕ) (i : σ) : expand p (X i : MvPolynomial σ R) = X i ^ p :=
@@ -65,10 +59,7 @@ theorem expand_X (p : ℕ) (i : σ) : expand p (X i : MvPolynomial σ R) = X i ^
 #align mv_polynomial.expand_X MvPolynomial.expand_X
 
 /- warning: mv_polynomial.expand_monomial -> MvPolynomial.expand_monomial is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.expand_monomial MvPolynomial.expand_monomialₓ'. -/
 @[simp]
 theorem expand_monomial (p : ℕ) (d : σ →₀ ℕ) (r : R) :
@@ -77,10 +68,7 @@ theorem expand_monomial (p : ℕ) (d : σ →₀ ℕ) (r : R) :
 #align mv_polynomial.expand_monomial MvPolynomial.expand_monomial
 
 /- warning: mv_polynomial.expand_one_apply -> MvPolynomial.expand_one_apply is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.expand_one_apply MvPolynomial.expand_one_applyₓ'. -/
 theorem expand_one_apply (f : MvPolynomial σ R) : expand 1 f = f := by
   simp only [expand, bind₁_X_left, AlgHom.id_apply, RingHom.toFun_eq_coe, eval₂_hom_C_left,
@@ -101,10 +89,7 @@ theorem expand_one : expand 1 = AlgHom.id R (MvPolynomial σ R) :=
 #align mv_polynomial.expand_one MvPolynomial.expand_one
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.expand_comp_bind₁ MvPolynomial.expand_comp_bind₁ₓ'. -/
 theorem expand_comp_bind₁ (p : ℕ) (f : σ → MvPolynomial τ R) :
     (expand p).comp (bind₁ f) = bind₁ fun i => expand p (f i) :=
@@ -115,10 +100,7 @@ theorem expand_comp_bind₁ (p : ℕ) (f : σ → MvPolynomial τ R) :
 #align mv_polynomial.expand_comp_bind₁ MvPolynomial.expand_comp_bind₁
 
 /- warning: mv_polynomial.expand_bind₁ -> MvPolynomial.expand_bind₁ is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.expand_bind₁ MvPolynomial.expand_bind₁ₓ'. -/
 theorem expand_bind₁ (p : ℕ) (f : σ → MvPolynomial τ R) (φ : MvPolynomial σ R) :
     expand p (bind₁ f φ) = bind₁ (fun i => expand p (f i)) φ := by
@@ -126,10 +108,7 @@ theorem expand_bind₁ (p : ℕ) (f : σ → MvPolynomial τ R) (φ : MvPolynomi
 #align mv_polynomial.expand_bind₁ MvPolynomial.expand_bind₁
 
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S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ S _inst_2) (MvPolynomial.commSemiring.{u2, u1} S σ _inst_2))))) (Algebra.toModule.{u2, max u2 u1} S (MvPolynomial.{u1, u2} σ S _inst_2) _inst_2 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ S _inst_2) (MvPolynomial.commSemiring.{u2, u1} S σ _inst_2)) (MvPolynomial.algebra.{u2, u2, u1} S S σ _inst_2 _inst_2 (Algebra.id.{u2} S _inst_2)))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u2 u1, max u2 u1, max u2 u1} S (MvPolynomial.{u1, u2} σ S 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_inst_2))) (AlgHom.algHomClass.{u2, max u2 u1, max u2 u1} S (MvPolynomial.{u1, u2} σ S _inst_2) (MvPolynomial.{u1, u2} σ S _inst_2) _inst_2 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ S _inst_2) (MvPolynomial.commSemiring.{u2, u1} S σ _inst_2)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ S _inst_2) (MvPolynomial.commSemiring.{u2, u1} S σ _inst_2)) (MvPolynomial.algebra.{u2, u2, u1} S S σ _inst_2 _inst_2 (Algebra.id.{u2} S _inst_2)) (MvPolynomial.algebra.{u2, u2, u1} S S σ _inst_2 _inst_2 (Algebra.id.{u2} S _inst_2))))))) (MvPolynomial.expand.{u1, u2} σ S _inst_2 p) (FunLike.coe.{max (max (succ u3) (succ u2)) (succ u1), max (succ u3) (succ u1), max (succ u2) (succ u1)} (RingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u2} σ S _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, 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(Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (MvPolynomial.commSemiring.{u2, u1} S σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u2} σ S _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (MvPolynomial.commSemiring.{u2, u1} S σ _inst_2))))))) (MvPolynomial.map.{u3, u2, u1} R S σ _inst_1 _inst_2 f) φ))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_expand MvPolynomial.map_expandₓ'. -/
 @[simp]
 theorem map_expand (f : R →+* S) (p : ℕ) (φ : MvPolynomial σ R) :
@@ -137,10 +116,7 @@ theorem map_expand (f : R →+* S) (p : ℕ) (φ : MvPolynomial σ R) :
 #align mv_polynomial.map_expand MvPolynomial.map_expand
 
 /- warning: mv_polynomial.rename_expand -> MvPolynomial.rename_expand is a dubious translation:
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max u3 u2} R (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (Algebra.toModule.{u2, max u3 u2} R (MvPolynomial.{u3, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} τ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) 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_inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} τ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R τ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} τ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R τ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u3 u2, max u1 u2} (AlgHom.{u2, max u2 u3, max u2 u1} R (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.{u1, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.{u1, u2} τ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R τ _inst_1)))))) (Module.toDistribMulAction.{u2, max u3 u2} R (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (Algebra.toModule.{u2, max u3 u2} R (MvPolynomial.{u3, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} τ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R τ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u3 u2, max u1 u2} (AlgHom.{u2, max u2 u3, max u2 u1} R (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.{u1, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.{u1, u2} τ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R τ _inst_1)))) (Module.toDistribMulAction.{u2, max u3 u2} R (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (Algebra.toModule.{u2, max u3 u2} R (MvPolynomial.{u3, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} τ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R τ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u3 u2, max u1 u2, max (max u3 u1) u2} R (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.{u1, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (AlgHom.{u2, max u2 u3, max u2 u1} R (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.{u1, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (AlgHom.algHomClass.{u2, max u3 u2, max u1 u2} R (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.{u1, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (MvPolynomial.rename.{u3, u1, u2} σ τ R _inst_1 f) φ))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.rename_expand MvPolynomial.rename_expandₓ'. -/
 @[simp]
 theorem rename_expand (f : σ → τ) (p : ℕ) (φ : MvPolynomial σ R) :

d64d67d0

bump to nightly-2023-05-24-06

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

fbc7b476

Diff

@@ -46,7 +46,7 @@ noncomputable def expand (p : ℕ) : MvPolynomial σ R →ₐ[R] MvPolynomial σ
 lean 3 declaration is
   forall {σ : Type.{u1}} {R : Type.{u2}} [_inst_1 : CommSemiring.{u2} R] (p : Nat) (r : R), Eq.{max (succ u1) (succ u2)} (MvPolynomial.{u1, u2} σ R _inst_1) (coeFn.{succ (max u1 u2), succ (max u1 u2)} (AlgHom.{u2, max u1 u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (fun (_x : AlgHom.{u2, max u1 u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) => (MvPolynomial.{u1, u2} σ R _inst_1) -> (MvPolynomial.{u1, u2} σ R _inst_1)) ([anonymous].{u2, max u1 u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.expand.{u1, u2} σ R _inst_1 p) (coeFn.{max (succ u2) (succ (max u1 u2)), max (succ u2) (succ (max u1 u2))} (RingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (fun (_x : RingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) => R -> (MvPolynomial.{u1, u2} σ R _inst_1)) (RingHom.hasCoeToFun.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)) (coeFn.{max (succ u2) (succ (max u1 u2)), max (succ u2) (succ (max u1 u2))} (RingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (fun (_x : RingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) => R -> (MvPolynomial.{u1, u2} σ R _inst_1)) (RingHom.hasCoeToFun.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)
 but is expected to have type
-  forall {σ : Type.{u2}} {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (p : Nat) (r : R), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u2, u1} σ R _inst_1) => MvPolynomial.{u2, u1} σ R _inst_1) (FunLike.coe.{max (succ u2) (succ u1), succ u1, max (succ u2) (succ u1)} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u2, u1} σ R _inst_1) a) (MulHomClass.toFunLike.{max u2 u1, u1, max u2 u1} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, max u2 u1} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, max u2 u1} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (MvPolynomial.C.{u1, u2} R σ _inst_1) r)) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (AlgHom.{u1, max u1 u2, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (MvPolynomial.{u2, u1} σ R _inst_1) (fun (_x : MvPolynomial.{u2, u1} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u2, u1} σ R _inst_1) => MvPolynomial.{u2, u1} σ R _inst_1) _x) (SMulHomClass.toFunLike.{max u1 u2, u1, max u1 u2, max u1 u2} (AlgHom.{u1, max u1 u2, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (SMulZeroClass.toSMul.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))))))) (SMulZeroClass.toSMul.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) 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u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, max u2 u1} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (MvPolynomial.C.{u1, u2} R σ _inst_1) r)
+  forall {σ : Type.{u2}} {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (p : Nat) (r : R), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u2, u1} σ R _inst_1) => MvPolynomial.{u2, u1} σ R _inst_1) (FunLike.coe.{max (succ u2) (succ u1), succ u1, max (succ u2) (succ u1)} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u2, u1} σ R _inst_1) a) (MulHomClass.toFunLike.{max u2 u1, u1, max u2 u1} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, max u2 u1} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, max u2 u1} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (MvPolynomial.C.{u1, u2} R σ _inst_1) r)) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (AlgHom.{u1, max u1 u2, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, 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_inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))))))) (SMulZeroClass.toSMul.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) 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 Case conversion may be inaccurate. Consider using '#align mv_polynomial.expand_C MvPolynomial.expand_Cₓ'. -/
 @[simp]
 theorem expand_C (p : ℕ) (r : R) : expand p (C r : MvPolynomial σ R) = C r :=
@@ -57,7 +57,7 @@ theorem expand_C (p : ℕ) (r : R) : expand p (C r : MvPolynomial σ R) = C r :=
 lean 3 declaration is
   forall {σ : Type.{u1}} {R : Type.{u2}} [_inst_1 : CommSemiring.{u2} R] (p : Nat) (i : σ), Eq.{max (succ u1) (succ u2)} (MvPolynomial.{u1, u2} σ R _inst_1) (coeFn.{succ (max u1 u2), succ (max u1 u2)} (AlgHom.{u2, max u1 u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (fun (_x : AlgHom.{u2, max u1 u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) => (MvPolynomial.{u1, u2} σ R _inst_1) -> (MvPolynomial.{u1, u2} σ R _inst_1)) ([anonymous].{u2, max u1 u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.expand.{u1, u2} σ R _inst_1 p) (MvPolynomial.X.{u2, u1} R σ _inst_1 i)) (HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 i) p)
 but is expected to have type
-  forall {σ : Type.{u2}} {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (p : Nat) (i : σ), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u2, u1} σ R _inst_1) => MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.X.{u1, u2} R σ _inst_1 i)) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (AlgHom.{u1, max u1 u2, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (MvPolynomial.{u2, u1} σ R _inst_1) (fun (_x : MvPolynomial.{u2, u1} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u2, u1} σ R _inst_1) => MvPolynomial.{u2, u1} σ R _inst_1) _x) (SMulHomClass.toFunLike.{max u1 u2, u1, max u1 u2, max u1 u2} (AlgHom.{u1, max u1 u2, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (SMulZeroClass.toSMul.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))))))) (SMulZeroClass.toSMul.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u1, max u1 u2, max u1 u2} (AlgHom.{u1, max u1 u2, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))) (Module.toDistribMulAction.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u1 u2, u1, max u1 u2, max u1 u2} (AlgHom.{u1, max u1 u2, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (Module.toDistribMulAction.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))) (Module.toDistribMulAction.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, max u1 u2, max u1 u2, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (AlgHom.{u1, max u1 u2, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (AlgHom.algHomClass.{u1, max u1 u2, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))))))) (MvPolynomial.expand.{u2, u1} σ R _inst_1 p) (MvPolynomial.X.{u1, u2} R σ _inst_1 i)) (HPow.hPow.{max u2 u1, 0, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (MvPolynomial.{u2, u1} σ R _inst_1) (instHPow.{max u2 u1, 0} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (Monoid.Pow.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.X.{u1, u2} R σ _inst_1 i) p)
+  forall {σ : Type.{u2}} {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (p : Nat) (i : σ), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u2, u1} σ R _inst_1) => MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.X.{u1, u2} R σ _inst_1 i)) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (AlgHom.{u1, max u1 u2, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (MvPolynomial.{u2, u1} σ R _inst_1) (fun (_x : MvPolynomial.{u2, u1} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u2, u1} σ R _inst_1) => MvPolynomial.{u2, u1} σ R _inst_1) _x) (SMulHomClass.toFunLike.{max u1 u2, u1, max u1 u2, max u1 u2} (AlgHom.{u1, max u1 u2, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (SMulZeroClass.toSMul.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))))))) (SMulZeroClass.toSMul.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} 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_inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u1, max u1 u2, max u1 u2} (AlgHom.{u1, max u1 u2, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))) (Module.toDistribMulAction.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u1 u2, u1, max u1 u2, max u1 u2} (AlgHom.{u1, max u1 u2, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (Module.toDistribMulAction.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))) (Module.toDistribMulAction.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, max u1 u2, max u1 u2, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (AlgHom.{u1, max u1 u2, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (AlgHom.algHomClass.{u1, max u1 u2, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))))))) (MvPolynomial.expand.{u2, u1} σ R _inst_1 p) (MvPolynomial.X.{u1, u2} R σ _inst_1 i)) (HPow.hPow.{max u2 u1, 0, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (MvPolynomial.{u2, u1} σ R _inst_1) (instHPow.{max u2 u1, 0} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (Monoid.Pow.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.X.{u1, u2} R σ _inst_1 i) p)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.expand_X MvPolynomial.expand_Xₓ'. -/
 @[simp]
 theorem expand_X (p : ℕ) (i : σ) : expand p (X i : MvPolynomial σ R) = X i ^ p :=
@@ -68,7 +68,7 @@ theorem expand_X (p : ℕ) (i : σ) : expand p (X i : MvPolynomial σ R) = X i ^
 lean 3 declaration is
   forall {σ : Type.{u1}} {R : Type.{u2}} [_inst_1 : CommSemiring.{u2} R] (p : Nat) (d : Finsupp.{u1, 0} σ Nat Nat.hasZero) (r : R), Eq.{max (succ u1) (succ u2)} (MvPolynomial.{u1, u2} σ R _inst_1) (coeFn.{succ (max u1 u2), succ (max u1 u2)} (AlgHom.{u2, max u1 u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (fun (_x : AlgHom.{u2, max u1 u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) => (MvPolynomial.{u1, u2} σ R _inst_1) -> (MvPolynomial.{u1, u2} σ R _inst_1)) ([anonymous].{u2, max u1 u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.expand.{u1, u2} σ R _inst_1 p) (coeFn.{max (succ u2) (succ (max u1 u2)), max (succ u2) (succ (max u1 u2))} (LinearMap.{u2, u2, u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (fun (_x : LinearMap.{u2, u2, u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) => R -> (MvPolynomial.{u1, u2} σ R _inst_1)) (LinearMap.hasCoeToFun.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (HMul.hMul.{max u1 u2, max u1 u2, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Distrib.toHasMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (coeFn.{max (succ u2) (succ (max u1 u2)), max (succ u2) (succ (max u1 u2))} (RingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (fun (_x : RingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) => R -> (MvPolynomial.{u1, u2} σ R _inst_1)) (RingHom.hasCoeToFun.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r) (Finset.prod.{max u1 u2, u1} (MvPolynomial.{u1, u2} σ R _inst_1) σ (CommSemiring.toCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (Finsupp.support.{u1, 0} σ Nat Nat.hasZero d) (fun (i : σ) => HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 i) p) (coeFn.{succ u1, succ u1} (Finsupp.{u1, 0} σ Nat Nat.hasZero) (fun (_x : Finsupp.{u1, 0} σ Nat Nat.hasZero) => σ -> Nat) (Finsupp.coeFun.{u1, 0} σ Nat Nat.hasZero) d i))))
 but is expected to have type
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+  forall {σ : Type.{u2}} {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (p : Nat) (d : Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u2, u1} σ R _inst_1) => MvPolynomial.{u2, u1} σ R _inst_1) (FunLike.coe.{max (succ u2) (succ u1), succ u1, max (succ u2) (succ u1)} (LinearMap.{u1, u1, u1, max u1 u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) 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_inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 d) r)) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (AlgHom.{u1, max u1 u2, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 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(FunLike.coe.{succ u2, succ u2, 1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) σ (fun (_x : σ) => (fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) _x) (Finsupp.funLike.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) d i))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.expand_monomial MvPolynomial.expand_monomialₓ'. -/
 @[simp]
 theorem expand_monomial (p : ℕ) (d : σ →₀ ℕ) (r : R) :
@@ -80,7 +80,7 @@ theorem expand_monomial (p : ℕ) (d : σ →₀ ℕ) (r : R) :
 lean 3 declaration is
   forall {σ : Type.{u1}} {R : Type.{u2}} [_inst_1 : CommSemiring.{u2} R] (f : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{max (succ u1) (succ u2)} (MvPolynomial.{u1, u2} σ R _inst_1) (coeFn.{succ (max u1 u2), succ (max u1 u2)} (AlgHom.{u2, max u1 u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (fun (_x : AlgHom.{u2, max u1 u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) => (MvPolynomial.{u1, u2} σ R _inst_1) -> (MvPolynomial.{u1, u2} σ R _inst_1)) ([anonymous].{u2, max u1 u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.expand.{u1, u2} σ R _inst_1 (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))) f) f
 but is expected to have type
-  forall {σ : Type.{u2}} {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (f : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u2, u1} σ R _inst_1) => MvPolynomial.{u2, u1} σ R _inst_1) f) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (AlgHom.{u1, max u1 u2, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (MvPolynomial.{u2, u1} σ R _inst_1) (fun (_x : MvPolynomial.{u2, u1} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u2, u1} σ R _inst_1) => MvPolynomial.{u2, u1} σ R _inst_1) _x) (SMulHomClass.toFunLike.{max u1 u2, u1, max u1 u2, max u1 u2} (AlgHom.{u1, max u1 u2, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (SMulZeroClass.toSMul.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))))))) (SMulZeroClass.toSMul.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u1, max u1 u2, max u1 u2} (AlgHom.{u1, max u1 u2, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))) (Module.toDistribMulAction.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u1 u2, u1, max u1 u2, max u1 u2} (AlgHom.{u1, max u1 u2, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (Module.toDistribMulAction.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))) (Module.toDistribMulAction.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, max u1 u2, max u1 u2, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (AlgHom.{u1, max u1 u2, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (AlgHom.algHomClass.{u1, max u1 u2, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))))))) (MvPolynomial.expand.{u2, u1} σ R _inst_1 (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) f) f
+  forall {σ : Type.{u2}} {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (f : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u2, u1} σ R _inst_1) => MvPolynomial.{u2, u1} σ R _inst_1) f) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (AlgHom.{u1, max u1 u2, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (MvPolynomial.{u2, u1} σ R _inst_1) (fun (_x : MvPolynomial.{u2, u1} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u2, u1} σ R _inst_1) => MvPolynomial.{u2, u1} σ R _inst_1) _x) (SMulHomClass.toFunLike.{max u1 u2, u1, max u1 u2, max u1 u2} (AlgHom.{u1, max u1 u2, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (SMulZeroClass.toSMul.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u2, 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R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} 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σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u1 u2, u1, max u1 u2, max u1 u2} (AlgHom.{u1, max u1 u2, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (Module.toDistribMulAction.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))) (Module.toDistribMulAction.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, max u1 u2, max u1 u2, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (AlgHom.{u1, max u1 u2, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (AlgHom.algHomClass.{u1, max u1 u2, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))))))) (MvPolynomial.expand.{u2, u1} σ R _inst_1 (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) f) f
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.expand_one_apply MvPolynomial.expand_one_applyₓ'. -/
 theorem expand_one_apply (f : MvPolynomial σ R) : expand 1 f = f := by
   simp only [expand, bind₁_X_left, AlgHom.id_apply, RingHom.toFun_eq_coe, eval₂_hom_C_left,
@@ -104,7 +104,7 @@ theorem expand_one : expand 1 = AlgHom.id R (MvPolynomial σ R) :=
 lean 3 declaration is
   forall {σ : Type.{u1}} {τ : Type.{u2}} {R : Type.{u3}} [_inst_1 : CommSemiring.{u3} R] (p : Nat) (f : σ -> (MvPolynomial.{u2, u3} τ R _inst_1)), Eq.{max (succ (max u1 u3)) (succ (max u2 u3))} (AlgHom.{u3, max u1 u3, max u2 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u2, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) (AlgHom.comp.{u3, max u1 u3, max u2 u3, max u2 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.{u2, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.expand.{u2, u3} τ R _inst_1 p) (MvPolynomial.bind₁.{u1, u2, u3} σ τ R _inst_1 f)) (MvPolynomial.bind₁.{u1, u2, u3} σ τ R _inst_1 (fun (i : σ) => coeFn.{succ (max u2 u3), succ (max u2 u3)} (AlgHom.{u3, max u2 u3, max u2 u3} R (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.{u2, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) (fun (_x : AlgHom.{u3, max u2 u3, max u2 u3} R (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.{u2, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) => (MvPolynomial.{u2, u3} τ R _inst_1) -> (MvPolynomial.{u2, u3} τ R _inst_1)) ([anonymous].{u3, max u2 u3, max u2 u3} R (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.{u2, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) (MvPolynomial.expand.{u2, u3} τ R _inst_1 p) (f i)))
 but is expected to have type
-  forall {σ : Type.{u1}} {τ : Type.{u3}} {R : Type.{u2}} [_inst_1 : CommSemiring.{u2} R] (p : Nat) (f : σ -> (MvPolynomial.{u3, u2} τ R _inst_1)), Eq.{max (max (succ u1) (succ u3)) (succ u2)} (AlgHom.{u2, max u2 u1, max u3 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (AlgHom.comp.{u2, max u2 u1, max u3 u2, max u3 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.expand.{u3, u2} τ R _inst_1 p) (MvPolynomial.bind₁.{u1, u3, u2} σ τ R _inst_1 f)) (MvPolynomial.bind₁.{u1, u3, u2} σ τ R _inst_1 (fun (i : σ) => FunLike.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3), max (succ u2) (succ u3)} (AlgHom.{u2, max u2 u3, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.{u3, u2} τ R _inst_1) (fun (_x : MvPolynomial.{u3, u2} τ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u3, u2} τ R _inst_1) => MvPolynomial.{u3, u2} τ R _inst_1) _x) (SMulHomClass.toFunLike.{max u2 u3, u2, max u2 u3, max u2 u3} (AlgHom.{u2, max u2 u3, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) (SMulZeroClass.toSMul.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (AddMonoid.toZero.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)))))) (Module.toDistribMulAction.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1))))) (Algebra.toModule.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (AddMonoid.toZero.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)))))) (Module.toDistribMulAction.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1))))) (Algebra.toModule.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u3, u2, max u2 u3, max u2 u3} (AlgHom.{u2, max u2 u3, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)))))) (AddCommMonoid.toAddMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)))))) (Module.toDistribMulAction.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1))))) (Algebra.toModule.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1))))) (Algebra.toModule.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u3, u2, max u2 u3, max u2 u3} (AlgHom.{u2, max u2 u3, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)))) (Module.toDistribMulAction.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1))))) (Algebra.toModule.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1))))) (Algebra.toModule.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u2 u3, max u2 u3, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (AlgHom.{u2, max u2 u3, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (AlgHom.algHomClass.{u2, max u2 u3, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (MvPolynomial.expand.{u3, u2} τ R _inst_1 p) (f i)))
+  forall {σ : Type.{u1}} {τ : Type.{u3}} {R : Type.{u2}} [_inst_1 : CommSemiring.{u2} R] (p : Nat) (f : σ -> (MvPolynomial.{u3, u2} τ R _inst_1)), Eq.{max (max (succ u1) (succ u3)) (succ u2)} (AlgHom.{u2, max u2 u1, max u3 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (AlgHom.comp.{u2, max u2 u1, max u3 u2, max u3 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.expand.{u3, u2} τ R _inst_1 p) (MvPolynomial.bind₁.{u1, u3, u2} σ τ R _inst_1 f)) (MvPolynomial.bind₁.{u1, u3, u2} σ τ R _inst_1 (fun (i : σ) => FunLike.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3), max (succ u2) (succ u3)} (AlgHom.{u2, max u2 u3, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.{u3, u2} τ R _inst_1) (fun (_x : MvPolynomial.{u3, u2} τ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u3, u2} τ R _inst_1) => MvPolynomial.{u3, u2} τ R _inst_1) _x) (SMulHomClass.toFunLike.{max u2 u3, u2, max u2 u3, max u2 u3} (AlgHom.{u2, max u2 u3, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) 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(MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)))))) (AddCommMonoid.toAddMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) 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(CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1))))) (Algebra.toModule.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u3, u2, max u2 u3, max u2 u3} (AlgHom.{u2, max u2 u3, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)))) (Module.toDistribMulAction.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1))))) (Algebra.toModule.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1))))) (Algebra.toModule.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u2 u3, max u2 u3, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (AlgHom.{u2, max u2 u3, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (AlgHom.algHomClass.{u2, max u2 u3, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (MvPolynomial.expand.{u3, u2} τ R _inst_1 p) (f i)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.expand_comp_bind₁ MvPolynomial.expand_comp_bind₁ₓ'. -/
 theorem expand_comp_bind₁ (p : ℕ) (f : σ → MvPolynomial τ R) :
     (expand p).comp (bind₁ f) = bind₁ fun i => expand p (f i) :=
@@ -118,7 +118,7 @@ theorem expand_comp_bind₁ (p : ℕ) (f : σ → MvPolynomial τ R) :
 lean 3 declaration is
   forall {σ : Type.{u1}} {τ : Type.{u2}} {R : Type.{u3}} [_inst_1 : CommSemiring.{u3} R] (p : Nat) (f : σ -> (MvPolynomial.{u2, u3} τ R _inst_1)) (φ : MvPolynomial.{u1, u3} σ R _inst_1), Eq.{max (succ u2) (succ u3)} (MvPolynomial.{u2, u3} τ R _inst_1) (coeFn.{succ (max u2 u3), succ (max u2 u3)} (AlgHom.{u3, max u2 u3, max u2 u3} R (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.{u2, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) (fun (_x : AlgHom.{u3, max u2 u3, max u2 u3} R (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.{u2, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) => (MvPolynomial.{u2, u3} τ R _inst_1) -> (MvPolynomial.{u2, u3} τ R _inst_1)) ([anonymous].{u3, max u2 u3, max u2 u3} R (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.{u2, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) (MvPolynomial.expand.{u2, u3} τ R _inst_1 p) (coeFn.{max (succ (max u1 u3)) (succ (max u2 u3)), max (succ (max u1 u3)) (succ (max u2 u3))} (AlgHom.{u3, max u1 u3, max u2 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u2, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) (fun (_x : AlgHom.{u3, max u1 u3, max u2 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u2, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) => (MvPolynomial.{u1, u3} σ R _inst_1) -> (MvPolynomial.{u2, u3} τ R _inst_1)) ([anonymous].{u3, max u1 u3, max u2 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u2, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) (MvPolynomial.bind₁.{u1, u2, u3} σ τ R _inst_1 f) φ)) (coeFn.{max (succ (max u1 u3)) (succ (max u2 u3)), max (succ (max u1 u3)) (succ (max u2 u3))} (AlgHom.{u3, max u1 u3, max u2 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u2, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) (fun (_x : AlgHom.{u3, max u1 u3, max u2 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u2, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) => (MvPolynomial.{u1, u3} σ R _inst_1) -> (MvPolynomial.{u2, u3} τ R _inst_1)) ([anonymous].{u3, max u1 u3, max u2 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u2, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) (MvPolynomial.bind₁.{u1, u2, u3} σ τ R _inst_1 (fun (i : σ) => coeFn.{succ (max u2 u3), succ (max u2 u3)} (AlgHom.{u3, max u2 u3, max u2 u3} R (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.{u2, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) (fun (_x : AlgHom.{u3, max u2 u3, max u2 u3} R (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.{u2, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) => (MvPolynomial.{u2, u3} τ R _inst_1) -> (MvPolynomial.{u2, u3} τ R _inst_1)) ([anonymous].{u3, max u2 u3, max u2 u3} R (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.{u2, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) (MvPolynomial.expand.{u2, u3} τ R _inst_1 p) (f i))) φ)
 but is expected to have type
-  forall {σ : Type.{u1}} {τ : Type.{u3}} {R : Type.{u2}} [_inst_1 : CommSemiring.{u2} R] (p : Nat) (f : σ -> (MvPolynomial.{u3, u2} τ R _inst_1)) (φ : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{max (succ u3) (succ u2)} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u3, u2} τ R _inst_1) => MvPolynomial.{u3, u2} τ R _inst_1) (FunLike.coe.{max (max (succ u1) (succ u3)) (succ u2), max (succ u1) (succ u2), max (succ u3) (succ u2)} (AlgHom.{u2, max u2 u1, max u2 u3} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (a : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u3, u2} τ R _inst_1) a) (SMulHomClass.toFunLike.{max (max u1 u3) u2, u2, max u1 u2, max u3 u2} (AlgHom.{u2, max u2 u1, max u2 u3} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, max u3 u2} R (MvPolynomial.{u3, u2} τ R _inst_1) (AddMonoid.toZero.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (AddCommMonoid.toAddMonoid.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u3 u2} R (MvPolynomial.{u3, u2} τ R _inst_1) (AddMonoid.toAddZeroClass.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (AddCommMonoid.toAddMonoid.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u3 u2} R (MvPolynomial.{u3, u2} τ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R 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_inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, max u3 u2} R (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} 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u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)))))) (Module.toDistribMulAction.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1))))) (Algebra.toModule.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (AddMonoid.toZero.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)))))) (Module.toDistribMulAction.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1))))) (Algebra.toModule.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u3, u2, max u2 u3, max u2 u3} (AlgHom.{u2, max u2 u3, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)))))) (AddCommMonoid.toAddMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)))))) (Module.toDistribMulAction.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1))))) (Algebra.toModule.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1))))) (Algebra.toModule.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u3, u2, max u2 u3, max u2 u3} (AlgHom.{u2, max u2 u3, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)))) (Module.toDistribMulAction.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1))))) (Algebra.toModule.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1))))) (Algebra.toModule.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u2 u3, max u2 u3, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (AlgHom.{u2, max u2 u3, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (AlgHom.algHomClass.{u2, max u2 u3, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (MvPolynomial.expand.{u3, u2} τ R _inst_1 p) (f i))) φ)
+  forall {σ : Type.{u1}} {τ : Type.{u3}} {R : Type.{u2}} [_inst_1 : CommSemiring.{u2} R] (p : Nat) (f : σ -> (MvPolynomial.{u3, u2} τ R _inst_1)) (φ : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{max (succ u3) (succ u2)} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u3, u2} τ R _inst_1) => MvPolynomial.{u3, u2} τ R _inst_1) (FunLike.coe.{max (max (succ u1) (succ u3)) (succ u2), max (succ u1) (succ u2), max (succ u3) (succ u2)} (AlgHom.{u2, max u2 u1, max u2 u3} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (a : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u3, u2} τ R _inst_1) a) (SMulHomClass.toFunLike.{max (max u1 u3) u2, u2, max u1 u2, max u3 u2} (AlgHom.{u2, max u2 u1, max u2 u3} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 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(Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u3 u2} R (MvPolynomial.{u3, u2} τ R _inst_1) (AddMonoid.toAddZeroClass.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (AddCommMonoid.toAddMonoid.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u3 u2} R (MvPolynomial.{u3, u2} τ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)))))) (Module.toDistribMulAction.{u2, max u3 u2} R (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1))))) (Algebra.toModule.{u2, max u3 u2} R (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u1 u3) u2, u2, max u1 u2, max u3 u2} (AlgHom.{u2, max u2 u1, max u2 u3} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, max u3 u2} R (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1))))) (Algebra.toModule.{u2, max u3 u2} R (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u1 u3) u2, u2, max u1 u2, max u3 u2} (AlgHom.{u2, max u2 u1, max u2 u3} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, max u3 u2} R (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{u2} 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(MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)))))) (AddCommMonoid.toAddMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)))))) (Module.toDistribMulAction.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1))))) (Algebra.toModule.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1))))) (Algebra.toModule.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u3, u2, max u2 u3, max u2 u3} (AlgHom.{u2, max u2 u3, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)))) (Module.toDistribMulAction.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1))))) (Algebra.toModule.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1))))) (Algebra.toModule.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u2 u3, max u2 u3, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (AlgHom.{u2, max u2 u3, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (AlgHom.algHomClass.{u2, max u2 u3, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (MvPolynomial.expand.{u3, u2} τ R _inst_1 p) (f i))) φ)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.expand_bind₁ MvPolynomial.expand_bind₁ₓ'. -/
 theorem expand_bind₁ (p : ℕ) (f : σ → MvPolynomial τ R) (φ : MvPolynomial σ R) :
     expand p (bind₁ f φ) = bind₁ (fun i => expand p (f i)) φ := by
@@ -129,7 +129,7 @@ theorem expand_bind₁ (p : ℕ) (f : σ → MvPolynomial τ R) (φ : MvPolynomi
 lean 3 declaration is
   forall {σ : Type.{u1}} {R : Type.{u2}} {S : Type.{u3}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S] (f : RingHom.{u2, u3} R S (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_2))) (p : Nat) (φ : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{max (succ u1) (succ u3)} (MvPolynomial.{u1, u3} σ S _inst_2) (coeFn.{max (succ (max u1 u2)) (succ (max u1 u3)), max (succ (max u1 u2)) (succ (max u1 u3))} (RingHom.{max u1 u2, max u1 u3} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S _inst_2) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S _inst_2) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S _inst_2) (MvPolynomial.commSemiring.{u3, u1} S σ _inst_2)))) (fun (_x : RingHom.{max u1 u2, max u1 u3} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S _inst_2) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S _inst_2) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S _inst_2) (MvPolynomial.commSemiring.{u3, u1} S σ _inst_2)))) => (MvPolynomial.{u1, u2} σ R _inst_1) -> (MvPolynomial.{u1, u3} σ S _inst_2)) (RingHom.hasCoeToFun.{max u1 u2, max u1 u3} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S _inst_2) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S _inst_2) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S _inst_2) (MvPolynomial.commSemiring.{u3, u1} S σ _inst_2)))) (MvPolynomial.map.{u2, u3, u1} R S σ _inst_1 _inst_2 f) (coeFn.{succ (max u1 u2), succ (max u1 u2)} (AlgHom.{u2, max u1 u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (fun (_x : AlgHom.{u2, max u1 u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) => (MvPolynomial.{u1, u2} σ R _inst_1) -> (MvPolynomial.{u1, u2} σ R _inst_1)) ([anonymous].{u2, max u1 u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.expand.{u1, u2} σ R _inst_1 p) φ)) (coeFn.{succ (max u1 u3), succ (max u1 u3)} (AlgHom.{u3, max u1 u3, max u1 u3} S (MvPolynomial.{u1, u3} σ S _inst_2) (MvPolynomial.{u1, u3} σ S _inst_2) _inst_2 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S _inst_2) (MvPolynomial.commSemiring.{u3, u1} S σ _inst_2)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S _inst_2) (MvPolynomial.commSemiring.{u3, u1} S σ _inst_2)) (MvPolynomial.algebra.{u3, u3, u1} S S σ _inst_2 _inst_2 (Algebra.id.{u3} S _inst_2)) (MvPolynomial.algebra.{u3, u3, u1} S S σ _inst_2 _inst_2 (Algebra.id.{u3} S _inst_2))) (fun (_x : AlgHom.{u3, max u1 u3, max u1 u3} S (MvPolynomial.{u1, u3} σ S _inst_2) (MvPolynomial.{u1, u3} σ S _inst_2) _inst_2 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S _inst_2) (MvPolynomial.commSemiring.{u3, u1} S σ _inst_2)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S _inst_2) (MvPolynomial.commSemiring.{u3, u1} S σ _inst_2)) (MvPolynomial.algebra.{u3, u3, u1} S S σ _inst_2 _inst_2 (Algebra.id.{u3} S _inst_2)) (MvPolynomial.algebra.{u3, u3, u1} S S σ _inst_2 _inst_2 (Algebra.id.{u3} S _inst_2))) => (MvPolynomial.{u1, u3} σ S _inst_2) -> (MvPolynomial.{u1, u3} σ S _inst_2)) ([anonymous].{u3, max u1 u3, max u1 u3} S (MvPolynomial.{u1, u3} σ S _inst_2) (MvPolynomial.{u1, u3} σ S _inst_2) _inst_2 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S _inst_2) (MvPolynomial.commSemiring.{u3, u1} S σ _inst_2)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S _inst_2) (MvPolynomial.commSemiring.{u3, u1} S σ _inst_2)) (MvPolynomial.algebra.{u3, u3, u1} S S σ _inst_2 _inst_2 (Algebra.id.{u3} S _inst_2)) (MvPolynomial.algebra.{u3, u3, u1} S S σ _inst_2 _inst_2 (Algebra.id.{u3} S _inst_2))) (MvPolynomial.expand.{u1, u3} σ S _inst_2 p) (coeFn.{max (succ (max u1 u2)) (succ (max u1 u3)), max (succ (max u1 u2)) (succ (max u1 u3))} (RingHom.{max u1 u2, max u1 u3} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S _inst_2) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S _inst_2) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S _inst_2) (MvPolynomial.commSemiring.{u3, u1} S σ _inst_2)))) (fun (_x : RingHom.{max u1 u2, max u1 u3} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S _inst_2) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S _inst_2) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S _inst_2) (MvPolynomial.commSemiring.{u3, u1} S σ _inst_2)))) => (MvPolynomial.{u1, u2} σ R _inst_1) -> (MvPolynomial.{u1, u3} σ S _inst_2)) (RingHom.hasCoeToFun.{max u1 u2, max u1 u3} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S _inst_2) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S _inst_2) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S _inst_2) (MvPolynomial.commSemiring.{u3, u1} S σ _inst_2)))) (MvPolynomial.map.{u2, u3, u1} R S σ _inst_1 _inst_2 f) φ))
 but is expected to have type
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_inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (a : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u3} σ R _inst_1) => MvPolynomial.{u1, u3} σ R _inst_1) a) (SMulHomClass.toFunLike.{max u3 u1, u3, max u3 u1, max u3 u1} (AlgHom.{u3, max u3 u1, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) 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_inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u3 u1, u3, max u3 u1, max u3 u1} (AlgHom.{u3, max u3 u1, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u3} σ R _inst_1) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (Module.toDistribMulAction.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ 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(CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (MvPolynomial.commSemiring.{u2, u1} S σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u3 u2) u1, max u3 u1, max u2 u1} (RingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u2} σ S _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (MvPolynomial.commSemiring.{u2, u1} S σ _inst_2)))) (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u2} σ S _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (MvPolynomial.commSemiring.{u2, u1} S σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u2} σ S _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (MvPolynomial.commSemiring.{u2, u1} S σ _inst_2))))))) (MvPolynomial.map.{u3, u2, u1} R S σ _inst_1 _inst_2 f) φ))
+  forall {σ : Type.{u1}} {R : Type.{u3}} {S : Type.{u2}} [_inst_1 : CommSemiring.{u3} R] [_inst_2 : CommSemiring.{u2} S] (f : RingHom.{u3, u2} R S (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))) (p : Nat) (φ : MvPolynomial.{u1, u3} σ R _inst_1), Eq.{max (succ u1) (succ u2)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ R _inst_1) => MvPolynomial.{u1, u2} σ S _inst_2) (FunLike.coe.{max (succ u3) (succ u1), max (succ u3) (succ u1), max (succ u3) (succ u1)} (AlgHom.{u3, max u3 u1, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (a : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u3} σ R _inst_1) => MvPolynomial.{u1, u3} σ R _inst_1) a) (SMulHomClass.toFunLike.{max u3 u1, u3, max u3 u1, max u3 u1} (AlgHom.{u3, max u3 u1, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) 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_inst_1))))))) (DistribMulAction.toDistribSMul.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) 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(Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u3} σ R _inst_1) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} 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_inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u3 u1, u3, max u3 u1, max u3 u1} (AlgHom.{u3, max u3 u1, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u3} σ R _inst_1) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) 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(MvPolynomial.{u1, u2} σ S _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (MvPolynomial.commSemiring.{u2, u1} S σ _inst_2)))) (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u2} σ S _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (MvPolynomial.commSemiring.{u2, u1} S σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u3 u2) u1, max u3 u1, max u2 u1} (RingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u2} σ S _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (MvPolynomial.commSemiring.{u2, u1} S σ _inst_2)))) (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u2} σ S _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (MvPolynomial.commSemiring.{u2, u1} S σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u2} σ S _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (MvPolynomial.commSemiring.{u2, u1} S σ _inst_2))))))) (MvPolynomial.map.{u3, u2, u1} R S σ _inst_1 _inst_2 f) φ))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_expand MvPolynomial.map_expandₓ'. -/
 @[simp]
 theorem map_expand (f : R →+* S) (p : ℕ) (φ : MvPolynomial σ R) :
@@ -140,7 +140,7 @@ theorem map_expand (f : R →+* S) (p : ℕ) (φ : MvPolynomial σ R) :
 lean 3 declaration is
   forall {σ : Type.{u1}} {τ : Type.{u2}} {R : Type.{u3}} [_inst_1 : CommSemiring.{u3} R] (f : σ -> τ) (p : Nat) (φ : MvPolynomial.{u1, u3} σ R _inst_1), Eq.{max (succ u2) (succ u3)} (MvPolynomial.{u2, u3} τ R _inst_1) (coeFn.{max (succ (max u1 u3)) (succ (max u2 u3)), max (succ (max u1 u3)) (succ (max u2 u3))} (AlgHom.{u3, max u1 u3, max u2 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u2, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) (fun (_x : AlgHom.{u3, max u1 u3, max u2 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u2, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) => (MvPolynomial.{u1, u3} σ R _inst_1) -> (MvPolynomial.{u2, u3} τ R _inst_1)) ([anonymous].{u3, max u1 u3, max u2 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u2, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) (MvPolynomial.rename.{u1, u2, u3} σ τ R _inst_1 f) (coeFn.{succ (max u1 u3), succ (max u1 u3)} (AlgHom.{u3, max u1 u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) (fun (_x : AlgHom.{u3, max u1 u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) => (MvPolynomial.{u1, u3} σ R _inst_1) -> (MvPolynomial.{u1, u3} σ R _inst_1)) ([anonymous].{u3, max u1 u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) (MvPolynomial.expand.{u1, u3} σ R _inst_1 p) φ)) (coeFn.{succ (max u2 u3), succ (max u2 u3)} (AlgHom.{u3, max u2 u3, max u2 u3} R (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.{u2, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) (fun (_x : AlgHom.{u3, max u2 u3, max u2 u3} R (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.{u2, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) => (MvPolynomial.{u2, u3} τ R _inst_1) -> (MvPolynomial.{u2, u3} τ R _inst_1)) ([anonymous].{u3, max u2 u3, max u2 u3} R (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.{u2, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) (MvPolynomial.expand.{u2, u3} τ R _inst_1 p) (coeFn.{max (succ (max u1 u3)) (succ (max u2 u3)), max (succ (max u1 u3)) (succ (max u2 u3))} (AlgHom.{u3, max u1 u3, max u2 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u2, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) (fun (_x : AlgHom.{u3, max u1 u3, max u2 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u2, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) => (MvPolynomial.{u1, u3} σ R _inst_1) -> (MvPolynomial.{u2, u3} τ R _inst_1)) ([anonymous].{u3, max u1 u3, max u2 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u2, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) (MvPolynomial.rename.{u1, u2, u3} σ τ R _inst_1 f) φ))
 but is expected to have type
-  forall {σ : Type.{u3}} {τ : Type.{u1}} {R : Type.{u2}} [_inst_1 : CommSemiring.{u2} R] (f : σ -> τ) (p : Nat) (φ : MvPolynomial.{u3, u2} σ R _inst_1), Eq.{max (succ u1) (succ u2)} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u3, u2} σ R _inst_1) => MvPolynomial.{u1, u2} τ R _inst_1) (FunLike.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3), max (succ u2) (succ u3)} (AlgHom.{u2, max u2 u3, max u2 u3} R (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.{u3, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.{u3, u2} σ R _inst_1) (fun (a : MvPolynomial.{u3, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u3, u2} σ R _inst_1) => MvPolynomial.{u3, u2} σ R _inst_1) a) (SMulHomClass.toFunLike.{max u2 u3, u2, max u2 u3, max u2 u3} (AlgHom.{u2, max u2 u3, max u2 u3} R (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.{u3, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.{u3, u2} σ R _inst_1) (SMulZeroClass.toSMul.{u2, max u2 u3} R (MvPolynomial.{u3, u2} σ R _inst_1) (AddMonoid.toZero.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u2 u3} R (MvPolynomial.{u3, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) 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(NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R τ _inst_1)))) (Module.toDistribMulAction.{u2, max u3 u2} R (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (Algebra.toModule.{u2, max u3 u2} R (MvPolynomial.{u3, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} τ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R τ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u3 u2, max u1 u2, max (max u3 u1) u2} R (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.{u1, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (AlgHom.{u2, max u2 u3, max u2 u1} R (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.{u1, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (AlgHom.algHomClass.{u2, max u3 u2, max u1 u2} R (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.{u1, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (MvPolynomial.rename.{u3, u1, u2} σ τ R _inst_1 f) φ))
+  forall {σ : Type.{u3}} {τ : Type.{u1}} {R : Type.{u2}} [_inst_1 : CommSemiring.{u2} R] (f : σ -> τ) (p : Nat) (φ : MvPolynomial.{u3, u2} σ R _inst_1), Eq.{max (succ u1) (succ u2)} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u3, u2} σ R _inst_1) => MvPolynomial.{u1, u2} τ R _inst_1) (FunLike.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3), max (succ u2) (succ u3)} (AlgHom.{u2, max u2 u3, max u2 u3} R (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.{u3, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.{u3, u2} σ R _inst_1) (fun (a : MvPolynomial.{u3, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u3, u2} σ R _inst_1) => MvPolynomial.{u3, u2} σ R _inst_1) a) (SMulHomClass.toFunLike.{max u2 u3, u2, max u2 u3, max u2 u3} (AlgHom.{u2, max u2 u3, max u2 u3} R (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.{u3, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.{u3, u2} σ R _inst_1) (SMulZeroClass.toSMul.{u2, max u2 u3} R (MvPolynomial.{u3, u2} σ R _inst_1) (AddMonoid.toZero.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u2 u3} R (MvPolynomial.{u3, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u2 u3} R (MvPolynomial.{u3, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u2 u3} R (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u3} R (MvPolynomial.{u3, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, max u2 u3} R (MvPolynomial.{u3, u2} σ R _inst_1) (AddMonoid.toZero.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u2 u3} R (MvPolynomial.{u3, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u2 u3} R (MvPolynomial.{u3, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u2 u3} R (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u3} R (MvPolynomial.{u3, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u3, u2, max u2 u3, max u2 u3} (AlgHom.{u2, max u2 u3, max u2 u3} R (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.{u3, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.{u3, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u2 u3} R (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u3} R (MvPolynomial.{u3, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, max u2 u3} R (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} 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_inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} τ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R τ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} τ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R τ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u3 u2, max u1 u2} (AlgHom.{u2, max u2 u3, max u2 u1} R (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.{u1, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.{u1, u2} τ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R τ _inst_1)))))) (Module.toDistribMulAction.{u2, max u3 u2} R (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (Algebra.toModule.{u2, max u3 u2} R (MvPolynomial.{u3, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} τ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R τ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u3 u2, max u1 u2} (AlgHom.{u2, max u2 u3, max u2 u1} R (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.{u1, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.{u1, u2} τ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R τ _inst_1)))) (Module.toDistribMulAction.{u2, max u3 u2} R (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (Algebra.toModule.{u2, max u3 u2} R (MvPolynomial.{u3, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} τ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R τ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u3 u2, max u1 u2, max (max u3 u1) u2} R (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.{u1, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (AlgHom.{u2, max u2 u3, max u2 u1} R (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.{u1, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (AlgHom.algHomClass.{u2, max u3 u2, max u1 u2} R (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.{u1, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (MvPolynomial.rename.{u3, u1, u2} σ τ R _inst_1 f) φ))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.rename_expand MvPolynomial.rename_expandₓ'. -/
 @[simp]
 theorem rename_expand (f : σ → τ) (p : ℕ) (φ : MvPolynomial σ R) :

d64d67d0

bump to nightly-2023-05-19-16

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

a31df521

Diff

@@ -46,7 +46,7 @@ noncomputable def expand (p : ℕ) : MvPolynomial σ R →ₐ[R] MvPolynomial σ
 lean 3 declaration is
   forall {σ : Type.{u1}} {R : Type.{u2}} [_inst_1 : CommSemiring.{u2} R] (p : Nat) (r : R), Eq.{max (succ u1) (succ u2)} (MvPolynomial.{u1, u2} σ R _inst_1) (coeFn.{succ (max u1 u2), succ (max u1 u2)} (AlgHom.{u2, max u1 u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (fun (_x : AlgHom.{u2, max u1 u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) => (MvPolynomial.{u1, u2} σ R _inst_1) -> (MvPolynomial.{u1, u2} σ R _inst_1)) ([anonymous].{u2, max u1 u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.expand.{u1, u2} σ R _inst_1 p) (coeFn.{max (succ u2) (succ (max u1 u2)), max (succ u2) (succ (max u1 u2))} (RingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (fun (_x : RingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) => R -> (MvPolynomial.{u1, u2} σ R _inst_1)) (RingHom.hasCoeToFun.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)) (coeFn.{max (succ u2) (succ (max u1 u2)), max (succ u2) (succ (max u1 u2))} (RingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (fun (_x : RingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) => R -> (MvPolynomial.{u1, u2} σ R _inst_1)) (RingHom.hasCoeToFun.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)
 but is expected to have type
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u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, max u2 u1} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (MvPolynomial.C.{u1, u2} R σ _inst_1) r)
+  forall {σ : Type.{u2}} {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (p : Nat) (r : R), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u2, u1} σ R _inst_1) => MvPolynomial.{u2, u1} σ R _inst_1) (FunLike.coe.{max (succ u2) (succ u1), succ u1, max (succ u2) (succ u1)} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u2, u1} σ R _inst_1) a) (MulHomClass.toFunLike.{max u2 u1, u1, max u2 u1} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, max u2 u1} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, max u2 u1} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (MvPolynomial.C.{u1, u2} R σ _inst_1) r)) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (AlgHom.{u1, max u1 u2, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, 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_inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))))))) (SMulZeroClass.toSMul.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) 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 Case conversion may be inaccurate. Consider using '#align mv_polynomial.expand_C MvPolynomial.expand_Cₓ'. -/
 @[simp]
 theorem expand_C (p : ℕ) (r : R) : expand p (C r : MvPolynomial σ R) = C r :=
@@ -68,7 +68,7 @@ theorem expand_X (p : ℕ) (i : σ) : expand p (X i : MvPolynomial σ R) = X i ^
 lean 3 declaration is
   forall {σ : Type.{u1}} {R : Type.{u2}} [_inst_1 : CommSemiring.{u2} R] (p : Nat) (d : Finsupp.{u1, 0} σ Nat Nat.hasZero) (r : R), Eq.{max (succ u1) (succ u2)} (MvPolynomial.{u1, u2} σ R _inst_1) (coeFn.{succ (max u1 u2), succ (max u1 u2)} (AlgHom.{u2, max u1 u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (fun (_x : AlgHom.{u2, max u1 u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) => (MvPolynomial.{u1, u2} σ R _inst_1) -> (MvPolynomial.{u1, u2} σ R _inst_1)) ([anonymous].{u2, max u1 u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.expand.{u1, u2} σ R _inst_1 p) (coeFn.{max (succ u2) (succ (max u1 u2)), max (succ u2) (succ (max u1 u2))} (LinearMap.{u2, u2, u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (fun (_x : LinearMap.{u2, u2, u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) => R -> (MvPolynomial.{u1, u2} σ R _inst_1)) (LinearMap.hasCoeToFun.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (HMul.hMul.{max u1 u2, max u1 u2, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Distrib.toHasMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (coeFn.{max (succ u2) (succ (max u1 u2)), max (succ u2) (succ (max u1 u2))} (RingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (fun (_x : RingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) => R -> (MvPolynomial.{u1, u2} σ R _inst_1)) (RingHom.hasCoeToFun.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r) (Finset.prod.{max u1 u2, u1} (MvPolynomial.{u1, u2} σ R _inst_1) σ (CommSemiring.toCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (Finsupp.support.{u1, 0} σ Nat Nat.hasZero d) (fun (i : σ) => HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 i) p) (coeFn.{succ u1, succ u1} (Finsupp.{u1, 0} σ Nat Nat.hasZero) (fun (_x : Finsupp.{u1, 0} σ Nat Nat.hasZero) => σ -> Nat) (Finsupp.coeFun.{u1, 0} σ Nat Nat.hasZero) d i))))
 but is expected to have type
-  forall {σ : Type.{u2}} {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (p : Nat) (d : Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u2, u1} σ R _inst_1) => MvPolynomial.{u2, u1} σ R _inst_1) (FunLike.coe.{max (succ u2) (succ u1), succ u1, max (succ u2) (succ u1)} (LinearMap.{u1, u1, u1, max u1 u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u2, u1} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 d) r)) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (AlgHom.{u1, max u1 u2, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (MvPolynomial.{u2, u1} σ R _inst_1) (fun (_x : MvPolynomial.{u2, u1} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u2, u1} σ R _inst_1) => MvPolynomial.{u2, u1} σ R _inst_1) _x) (SMulHomClass.toFunLike.{max u1 u2, u1, max u1 u2, max u1 u2} (AlgHom.{u1, max u1 u2, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (SMulZeroClass.toSMul.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) 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(MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 d) r)) (HMul.hMul.{max u1 u2, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u2, u1} σ R _inst_1) r) (MvPolynomial.{u2, u1} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u2, u1} σ R _inst_1) => MvPolynomial.{u2, u1} σ R _inst_1) (FunLike.coe.{max (succ u2) (succ u1), succ u1, max (succ u2) (succ u1)} (LinearMap.{u1, u1, u1, max u1 u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u2, u1} σ R _inst_1) a) 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(NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, max u2 u1} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (MvPolynomial.C.{u1, u2} R σ _inst_1) r) (Finset.prod.{max u2 u1, u2} (MvPolynomial.{u2, u1} σ R _inst_1) σ (CommSemiring.toCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (Finsupp.support.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) d) (fun (i : σ) => HPow.hPow.{max u2 u1, 0, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) i) (MvPolynomial.{u2, u1} σ R _inst_1) (instHPow.{max u2 u1, 0} (MvPolynomial.{u2, u1} σ R _inst_1) ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) i) (Monoid.Pow.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (HPow.hPow.{max u2 u1, 0, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (MvPolynomial.{u2, u1} σ R _inst_1) (instHPow.{max u2 u1, 0} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (Monoid.Pow.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.X.{u1, u2} R σ _inst_1 i) p) (FunLike.coe.{succ u2, succ u2, 1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) σ (fun (_x : σ) => (fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) _x) (Finsupp.funLike.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) d i))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.expand_monomial MvPolynomial.expand_monomialₓ'. -/
 @[simp]
 theorem expand_monomial (p : ℕ) (d : σ →₀ ℕ) (r : R) :
@@ -129,7 +129,7 @@ theorem expand_bind₁ (p : ℕ) (f : σ → MvPolynomial τ R) (φ : MvPolynomi
 lean 3 declaration is
   forall {σ : Type.{u1}} {R : Type.{u2}} {S : Type.{u3}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S] (f : RingHom.{u2, u3} R S (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_2))) (p : Nat) (φ : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{max (succ u1) (succ u3)} (MvPolynomial.{u1, u3} σ S _inst_2) (coeFn.{max (succ (max u1 u2)) (succ (max u1 u3)), max (succ (max u1 u2)) (succ (max u1 u3))} (RingHom.{max u1 u2, max u1 u3} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S _inst_2) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S _inst_2) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S _inst_2) (MvPolynomial.commSemiring.{u3, u1} S σ _inst_2)))) (fun (_x : RingHom.{max u1 u2, max u1 u3} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S _inst_2) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S _inst_2) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S _inst_2) (MvPolynomial.commSemiring.{u3, u1} S σ _inst_2)))) => (MvPolynomial.{u1, u2} σ R _inst_1) -> (MvPolynomial.{u1, u3} σ S _inst_2)) (RingHom.hasCoeToFun.{max u1 u2, max u1 u3} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S _inst_2) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S _inst_2) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S _inst_2) (MvPolynomial.commSemiring.{u3, u1} S σ _inst_2)))) (MvPolynomial.map.{u2, u3, u1} R S σ _inst_1 _inst_2 f) (coeFn.{succ (max u1 u2), succ (max u1 u2)} (AlgHom.{u2, max u1 u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (fun (_x : AlgHom.{u2, max u1 u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) => (MvPolynomial.{u1, u2} σ R _inst_1) -> (MvPolynomial.{u1, u2} σ R _inst_1)) ([anonymous].{u2, max u1 u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.expand.{u1, 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(MvPolynomial.{u1, u3} σ S _inst_2)) (RingHom.hasCoeToFun.{max u1 u2, max u1 u3} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S _inst_2) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S _inst_2) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S _inst_2) (MvPolynomial.commSemiring.{u3, u1} S σ _inst_2)))) (MvPolynomial.map.{u2, u3, u1} R S σ _inst_1 _inst_2 f) φ))
 but is expected to have type
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(CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (MvPolynomial.commSemiring.{u2, u1} S σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u3 u2) u1, max u3 u1, max u2 u1} (RingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u2} σ S _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (MvPolynomial.commSemiring.{u2, u1} S σ _inst_2)))) (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u2} σ S _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (MvPolynomial.commSemiring.{u2, u1} S σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u2} σ S _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (MvPolynomial.commSemiring.{u2, u1} S σ _inst_2))))))) (MvPolynomial.map.{u3, u2, u1} R S σ _inst_1 _inst_2 f) φ))
+  forall {σ : Type.{u1}} {R : Type.{u3}} {S : Type.{u2}} [_inst_1 : CommSemiring.{u3} R] [_inst_2 : CommSemiring.{u2} S] (f : RingHom.{u3, u2} R S (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))) (p : Nat) (φ : MvPolynomial.{u1, u3} σ R _inst_1), Eq.{max (succ u1) (succ u2)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ R _inst_1) => MvPolynomial.{u1, u2} σ S _inst_2) (FunLike.coe.{max (succ u3) (succ u1), max (succ u3) (succ u1), max (succ u3) (succ u1)} (AlgHom.{u3, max u3 u1, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ 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_inst_2))) (AlgHom.algHomClass.{u2, max u2 u1, max u2 u1} S (MvPolynomial.{u1, u2} σ S _inst_2) (MvPolynomial.{u1, u2} σ S _inst_2) _inst_2 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ S _inst_2) (MvPolynomial.commSemiring.{u2, u1} S σ _inst_2)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ S _inst_2) (MvPolynomial.commSemiring.{u2, u1} S σ _inst_2)) (MvPolynomial.algebra.{u2, u2, u1} S S σ _inst_2 _inst_2 (Algebra.id.{u2} S _inst_2)) (MvPolynomial.algebra.{u2, u2, u1} S S σ _inst_2 _inst_2 (Algebra.id.{u2} S _inst_2))))))) (MvPolynomial.expand.{u1, u2} σ S _inst_2 p) (FunLike.coe.{max (max (succ u3) (succ u2)) (succ u1), max (succ u3) (succ u1), max (succ u2) (succ u1)} (RingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u2} σ S _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (MvPolynomial.commSemiring.{u2, u1} S σ _inst_2)))) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ R _inst_1) => MvPolynomial.{u1, u2} σ S _inst_2) _x) (MulHomClass.toFunLike.{max (max u3 u2) u1, max u3 u1, max u2 u1} (RingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u2} σ S _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (MvPolynomial.commSemiring.{u2, u1} S σ _inst_2)))) (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u2} σ S _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (MvPolynomial.commSemiring.{u2, u1} S σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u3 u2) u1, max u3 u1, max u2 u1} (RingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u2} σ S _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (MvPolynomial.commSemiring.{u2, u1} S σ _inst_2)))) (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u2} σ S _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (MvPolynomial.commSemiring.{u2, u1} S σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u3 u2) u1, max u3 u1, max u2 u1} (RingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u2} σ S _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (MvPolynomial.commSemiring.{u2, u1} S σ _inst_2)))) (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u2} σ S _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (MvPolynomial.commSemiring.{u2, u1} S σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u2} σ S _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ S _inst_2) (MvPolynomial.commSemiring.{u2, u1} S σ _inst_2))))))) (MvPolynomial.map.{u3, u2, u1} R S σ _inst_1 _inst_2 f) φ))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_expand MvPolynomial.map_expandₓ'. -/
 @[simp]
 theorem map_expand (f : R →+* S) (p : ℕ) (φ : MvPolynomial σ R) :

d64d67d0

bump to nightly-2023-05-18-03

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

b46e9d53

Diff

@@ -68,7 +68,7 @@ theorem expand_X (p : ℕ) (i : σ) : expand p (X i : MvPolynomial σ R) = X i ^
 lean 3 declaration is
   forall {σ : Type.{u1}} {R : Type.{u2}} [_inst_1 : CommSemiring.{u2} R] (p : Nat) (d : Finsupp.{u1, 0} σ Nat Nat.hasZero) (r : R), Eq.{max (succ u1) (succ u2)} (MvPolynomial.{u1, u2} σ R _inst_1) (coeFn.{succ (max u1 u2), succ (max u1 u2)} (AlgHom.{u2, max u1 u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (fun (_x : AlgHom.{u2, max u1 u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) => (MvPolynomial.{u1, u2} σ R _inst_1) -> (MvPolynomial.{u1, u2} σ R _inst_1)) ([anonymous].{u2, max u1 u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.expand.{u1, u2} σ R 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(MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (fun (_x : LinearMap.{u2, u2, u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) => R -> (MvPolynomial.{u1, u2} σ R _inst_1)) (LinearMap.hasCoeToFun.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (HMul.hMul.{max u1 u2, max u1 u2, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Distrib.toHasMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (coeFn.{max (succ u2) (succ (max u1 u2)), max (succ u2) (succ (max u1 u2))} (RingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (fun (_x : RingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) => R -> (MvPolynomial.{u1, u2} σ R _inst_1)) (RingHom.hasCoeToFun.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r) (Finset.prod.{max u1 u2, u1} (MvPolynomial.{u1, u2} σ R _inst_1) σ (CommSemiring.toCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (Finsupp.support.{u1, 0} σ Nat Nat.hasZero d) (fun (i : σ) => HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) 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 but is expected to have type
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(MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (MvPolynomial.C.{u1, u2} R σ _inst_1) r) (Finset.prod.{max u2 u1, u2} (MvPolynomial.{u2, u1} σ R _inst_1) σ (CommSemiring.toCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (Finsupp.support.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) d) (fun (i : σ) => HPow.hPow.{max u2 u1, 0, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) i) (MvPolynomial.{u2, u1} σ R _inst_1) (instHPow.{max u2 u1, 0} (MvPolynomial.{u2, u1} σ R _inst_1) ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) i) (Monoid.Pow.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (HPow.hPow.{max u2 u1, 0, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (MvPolynomial.{u2, u1} σ R _inst_1) (instHPow.{max u2 u1, 0} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (Monoid.Pow.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.X.{u1, u2} R σ _inst_1 i) p) (FunLike.coe.{succ u2, succ u2, 1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) σ (fun (_x : σ) => (fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) _x) (Finsupp.funLike.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) d i))))
+  forall {σ : Type.{u2}} {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (p : Nat) (d : Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u2, u1} σ R _inst_1) => MvPolynomial.{u2, u1} σ R _inst_1) (FunLike.coe.{max (succ u2) (succ u1), succ u1, max (succ u2) (succ u1)} (LinearMap.{u1, u1, u1, max u1 u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) 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_inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 d) r)) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (AlgHom.{u1, max u1 u2, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 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(NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, max u2 u1} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (MvPolynomial.C.{u1, u2} R σ _inst_1) r) (Finset.prod.{max u2 u1, u2} (MvPolynomial.{u2, u1} σ R _inst_1) σ (CommSemiring.toCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (Finsupp.support.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) d) (fun (i : σ) => HPow.hPow.{max u2 u1, 0, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) i) (MvPolynomial.{u2, u1} σ R _inst_1) (instHPow.{max u2 u1, 0} (MvPolynomial.{u2, u1} σ R _inst_1) ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) i) (Monoid.Pow.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (HPow.hPow.{max u2 u1, 0, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (MvPolynomial.{u2, u1} σ R _inst_1) (instHPow.{max u2 u1, 0} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (Monoid.Pow.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.X.{u1, u2} R σ _inst_1 i) p) (FunLike.coe.{succ u2, succ u2, 1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) σ (fun (_x : σ) => (fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) _x) (Finsupp.funLike.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) d i))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.expand_monomial MvPolynomial.expand_monomialₓ'. -/
 @[simp]
 theorem expand_monomial (p : ℕ) (d : σ →₀ ℕ) (r : R) :

d64d67d0

bump to nightly-2023-04-06-02

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

89485060

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johan Commelin, Robert Y. Lewis
 
 ! This file was ported from Lean 3 source module data.mv_polynomial.expand
-! leanprover-community/mathlib commit 5da451b4c96b4c2e122c0325a7fce17d62ee46c6
+! leanprover-community/mathlib commit d64d67d000b974f0d86a2be7918cf800be6271c8
 ! 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.Monad
 /-!
 ## Expand multivariate polynomials
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 Given a multivariate polynomial `φ`, one may replace every occurence of `X i` by `X i ^ n`,
 for some natural number `n`.
 This operation is called `mv_polynomial.expand` and it is an algebra homomorphism.

5da451b4

bump to nightly-2023-04-04-14

mathlib commit https://github.com/leanprover-community/mathlib/commit/3cacc945118c8c637d89950af01da78307f59325

468d7cfa

Diff

@@ -29,6 +29,7 @@ namespace MvPolynomial
 
 variable {σ τ R S : Type _} [CommSemiring R] [CommSemiring S]
 
+#print MvPolynomial.expand /-
 /-- Expand the polynomial by a factor of p, so `∑ aₙ xⁿ` becomes `∑ aₙ xⁿᵖ`.
 
 See also `polynomial.expand`. -/
@@ -36,28 +37,59 @@ noncomputable def expand (p : ℕ) : MvPolynomial σ R →ₐ[R] MvPolynomial σ
   { (eval₂Hom C fun i => X i ^ p : MvPolynomial σ R →+* MvPolynomial σ R) with
     commutes' := fun r => eval₂Hom_C _ _ _ }
 #align mv_polynomial.expand MvPolynomial.expand
+-/
 
+/- warning: mv_polynomial.expand_C -> MvPolynomial.expand_C is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align mv_polynomial.expand_C MvPolynomial.expand_Cₓ'. -/
 @[simp]
-theorem expand_c (p : ℕ) (r : R) : expand p (C r : MvPolynomial σ R) = C r :=
+theorem expand_C (p : ℕ) (r : R) : expand p (C r : MvPolynomial σ R) = C r :=
   eval₂Hom_C _ _ _
-#align mv_polynomial.expand_C MvPolynomial.expand_c
-
+#align mv_polynomial.expand_C MvPolynomial.expand_C
+
+/- warning: mv_polynomial.expand_X -> MvPolynomial.expand_X is a dubious translation:
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(MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))))))) (SMulZeroClass.toSMul.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u1, max u1 u2, max u1 u2} (AlgHom.{u1, max u1 u2, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))) (Module.toDistribMulAction.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u1 u2, u1, max u1 u2, max u1 u2} (AlgHom.{u1, max u1 u2, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) 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σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, max u1 u2, max u1 u2, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (AlgHom.{u1, max u1 u2, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (AlgHom.algHomClass.{u1, max u1 u2, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))))))) (MvPolynomial.expand.{u2, u1} σ R _inst_1 p) (MvPolynomial.X.{u1, u2} R σ _inst_1 i)) (HPow.hPow.{max u2 u1, 0, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (MvPolynomial.{u2, u1} σ R _inst_1) (instHPow.{max u2 u1, 0} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (Monoid.Pow.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.X.{u1, u2} R σ _inst_1 i) p)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.expand_X MvPolynomial.expand_Xₓ'. -/
 @[simp]
-theorem expand_x (p : ℕ) (i : σ) : expand p (X i : MvPolynomial σ R) = X i ^ p :=
+theorem expand_X (p : ℕ) (i : σ) : expand p (X i : MvPolynomial σ R) = X i ^ p :=
   eval₂Hom_X' _ _ _
-#align mv_polynomial.expand_X MvPolynomial.expand_x
-
+#align mv_polynomial.expand_X MvPolynomial.expand_X
+
+/- warning: mv_polynomial.expand_monomial -> MvPolynomial.expand_monomial is a dubious translation:
+lean 3 declaration is
+  forall {σ : Type.{u1}} {R : Type.{u2}} [_inst_1 : CommSemiring.{u2} R] (p : Nat) (d : Finsupp.{u1, 0} σ Nat Nat.hasZero) (r : R), Eq.{max (succ u1) (succ u2)} (MvPolynomial.{u1, u2} σ R _inst_1) (coeFn.{succ (max u1 u2), succ (max u1 u2)} (AlgHom.{u2, max u1 u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (fun (_x : AlgHom.{u2, max u1 u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) => (MvPolynomial.{u1, u2} σ R _inst_1) -> (MvPolynomial.{u1, u2} σ R _inst_1)) ([anonymous].{u2, max u1 u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.expand.{u1, u2} σ R _inst_1 p) (coeFn.{max (succ u2) (succ (max u1 u2)), max (succ u2) (succ (max u1 u2))} (LinearMap.{u2, u2, u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (fun (_x : LinearMap.{u2, u2, u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) => R -> (MvPolynomial.{u1, u2} σ R _inst_1)) (LinearMap.hasCoeToFun.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (HMul.hMul.{max u1 u2, max u1 u2, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Distrib.toHasMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (coeFn.{max (succ u2) (succ (max u1 u2)), max (succ u2) (succ (max u1 u2))} (RingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (fun (_x : RingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) => R -> (MvPolynomial.{u1, u2} σ R _inst_1)) (RingHom.hasCoeToFun.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r) (Finset.prod.{max u1 u2, u1} (MvPolynomial.{u1, u2} σ R _inst_1) σ (CommSemiring.toCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (Finsupp.support.{u1, 0} σ Nat Nat.hasZero d) (fun (i : σ) => HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) 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+but is expected to have type
+  forall {σ : Type.{u2}} {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (p : Nat) (d : Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u2, u1} σ R _inst_1) => MvPolynomial.{u2, u1} σ R _inst_1) (FunLike.coe.{max (succ u2) (succ u1), succ u1, max (succ u2) (succ u1)} (LinearMap.{u1, u1, u1, max u1 u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) 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+Case conversion may be inaccurate. Consider using '#align mv_polynomial.expand_monomial MvPolynomial.expand_monomialₓ'. -/
 @[simp]
 theorem expand_monomial (p : ℕ) (d : σ →₀ ℕ) (r : R) :
     expand p (monomial d r) = C r * ∏ i in d.support, (X i ^ p) ^ d i :=
   bind₁_monomial _ _ _
 #align mv_polynomial.expand_monomial MvPolynomial.expand_monomial
 
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_inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))))))) (MvPolynomial.expand.{u2, u1} σ R _inst_1 (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) f) f
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.expand_one_apply MvPolynomial.expand_one_applyₓ'. -/
 theorem expand_one_apply (f : MvPolynomial σ R) : expand 1 f = f := by
   simp only [expand, bind₁_X_left, AlgHom.id_apply, RingHom.toFun_eq_coe, eval₂_hom_C_left,
     AlgHom.coe_toRingHom, pow_one, AlgHom.coe_mks]
 #align mv_polynomial.expand_one_apply MvPolynomial.expand_one_apply
 
+/- warning: mv_polynomial.expand_one -> MvPolynomial.expand_one is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align mv_polynomial.expand_one MvPolynomial.expand_oneₓ'. -/
 @[simp]
 theorem expand_one : expand 1 = AlgHom.id R (MvPolynomial σ R) :=
   by
@@ -65,6 +97,12 @@ theorem expand_one : expand 1 = AlgHom.id R (MvPolynomial σ R) :=
   rw [expand_one_apply, AlgHom.id_apply]
 #align mv_polynomial.expand_one MvPolynomial.expand_one
 
+/- warning: mv_polynomial.expand_comp_bind₁ -> MvPolynomial.expand_comp_bind₁ is a dubious translation:
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(Algebra.id.{u2} R _inst_1)))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u2 u3, max u2 u3, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (AlgHom.{u2, max u2 u3, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) 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+Case conversion may be inaccurate. Consider using '#align mv_polynomial.expand_comp_bind₁ MvPolynomial.expand_comp_bind₁ₓ'. -/
 theorem expand_comp_bind₁ (p : ℕ) (f : σ → MvPolynomial τ R) :
     (expand p).comp (bind₁ f) = bind₁ fun i => expand p (f i) :=
   by
@@ -73,21 +111,45 @@ theorem expand_comp_bind₁ (p : ℕ) (f : σ → MvPolynomial τ R) :
   simp only [AlgHom.comp_apply, bind₁_X_right]
 #align mv_polynomial.expand_comp_bind₁ MvPolynomial.expand_comp_bind₁
 
+/- warning: mv_polynomial.expand_bind₁ -> MvPolynomial.expand_bind₁ is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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_inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1))))) (Algebra.toModule.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u3, u2, max u2 u3, max u2 u3} (AlgHom.{u2, 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_inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)))) (Module.toDistribMulAction.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1))))) (Algebra.toModule.{u2, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) 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(AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u2 u3, max u2 u3, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (AlgHom.{u2, max u2 u3, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (AlgHom.algHomClass.{u2, max u2 u3, max u2 u3} R (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.{u3, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (MvPolynomial.expand.{u3, u2} τ R _inst_1 p) (f i))) φ)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.expand_bind₁ MvPolynomial.expand_bind₁ₓ'. -/
 theorem expand_bind₁ (p : ℕ) (f : σ → MvPolynomial τ R) (φ : MvPolynomial σ R) :
     expand p (bind₁ f φ) = bind₁ (fun i => expand p (f i)) φ := by
   rw [← AlgHom.comp_apply, expand_comp_bind₁]
 #align mv_polynomial.expand_bind₁ MvPolynomial.expand_bind₁
 
+/- warning: mv_polynomial.map_expand -> MvPolynomial.map_expand is a dubious translation:
+lean 3 declaration is
+  forall {σ : Type.{u1}} {R : Type.{u2}} {S : Type.{u3}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S] (f : RingHom.{u2, u3} R S (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_2))) (p : Nat) (φ : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{max (succ u1) (succ u3)} (MvPolynomial.{u1, u3} σ S _inst_2) (coeFn.{max (succ (max u1 u2)) (succ (max u1 u3)), max (succ (max u1 u2)) (succ (max u1 u3))} (RingHom.{max u1 u2, max u1 u3} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S _inst_2) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S _inst_2) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S _inst_2) 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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_expand MvPolynomial.map_expandₓ'. -/
 @[simp]
 theorem map_expand (f : R →+* S) (p : ℕ) (φ : MvPolynomial σ R) :
     map f (expand p φ) = expand p (map f φ) := by simp [expand, map_bind₁]
 #align mv_polynomial.map_expand MvPolynomial.map_expand
 
+/- warning: mv_polynomial.rename_expand -> MvPolynomial.rename_expand is a dubious translation:
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+but is expected to have type
+  forall {σ : Type.{u3}} {τ : Type.{u1}} {R : Type.{u2}} [_inst_1 : CommSemiring.{u2} R] (f : σ -> τ) (p : Nat) (φ : MvPolynomial.{u3, u2} σ R _inst_1), Eq.{max (succ u1) (succ u2)} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u3, u2} σ R _inst_1) => MvPolynomial.{u1, u2} τ R _inst_1) (FunLike.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3), max (succ u2) (succ u3)} (AlgHom.{u2, max u2 u3, max u2 u3} R (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.{u3, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.{u3, u2} σ R _inst_1) (fun (a : MvPolynomial.{u3, 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_inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} τ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R τ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u3 u2, max u1 u2} (AlgHom.{u2, max u2 u3, max u2 u1} R (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.{u1, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.{u1, u2} τ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R τ _inst_1)))) (Module.toDistribMulAction.{u2, max u3 u2} R (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (Algebra.toModule.{u2, max u3 u2} R (MvPolynomial.{u3, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} τ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R τ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u3 u2, max u1 u2, max (max u3 u1) u2} R (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.{u1, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (AlgHom.{u2, max u2 u3, max u2 u1} R (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.{u1, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (AlgHom.algHomClass.{u2, max u3 u2, max u1 u2} R (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.{u1, u2} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} τ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R τ _inst_1)) (MvPolynomial.algebra.{u2, u2, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (MvPolynomial.rename.{u3, u1, u2} σ τ R _inst_1 f) φ))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.rename_expand MvPolynomial.rename_expandₓ'. -/
 @[simp]
 theorem rename_expand (f : σ → τ) (p : ℕ) (φ : MvPolynomial σ R) :
     rename f (expand p φ) = expand p (rename f φ) := by simp [expand, bind₁_rename, rename_bind₁]
 #align mv_polynomial.rename_expand MvPolynomial.rename_expand
 
+/- warning: mv_polynomial.rename_comp_expand -> MvPolynomial.rename_comp_expand is a dubious translation:
+lean 3 declaration is
+  forall {σ : Type.{u1}} {τ : Type.{u2}} {R : Type.{u3}} [_inst_1 : CommSemiring.{u3} R] (f : σ -> τ) (p : Nat), Eq.{max (succ (max u1 u3)) (succ (max u2 u3))} (AlgHom.{u3, max u1 u3, max u2 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u2, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) (AlgHom.comp.{u3, max u1 u3, max u1 u3, max u2 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u2, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.rename.{u1, u2, u3} σ τ R _inst_1 f) (MvPolynomial.expand.{u1, u3} σ R _inst_1 p)) (AlgHom.comp.{u3, max u1 u3, max u2 u3, max u2 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.{u2, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.expand.{u2, u3} τ R _inst_1 p) (MvPolynomial.rename.{u1, u2, u3} σ τ R _inst_1 f))
+but is expected to have type
+  forall {σ : Type.{u3}} {τ : Type.{u2}} {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (f : σ -> τ) (p : Nat), Eq.{max (max (succ u3) (succ u2)) (succ u1)} (AlgHom.{u1, max u1 u3, max u2 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u2, u1} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} τ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R τ _inst_1)) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (AlgHom.comp.{u1, max u1 u3, max u3 u1, max u2 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u2, u1} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} τ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R τ _inst_1)) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.rename.{u3, u2, u1} σ τ R _inst_1 f) (MvPolynomial.expand.{u3, u1} σ R _inst_1 p)) (AlgHom.comp.{u1, max u3 u1, max u2 u1, max u2 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u2, u1} τ R _inst_1) (MvPolynomial.{u2, u1} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} τ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R τ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} τ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R τ _inst_1)) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.expand.{u2, u1} τ R _inst_1 p) (MvPolynomial.rename.{u3, u2, u1} σ τ R _inst_1 f))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.rename_comp_expand MvPolynomial.rename_comp_expandₓ'. -/
 @[simp]
 theorem rename_comp_expand (f : σ → τ) (p : ℕ) :
     (rename f).comp (expand p) =

5da451b4

bump to nightly-2023-03-15-10

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

f73428b0

Diff

@@ -33,23 +33,23 @@ variable {σ τ R S : Type _} [CommSemiring R] [CommSemiring S]
 
 See also `polynomial.expand`. -/
 noncomputable def expand (p : ℕ) : MvPolynomial σ R →ₐ[R] MvPolynomial σ R :=
-  { (eval₂Hom c fun i => x i ^ p : MvPolynomial σ R →+* MvPolynomial σ R) with
-    commutes' := fun r => eval₂Hom_c _ _ _ }
+  { (eval₂Hom C fun i => X i ^ p : MvPolynomial σ R →+* MvPolynomial σ R) with
+    commutes' := fun r => eval₂Hom_C _ _ _ }
 #align mv_polynomial.expand MvPolynomial.expand
 
 @[simp]
-theorem expand_c (p : ℕ) (r : R) : expand p (c r : MvPolynomial σ R) = c r :=
-  eval₂Hom_c _ _ _
+theorem expand_c (p : ℕ) (r : R) : expand p (C r : MvPolynomial σ R) = C r :=
+  eval₂Hom_C _ _ _
 #align mv_polynomial.expand_C MvPolynomial.expand_c
 
 @[simp]
-theorem expand_x (p : ℕ) (i : σ) : expand p (x i : MvPolynomial σ R) = x i ^ p :=
+theorem expand_x (p : ℕ) (i : σ) : expand p (X i : MvPolynomial σ R) = X i ^ p :=
   eval₂Hom_X' _ _ _
 #align mv_polynomial.expand_X MvPolynomial.expand_x
 
 @[simp]
 theorem expand_monomial (p : ℕ) (d : σ →₀ ℕ) (r : R) :
-    expand p (monomial d r) = c r * ∏ i in d.support, (x i ^ p) ^ d i :=
+    expand p (monomial d r) = C r * ∏ i in d.support, (X i ^ p) ^ d i :=
   bind₁_monomial _ _ _
 #align mv_polynomial.expand_monomial MvPolynomial.expand_monomial

5da451b4

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

5da451b4

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, Robert Y. Lewis
 -/
-import Mathlib.Data.MvPolynomial.Monad
+import Mathlib.Algebra.MvPolynomial.Monad
 
 #align_import data.mv_polynomial.expand from "leanprover-community/mathlib"@"5da451b4c96b4c2e122c0325a7fce17d62ee46c6"

5da451b4

chore: classify simp can do this porting notes (#10619)

Classify by adding issue number (#10618) to porting notes claiming anything semantically equivalent to simp can prove this or simp can simplify this.

de765f60

Diff

@@ -34,7 +34,7 @@ noncomputable def expand (p : ℕ) : MvPolynomial σ R →ₐ[R] MvPolynomial σ
     commutes' := fun _ ↦ eval₂Hom_C _ _ _ }
 #align mv_polynomial.expand MvPolynomial.expand
 
--- @[simp] -- Porting note: simp can prove this
+-- @[simp] -- Porting note (#10618): simp can prove this
 theorem expand_C (p : ℕ) (r : R) : expand p (C r : MvPolynomial σ R) = C r :=
   eval₂Hom_C _ _ _
 set_option linter.uppercaseLean3 false in

5da451b4

chore: move to v4.6.0-rc1, merging adaptations from bump/v4.6.0 (#10176)

Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Joachim Breitner <mail@joachim-breitner.de>

490d2d48

Diff

@@ -54,7 +54,7 @@ theorem expand_monomial (p : ℕ) (d : σ →₀ ℕ) (r : R) :
 
 theorem expand_one_apply (f : MvPolynomial σ R) : expand 1 f = f := by
   simp only [expand, pow_one, eval₂Hom_eq_bind₂, bind₂_C_left, RingHom.toMonoidHom_eq_coe,
-    RingHom.coe_monoidHom_id, AlgHom.coe_mk, RingHom.coe_mk, MonoidHom.id_apply]
+    RingHom.coe_monoidHom_id, AlgHom.coe_mk, RingHom.coe_mk, MonoidHom.id_apply, RingHom.id_apply]
 #align mv_polynomial.expand_one_apply MvPolynomial.expand_one_apply
 
 @[simp]

5da451b4

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

@@ -24,7 +24,7 @@ open BigOperators
 
 namespace MvPolynomial
 
-variable {σ τ R S : Type _} [CommSemiring R] [CommSemiring S]
+variable {σ τ R S : Type*} [CommSemiring R] [CommSemiring S]
 
 /-- Expand the polynomial by a factor of p, so `∑ aₙ xⁿ` becomes `∑ aₙ xⁿᵖ`.

5da451b4

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, Robert Y. Lewis
-
-! This file was ported from Lean 3 source module data.mv_polynomial.expand
-! leanprover-community/mathlib commit 5da451b4c96b4c2e122c0325a7fce17d62ee46c6
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Data.MvPolynomial.Monad
 
+#align_import data.mv_polynomial.expand from "leanprover-community/mathlib"@"5da451b4c96b4c2e122c0325a7fce17d62ee46c6"
+
 /-!
 ## Expand multivariate polynomials

5da451b4

chore: fix typos (#4518)

I ran codespell Mathlib and got tired halfway through the suggestions.

92beef58

Diff

@@ -13,7 +13,7 @@ import Mathlib.Data.MvPolynomial.Monad
 /-!
 ## Expand multivariate polynomials
 
-Given a multivariate polynomial `φ`, one may replace every occurence of `X i` by `X i ^ n`,
+Given a multivariate polynomial `φ`, one may replace every occurrence of `X i` by `X i ^ n`,
 for some natural number `n`.
 This operation is called `MvPolynomial.expand` and it is an algebra homomorphism.

5da451b4

feat: port Data.MvPolynomial.Expand (#3261)

4b272b5d

`data.mv_polynomial.expand` ⟷ `Mathlib.Data.MvPolynomial.Expand`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 8 + 467

data.mv_polynomial.expand ⟷ Mathlib.Data.MvPolynomial.Expand

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 8 + 467

`data.mv_polynomial.expand` ⟷ `Mathlib.Data.MvPolynomial.Expand`