ring_theory.mv_polynomial.weighted_homogeneous ⟷ Mathlib.RingTheory.MvPolynomial.WeightedHomogeneous

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

@@ -63,12 +63,12 @@ variable [AddCommMonoid M]
 /-! ### `weighted_degree'` -/
 
 
-#print MvPolynomial.weightedDegree' /-
+#print MvPolynomial.weightedDegree /-
 /-- The `weighted degree'` of the finitely supported function `s : σ →₀ ℕ` is the sum
   `∑(s i)•(w i)`. -/
-def weightedDegree' (w : σ → M) : (σ →₀ ℕ) →+ M :=
+def weightedDegree (w : σ → M) : (σ →₀ ℕ) →+ M :=
   (Finsupp.total σ M ℕ w).toAddMonoidHom
-#align mv_polynomial.weighted_degree' MvPolynomial.weightedDegree'
+#align mv_polynomial.weighted_degree' MvPolynomial.weightedDegree
 -/
 
 section SemilatticeSup
@@ -78,7 +78,7 @@ variable [SemilatticeSup M]
 #print MvPolynomial.weightedTotalDegree' /-
 /-- The weighted total degree of a multivariate polynomial, taking values in `with_bot M`. -/
 def weightedTotalDegree' (w : σ → M) (p : MvPolynomial σ R) : WithBot M :=
-  p.support.sup fun s => weightedDegree' w s
+  p.support.sup fun s => weightedDegree w s
 #align mv_polynomial.weighted_total_degree' MvPolynomial.weightedTotalDegree'
 -/
 
@@ -108,7 +108,7 @@ variable [OrderBot M]
 /-- When `M` has a `⊥` element, we can define the weighted total degree of a multivariate
   polynomial as a function taking values in `M`. -/
 def weightedTotalDegree (w : σ → M) (p : MvPolynomial σ R) : M :=
-  p.support.sup fun s => weightedDegree' w s
+  p.support.sup fun s => weightedDegree w s
 #align mv_polynomial.weighted_total_degree MvPolynomial.weightedTotalDegree
 -/
 
@@ -139,7 +139,7 @@ theorem weightedTotalDegree_zero (w : σ → M) : weightedTotalDegree w (0 : MvP
 
 #print MvPolynomial.le_weightedTotalDegree /-
 theorem le_weightedTotalDegree (w : σ → M) {φ : MvPolynomial σ R} {d : σ →₀ ℕ}
-    (hd : d ∈ φ.support) : weightedDegree' w d ≤ φ.weightedTotalDegree w :=
+    (hd : d ∈ φ.support) : weightedDegree w d ≤ φ.weightedTotalDegree w :=
   le_sup hd
 #align mv_polynomial.le_weighted_total_degree MvPolynomial.le_weightedTotalDegree
 -/
@@ -152,7 +152,7 @@ end SemilatticeSup
 /-- A multivariate polynomial `φ` is weighted homogeneous of weighted degree `m` if all monomials
   occuring in `φ` have weighted degree `m`. -/
 def IsWeightedHomogeneous (w : σ → M) (φ : MvPolynomial σ R) (m : M) : Prop :=
-  ∀ ⦃d⦄, coeff d φ ≠ 0 → weightedDegree' w d = m
+  ∀ ⦃d⦄, coeff d φ ≠ 0 → weightedDegree w d = m
 #align mv_polynomial.is_weighted_homogeneous MvPolynomial.IsWeightedHomogeneous
 -/
 
@@ -191,7 +191,7 @@ variable (R)
   `p.support ⊆ {d | weighted_degree' w d = m}`. While equal, the former has a
   convenient definitional reduction. -/
 theorem weightedHomogeneousSubmodule_eq_finsupp_supported (w : σ → M) (m : M) :
-    weightedHomogeneousSubmodule R w m = Finsupp.supported _ R {d | weightedDegree' w d = m} :=
+    weightedHomogeneousSubmodule R w m = Finsupp.supported _ R {d | weightedDegree w d = m} :=
   by
   ext
   simp only [mem_supported, Set.subset_def, Finsupp.mem_support_iff, mem_coe]
@@ -224,7 +224,7 @@ theorem weightedHomogeneousSubmodule_mul (w : σ → M) (m n : M) :
 #print MvPolynomial.isWeightedHomogeneous_monomial /-
 /-- Monomials are weighted homogeneous. -/
 theorem isWeightedHomogeneous_monomial (w : σ → M) (d : σ →₀ ℕ) (r : R) {m : M}
-    (hm : weightedDegree' w d = m) : IsWeightedHomogeneous w (monomial d r) m := by
+    (hm : weightedDegree w d = m) : IsWeightedHomogeneous w (monomial d r) m := by
   classical
   intro c hc
   rw [coeff_monomial] at hc
@@ -289,7 +289,7 @@ variable {R} {φ ψ : MvPolynomial σ R} {m n : M}
 #print MvPolynomial.IsWeightedHomogeneous.coeff_eq_zero /-
 /-- The weighted degree of a weighted homogeneous polynomial controls its support. -/
 theorem coeff_eq_zero {w : σ → M} (hφ : IsWeightedHomogeneous w φ n) (d : σ →₀ ℕ)
-    (hd : weightedDegree' w d ≠ n) : coeff d φ = 0 := by have aux := mt (@hφ d) hd;
+    (hd : weightedDegree w d ≠ n) : coeff d φ = 0 := by have aux := mt (@hφ d) hd;
   rwa [Classical.not_not] at aux
 #align mv_polynomial.is_weighted_homogeneous.coeff_eq_zero MvPolynomial.IsWeightedHomogeneous.coeff_eq_zero
 -/
@@ -386,7 +386,7 @@ variable {R}
   See `sum_weighted_homogeneous_component` for the statement that `φ` is equal to the sum
   of all its weighted homogeneous components. -/
 def weightedHomogeneousComponent (w : σ → M) (n : M) : MvPolynomial σ R →ₗ[R] MvPolynomial σ R :=
-  (Submodule.subtype _).comp <| Finsupp.restrictDom _ _ {d | weightedDegree' w d = n}
+  (Submodule.subtype _).comp <| Finsupp.restrictDom _ _ {d | weightedDegree w d = n}
 #align mv_polynomial.weighted_homogeneous_component MvPolynomial.weightedHomogeneousComponent
 -/
 
@@ -397,16 +397,16 @@ variable {w : σ → M} (n : M) (φ ψ : MvPolynomial σ R)
 #print MvPolynomial.coeff_weightedHomogeneousComponent /-
 theorem coeff_weightedHomogeneousComponent [DecidableEq M] (d : σ →₀ ℕ) :
     coeff d (weightedHomogeneousComponent w n φ) =
-      if weightedDegree' w d = n then coeff d φ else 0 :=
-  Finsupp.filter_apply (fun d : σ →₀ ℕ => weightedDegree' w d = n) φ d
+      if weightedDegree w d = n then coeff d φ else 0 :=
+  Finsupp.filter_apply (fun d : σ →₀ ℕ => weightedDegree w d = n) φ d
 #align mv_polynomial.coeff_weighted_homogeneous_component MvPolynomial.coeff_weightedHomogeneousComponent
 -/
 
 #print MvPolynomial.weightedHomogeneousComponent_apply /-
 theorem weightedHomogeneousComponent_apply [DecidableEq M] :
     weightedHomogeneousComponent w n φ =
-      ∑ d in φ.support.filterₓ fun d => weightedDegree' w d = n, monomial d (coeff d φ) :=
-  Finsupp.filter_eq_sum (fun d : σ →₀ ℕ => weightedDegree' w d = n) φ
+      ∑ d in φ.support.filterₓ fun d => weightedDegree w d = n, monomial d (coeff d φ) :=
+  Finsupp.filter_eq_sum (fun d : σ →₀ ℕ => weightedDegree w d = n) φ
 #align mv_polynomial.weighted_homogeneous_component_apply MvPolynomial.weightedHomogeneousComponent_apply
 -/
 
@@ -432,7 +432,7 @@ theorem weightedHomogeneousComponent_C_mul (n : M) (r : R) :
 
 #print MvPolynomial.weightedHomogeneousComponent_eq_zero' /-
 theorem weightedHomogeneousComponent_eq_zero'
-    (h : ∀ d : σ →₀ ℕ, d ∈ φ.support → weightedDegree' w d ≠ n) :
+    (h : ∀ d : σ →₀ ℕ, d ∈ φ.support → weightedDegree w d ≠ n) :
     weightedHomogeneousComponent w n φ = 0 := by
   classical
   rw [weighted_homogeneous_component_apply, sum_eq_zero]

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

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Antoine Chambert-Loir, María Inés de Frutos-Fernández
 -/
 import Algebra.GradedMonoid
-import Data.MvPolynomial.Degrees
+import Algebra.MvPolynomial.Degrees
 
 #align_import ring_theory.mv_polynomial.weighted_homogeneous from "leanprover-community/mathlib"@"2f5b500a507264de86d666a5f87ddb976e2d8de4"
 

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

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Antoine Chambert-Loir, María Inés de Frutos-Fernández
 -/
 import Algebra.GradedMonoid
-import Data.MvPolynomial.Variables
+import Data.MvPolynomial.Degrees
 
 #align_import ring_theory.mv_polynomial.weighted_homogeneous from "leanprover-community/mathlib"@"2f5b500a507264de86d666a5f87ddb976e2d8de4"
 

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

@@ -117,7 +117,7 @@ def weightedTotalDegree (w : σ → M) (p : MvPolynomial σ R) : M :=
 theorem weightedTotalDegree_coe (w : σ → M) (p : MvPolynomial σ R) (hp : p ≠ 0) :
     weightedTotalDegree' w p = ↑(weightedTotalDegree w p) :=
   by
-  rw [Ne.def, ← weighted_total_degree'_eq_bot_iff w p, ← Ne.def, WithBot.ne_bot_iff_exists] at hp 
+  rw [Ne.def, ← weighted_total_degree'_eq_bot_iff w p, ← Ne.def, WithBot.ne_bot_iff_exists] at hp
   obtain ⟨m, hm⟩ := hp
   apply le_antisymm
   · simp only [weighted_total_degree, weighted_total_degree', Finset.sup_le_iff, WithBot.coe_le_coe]
@@ -164,11 +164,11 @@ def weightedHomogeneousSubmodule (w : σ → M) (m : M) : Submodule R (MvPolynom
     where
   carrier := {x | x.IsWeightedHomogeneous w m}
   smul_mem' r a ha c hc := by
-    rw [coeff_smul] at hc 
+    rw [coeff_smul] at hc
     exact ha (right_ne_zero_of_mul hc)
   zero_mem' d hd := False.elim (hd <| coeff_zero _)
   add_mem' a b ha hb c hc := by
-    rw [coeff_add] at hc 
+    rw [coeff_add] at hc
     obtain h | h : coeff c a ≠ 0 ∨ coeff c b ≠ 0 := by contrapose! hc; simp only [hc, add_zero]
     · exact ha h
     · exact hb h
@@ -210,7 +210,7 @@ theorem weightedHomogeneousSubmodule_mul (w : σ → M) (m n : M) :
   by
   rw [Submodule.mul_le]
   intro φ hφ ψ hψ c hc
-  rw [coeff_mul] at hc 
+  rw [coeff_mul] at hc
   obtain ⟨⟨d, e⟩, hde, H⟩ := Finset.exists_ne_zero_of_sum_ne_zero hc
   have aux : coeff d φ ≠ 0 ∧ coeff e ψ ≠ 0 :=
     by
@@ -227,8 +227,8 @@ theorem isWeightedHomogeneous_monomial (w : σ → M) (d : σ →₀ ℕ) (r : R
     (hm : weightedDegree' w d = m) : IsWeightedHomogeneous w (monomial d r) m := by
   classical
   intro c hc
-  rw [coeff_monomial] at hc 
-  split_ifs at hc  with h
+  rw [coeff_monomial] at hc
+  split_ifs at hc with h
   · subst c; exact hm
   · contradiction
 #align mv_polynomial.is_weighted_homogeneous_monomial MvPolynomial.isWeightedHomogeneous_monomial
@@ -241,7 +241,7 @@ theorem isWeightedHomogeneous_of_total_degree_zero [SemilatticeSup M] [OrderBot
     IsWeightedHomogeneous w p (⊥ : M) := by
   intro d hd
   have h := weighted_total_degree_coe w p (mv_polynomial.ne_zero_iff.mpr ⟨d, hd⟩)
-  simp only [weighted_total_degree', hp] at h 
+  simp only [weighted_total_degree', hp] at h
   rw [eq_bot_iff, ← WithBot.coe_le_coe, ← h]
   exact Finset.le_sup (mem_support_iff.mpr hd)
 #align mv_polynomial.is_weighted_homogeneous_of_total_degree_zero MvPolynomial.isWeightedHomogeneous_of_total_degree_zero
@@ -290,7 +290,7 @@ variable {R} {φ ψ : MvPolynomial σ R} {m n : M}
 /-- The weighted degree of a weighted homogeneous polynomial controls its support. -/
 theorem coeff_eq_zero {w : σ → M} (hφ : IsWeightedHomogeneous w φ n) (d : σ →₀ ℕ)
     (hd : weightedDegree' w d ≠ n) : coeff d φ = 0 := by have aux := mt (@hφ d) hd;
-  rwa [Classical.not_not] at aux 
+  rwa [Classical.not_not] at aux
 #align mv_polynomial.is_weighted_homogeneous.coeff_eq_zero MvPolynomial.IsWeightedHomogeneous.coeff_eq_zero
 -/
 
@@ -437,7 +437,7 @@ theorem weightedHomogeneousComponent_eq_zero'
   classical
   rw [weighted_homogeneous_component_apply, sum_eq_zero]
   intro d hd
-  rw [mem_filter] at hd 
+  rw [mem_filter] at hd
   exfalso
   exact h _ hd.1 hd.2
 #align mv_polynomial.weighted_homogeneous_component_eq_zero' MvPolynomial.weightedHomogeneousComponent_eq_zero'
@@ -449,7 +449,7 @@ theorem weightedHomogeneousComponent_eq_zero [SemilatticeSup M] [OrderBot M]
   classical
   rw [weighted_homogeneous_component_apply, sum_eq_zero]
   intro d hd
-  rw [mem_filter] at hd 
+  rw [mem_filter] at hd
   exfalso
   apply lt_irrefl n
   nth_rw 1 [← hd.2]
@@ -468,8 +468,8 @@ theorem weightedHomogeneousComponent_finsupp :
     exact finite.subset ((fun d : σ →₀ ℕ => (weighted_degree' w) d) '' ↑(support φ)).toFinite this
   intro m hm
   by_contra hm'; apply hm
-  simp only [mem_support, Ne.def] at hm 
-  simp only [Set.mem_image, not_exists, not_and] at hm' 
+  simp only [mem_support, Ne.def] at hm
+  simp only [Set.mem_image, not_exists, not_and] at hm'
   exact weighted_homogeneous_component_eq_zero' m φ hm'
 #align mv_polynomial.weighted_homogeneous_component_finsupp MvPolynomial.weightedHomogeneousComponent_finsupp
 -/
@@ -488,9 +488,9 @@ theorem sum_weightedHomogeneousComponent :
   · rw [if_pos rfl]
   · intro m hm hm'; rw [if_neg hm'.symm]
   · intro hm; rw [if_pos rfl]
-    simp only [finite.mem_to_finset, mem_support, Ne.def, Classical.not_not] at hm 
+    simp only [finite.mem_to_finset, mem_support, Ne.def, Classical.not_not] at hm
     have := coeff_weighted_homogeneous_component (_ : M) φ d
-    rw [hm, if_pos rfl, coeff_zero] at this 
+    rw [hm, if_pos rfl, coeff_zero] at this
     exact this.symm
 #align mv_polynomial.sum_weighted_homogeneous_component MvPolynomial.sum_weightedHomogeneousComponent
 -/
@@ -503,7 +503,7 @@ theorem weightedHomogeneousComponent_weighted_homogeneous_polynomial [DecidableE
     (p : MvPolynomial σ R) (h : p ∈ weightedHomogeneousSubmodule R w n) :
     weightedHomogeneousComponent w m p = if m = n then p else 0 :=
   by
-  simp only [mem_weighted_homogeneous_submodule] at h 
+  simp only [mem_weighted_homogeneous_submodule] at h
   ext x
   rw [coeff_weighted_homogeneous_component]
   by_cases zero_coeff : coeff x p = 0
@@ -539,7 +539,7 @@ theorem weightedHomogeneousComponent_zero [NoZeroSMulDivisors ℕ M] (hw : ∀ i
     simp only [weighted_degree', LinearMap.toAddMonoidHom_coe, Finsupp.total_apply, Finsupp.sum,
       sum_eq_zero_iff, Finsupp.mem_support_iff, Ne.def, smul_eq_zero, Classical.not_forall, not_or,
       and_self_left, exists_prop]
-    simp only [Finsupp.ext_iff, Finsupp.coe_zero, Pi.zero_apply, Classical.not_forall] at hd 
+    simp only [Finsupp.ext_iff, Finsupp.coe_zero, Pi.zero_apply, Classical.not_forall] at hd
     obtain ⟨i, hi⟩ := hd
     exact ⟨i, hi, hw i⟩
 #align mv_polynomial.weighted_homogeneous_component_zero MvPolynomial.weightedHomogeneousComponent_zero

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

@@ -224,7 +224,13 @@ theorem weightedHomogeneousSubmodule_mul (w : σ → M) (m n : M) :
 #print MvPolynomial.isWeightedHomogeneous_monomial /-
 /-- Monomials are weighted homogeneous. -/
 theorem isWeightedHomogeneous_monomial (w : σ → M) (d : σ →₀ ℕ) (r : R) {m : M}
-    (hm : weightedDegree' w d = m) : IsWeightedHomogeneous w (monomial d r) m := by classical
+    (hm : weightedDegree' w d = m) : IsWeightedHomogeneous w (monomial d r) m := by
+  classical
+  intro c hc
+  rw [coeff_monomial] at hc 
+  split_ifs at hc  with h
+  · subst c; exact hm
+  · contradiction
 #align mv_polynomial.is_weighted_homogeneous_monomial MvPolynomial.isWeightedHomogeneous_monomial
 -/
 
@@ -331,7 +337,15 @@ theorem mul {w : σ → M} (hφ : IsWeightedHomogeneous w φ m) (hψ : IsWeighte
 theorem prod {ι : Type _} (s : Finset ι) (φ : ι → MvPolynomial σ R) (n : ι → M) {w : σ → M} :
     (∀ i ∈ s, IsWeightedHomogeneous w (φ i) (n i)) →
       IsWeightedHomogeneous w (∏ i in s, φ i) (∑ i in s, n i) :=
-  by classical
+  by
+  classical
+  apply Finset.induction_on s
+  · intro; simp only [is_weighted_homogeneous_one, Finset.sum_empty, Finset.prod_empty]
+  · intro i s his IH h
+    simp only [his, Finset.prod_insert, Finset.sum_insert, not_false_iff]
+    apply (h i (Finset.mem_insert_self _ _)).mul (IH _)
+    intro j hjs
+    exact h j (Finset.mem_insert_of_mem hjs)
 #align mv_polynomial.is_weighted_homogeneous.prod MvPolynomial.IsWeightedHomogeneous.prod
 -/
 
@@ -400,7 +414,11 @@ theorem weightedHomogeneousComponent_apply [DecidableEq M] :
 /-- The `n` weighted homogeneous component of a polynomial is weighted homogeneous of
 weighted degree `n`. -/
 theorem weightedHomogeneousComponent_isWeightedHomogeneous :
-    (weightedHomogeneousComponent w n φ).IsWeightedHomogeneous w n := by classical
+    (weightedHomogeneousComponent w n φ).IsWeightedHomogeneous w n := by
+  classical
+  intro d hd
+  contrapose! hd
+  rw [coeff_weighted_homogeneous_component, if_neg hd]
 #align mv_polynomial.weighted_homogeneous_component_is_weighted_homogeneous MvPolynomial.weightedHomogeneousComponent_isWeightedHomogeneous
 -/
 
@@ -415,13 +433,27 @@ theorem weightedHomogeneousComponent_C_mul (n : M) (r : R) :
 #print MvPolynomial.weightedHomogeneousComponent_eq_zero' /-
 theorem weightedHomogeneousComponent_eq_zero'
     (h : ∀ d : σ →₀ ℕ, d ∈ φ.support → weightedDegree' w d ≠ n) :
-    weightedHomogeneousComponent w n φ = 0 := by classical
+    weightedHomogeneousComponent w n φ = 0 := by
+  classical
+  rw [weighted_homogeneous_component_apply, sum_eq_zero]
+  intro d hd
+  rw [mem_filter] at hd 
+  exfalso
+  exact h _ hd.1 hd.2
 #align mv_polynomial.weighted_homogeneous_component_eq_zero' MvPolynomial.weightedHomogeneousComponent_eq_zero'
 -/
 
 #print MvPolynomial.weightedHomogeneousComponent_eq_zero /-
 theorem weightedHomogeneousComponent_eq_zero [SemilatticeSup M] [OrderBot M]
-    (h : weightedTotalDegree w φ < n) : weightedHomogeneousComponent w n φ = 0 := by classical
+    (h : weightedTotalDegree w φ < n) : weightedHomogeneousComponent w n φ = 0 := by
+  classical
+  rw [weighted_homogeneous_component_apply, sum_eq_zero]
+  intro d hd
+  rw [mem_filter] at hd 
+  exfalso
+  apply lt_irrefl n
+  nth_rw 1 [← hd.2]
+  exact lt_of_le_of_lt (le_weighted_total_degree w hd.1) h
 #align mv_polynomial.weighted_homogeneous_component_eq_zero MvPolynomial.weightedHomogeneousComponent_eq_zero
 -/
 
@@ -447,7 +479,19 @@ variable (w)
 #print MvPolynomial.sum_weightedHomogeneousComponent /-
 /-- Every polynomial is the sum of its weighted homogeneous components. -/
 theorem sum_weightedHomogeneousComponent :
-    (finsum fun m => weightedHomogeneousComponent w m φ) = φ := by classical
+    (finsum fun m => weightedHomogeneousComponent w m φ) = φ := by
+  classical
+  rw [finsum_eq_sum _ (weighted_homogeneous_component_finsupp φ)]
+  ext1 d
+  simp only [coeff_sum, coeff_weighted_homogeneous_component]
+  rw [Finset.sum_eq_single (weighted_degree' w d)]
+  · rw [if_pos rfl]
+  · intro m hm hm'; rw [if_neg hm'.symm]
+  · intro hm; rw [if_pos rfl]
+    simp only [finite.mem_to_finset, mem_support, Ne.def, Classical.not_not] at hm 
+    have := coeff_weighted_homogeneous_component (_ : M) φ d
+    rw [hm, if_pos rfl, coeff_zero] at this 
+    exact this.symm
 #align mv_polynomial.sum_weighted_homogeneous_component MvPolynomial.sum_weightedHomogeneousComponent
 -/
 
@@ -486,7 +530,18 @@ variable [CanonicallyOrderedAddCommMonoid M] {w : σ → M} (φ : MvPolynomial 
   of weighted degree `0` of a polynomial is its constant coefficient. -/
 @[simp]
 theorem weightedHomogeneousComponent_zero [NoZeroSMulDivisors ℕ M] (hw : ∀ i : σ, w i ≠ 0) :
-    weightedHomogeneousComponent w 0 φ = C (coeff 0 φ) := by classical
+    weightedHomogeneousComponent w 0 φ = C (coeff 0 φ) := by
+  classical
+  ext1 d
+  rcases em (d = 0) with (rfl | hd)
+  · simp only [coeff_weighted_homogeneous_component, if_pos, map_zero, coeff_zero_C]
+  · rw [coeff_weighted_homogeneous_component, if_neg, coeff_C, if_neg (Ne.symm hd)]
+    simp only [weighted_degree', LinearMap.toAddMonoidHom_coe, Finsupp.total_apply, Finsupp.sum,
+      sum_eq_zero_iff, Finsupp.mem_support_iff, Ne.def, smul_eq_zero, Classical.not_forall, not_or,
+      and_self_left, exists_prop]
+    simp only [Finsupp.ext_iff, Finsupp.coe_zero, Pi.zero_apply, Classical.not_forall] at hd 
+    obtain ⟨i, hi⟩ := hd
+    exact ⟨i, hi, hw i⟩
 #align mv_polynomial.weighted_homogeneous_component_zero MvPolynomial.weightedHomogeneousComponent_zero
 -/
 

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

@@ -224,13 +224,7 @@ theorem weightedHomogeneousSubmodule_mul (w : σ → M) (m n : M) :
 #print MvPolynomial.isWeightedHomogeneous_monomial /-
 /-- Monomials are weighted homogeneous. -/
 theorem isWeightedHomogeneous_monomial (w : σ → M) (d : σ →₀ ℕ) (r : R) {m : M}
-    (hm : weightedDegree' w d = m) : IsWeightedHomogeneous w (monomial d r) m := by
-  classical
-  intro c hc
-  rw [coeff_monomial] at hc 
-  split_ifs at hc  with h
-  · subst c; exact hm
-  · contradiction
+    (hm : weightedDegree' w d = m) : IsWeightedHomogeneous w (monomial d r) m := by classical
 #align mv_polynomial.is_weighted_homogeneous_monomial MvPolynomial.isWeightedHomogeneous_monomial
 -/
 
@@ -337,15 +331,7 @@ theorem mul {w : σ → M} (hφ : IsWeightedHomogeneous w φ m) (hψ : IsWeighte
 theorem prod {ι : Type _} (s : Finset ι) (φ : ι → MvPolynomial σ R) (n : ι → M) {w : σ → M} :
     (∀ i ∈ s, IsWeightedHomogeneous w (φ i) (n i)) →
       IsWeightedHomogeneous w (∏ i in s, φ i) (∑ i in s, n i) :=
-  by
-  classical
-  apply Finset.induction_on s
-  · intro; simp only [is_weighted_homogeneous_one, Finset.sum_empty, Finset.prod_empty]
-  · intro i s his IH h
-    simp only [his, Finset.prod_insert, Finset.sum_insert, not_false_iff]
-    apply (h i (Finset.mem_insert_self _ _)).mul (IH _)
-    intro j hjs
-    exact h j (Finset.mem_insert_of_mem hjs)
+  by classical
 #align mv_polynomial.is_weighted_homogeneous.prod MvPolynomial.IsWeightedHomogeneous.prod
 -/
 
@@ -414,11 +400,7 @@ theorem weightedHomogeneousComponent_apply [DecidableEq M] :
 /-- The `n` weighted homogeneous component of a polynomial is weighted homogeneous of
 weighted degree `n`. -/
 theorem weightedHomogeneousComponent_isWeightedHomogeneous :
-    (weightedHomogeneousComponent w n φ).IsWeightedHomogeneous w n := by
-  classical
-  intro d hd
-  contrapose! hd
-  rw [coeff_weighted_homogeneous_component, if_neg hd]
+    (weightedHomogeneousComponent w n φ).IsWeightedHomogeneous w n := by classical
 #align mv_polynomial.weighted_homogeneous_component_is_weighted_homogeneous MvPolynomial.weightedHomogeneousComponent_isWeightedHomogeneous
 -/
 
@@ -433,27 +415,13 @@ theorem weightedHomogeneousComponent_C_mul (n : M) (r : R) :
 #print MvPolynomial.weightedHomogeneousComponent_eq_zero' /-
 theorem weightedHomogeneousComponent_eq_zero'
     (h : ∀ d : σ →₀ ℕ, d ∈ φ.support → weightedDegree' w d ≠ n) :
-    weightedHomogeneousComponent w n φ = 0 := by
-  classical
-  rw [weighted_homogeneous_component_apply, sum_eq_zero]
-  intro d hd
-  rw [mem_filter] at hd 
-  exfalso
-  exact h _ hd.1 hd.2
+    weightedHomogeneousComponent w n φ = 0 := by classical
 #align mv_polynomial.weighted_homogeneous_component_eq_zero' MvPolynomial.weightedHomogeneousComponent_eq_zero'
 -/
 
 #print MvPolynomial.weightedHomogeneousComponent_eq_zero /-
 theorem weightedHomogeneousComponent_eq_zero [SemilatticeSup M] [OrderBot M]
-    (h : weightedTotalDegree w φ < n) : weightedHomogeneousComponent w n φ = 0 := by
-  classical
-  rw [weighted_homogeneous_component_apply, sum_eq_zero]
-  intro d hd
-  rw [mem_filter] at hd 
-  exfalso
-  apply lt_irrefl n
-  nth_rw 1 [← hd.2]
-  exact lt_of_le_of_lt (le_weighted_total_degree w hd.1) h
+    (h : weightedTotalDegree w φ < n) : weightedHomogeneousComponent w n φ = 0 := by classical
 #align mv_polynomial.weighted_homogeneous_component_eq_zero MvPolynomial.weightedHomogeneousComponent_eq_zero
 -/
 
@@ -479,19 +447,7 @@ variable (w)
 #print MvPolynomial.sum_weightedHomogeneousComponent /-
 /-- Every polynomial is the sum of its weighted homogeneous components. -/
 theorem sum_weightedHomogeneousComponent :
-    (finsum fun m => weightedHomogeneousComponent w m φ) = φ := by
-  classical
-  rw [finsum_eq_sum _ (weighted_homogeneous_component_finsupp φ)]
-  ext1 d
-  simp only [coeff_sum, coeff_weighted_homogeneous_component]
-  rw [Finset.sum_eq_single (weighted_degree' w d)]
-  · rw [if_pos rfl]
-  · intro m hm hm'; rw [if_neg hm'.symm]
-  · intro hm; rw [if_pos rfl]
-    simp only [finite.mem_to_finset, mem_support, Ne.def, Classical.not_not] at hm 
-    have := coeff_weighted_homogeneous_component (_ : M) φ d
-    rw [hm, if_pos rfl, coeff_zero] at this 
-    exact this.symm
+    (finsum fun m => weightedHomogeneousComponent w m φ) = φ := by classical
 #align mv_polynomial.sum_weighted_homogeneous_component MvPolynomial.sum_weightedHomogeneousComponent
 -/
 
@@ -530,18 +486,7 @@ variable [CanonicallyOrderedAddCommMonoid M] {w : σ → M} (φ : MvPolynomial 
   of weighted degree `0` of a polynomial is its constant coefficient. -/
 @[simp]
 theorem weightedHomogeneousComponent_zero [NoZeroSMulDivisors ℕ M] (hw : ∀ i : σ, w i ≠ 0) :
-    weightedHomogeneousComponent w 0 φ = C (coeff 0 φ) := by
-  classical
-  ext1 d
-  rcases em (d = 0) with (rfl | hd)
-  · simp only [coeff_weighted_homogeneous_component, if_pos, map_zero, coeff_zero_C]
-  · rw [coeff_weighted_homogeneous_component, if_neg, coeff_C, if_neg (Ne.symm hd)]
-    simp only [weighted_degree', LinearMap.toAddMonoidHom_coe, Finsupp.total_apply, Finsupp.sum,
-      sum_eq_zero_iff, Finsupp.mem_support_iff, Ne.def, smul_eq_zero, Classical.not_forall, not_or,
-      and_self_left, exists_prop]
-    simp only [Finsupp.ext_iff, Finsupp.coe_zero, Pi.zero_apply, Classical.not_forall] at hd 
-    obtain ⟨i, hi⟩ := hd
-    exact ⟨i, hi, hw i⟩
+    weightedHomogeneousComponent w 0 φ = C (coeff 0 φ) := by classical
 #align mv_polynomial.weighted_homogeneous_component_zero MvPolynomial.weightedHomogeneousComponent_zero
 -/
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/b1abe23ae96fef89ad30d9f4362c307f72a55010

@@ -537,9 +537,9 @@ theorem weightedHomogeneousComponent_zero [NoZeroSMulDivisors ℕ M] (hw : ∀ i
   · simp only [coeff_weighted_homogeneous_component, if_pos, map_zero, coeff_zero_C]
   · rw [coeff_weighted_homogeneous_component, if_neg, coeff_C, if_neg (Ne.symm hd)]
     simp only [weighted_degree', LinearMap.toAddMonoidHom_coe, Finsupp.total_apply, Finsupp.sum,
-      sum_eq_zero_iff, Finsupp.mem_support_iff, Ne.def, smul_eq_zero, not_forall, not_or,
+      sum_eq_zero_iff, Finsupp.mem_support_iff, Ne.def, smul_eq_zero, Classical.not_forall, not_or,
       and_self_left, exists_prop]
-    simp only [Finsupp.ext_iff, Finsupp.coe_zero, Pi.zero_apply, not_forall] at hd 
+    simp only [Finsupp.ext_iff, Finsupp.coe_zero, Pi.zero_apply, Classical.not_forall] at hd 
     obtain ⟨i, hi⟩ := hd
     exact ⟨i, hi, hw i⟩
 #align mv_polynomial.weighted_homogeneous_component_zero MvPolynomial.weightedHomogeneousComponent_zero

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

@@ -521,9 +521,9 @@ end WeightedHomogeneousComponent
 
 end AddCommMonoid
 
-section CanonicallyOrderedAddMonoid
+section CanonicallyOrderedAddCommMonoid
 
-variable [CanonicallyOrderedAddMonoid M] {w : σ → M} (φ : MvPolynomial σ R)
+variable [CanonicallyOrderedAddCommMonoid M] {w : σ → M} (φ : MvPolynomial σ R)
 
 #print MvPolynomial.weightedHomogeneousComponent_zero /-
 /-- If `M` is a `canonically_ordered_add_monoid`, then the `weighted_homogeneous_component`
@@ -545,7 +545,7 @@ theorem weightedHomogeneousComponent_zero [NoZeroSMulDivisors ℕ M] (hw : ∀ i
 #align mv_polynomial.weighted_homogeneous_component_zero MvPolynomial.weightedHomogeneousComponent_zero
 -/
 
-end CanonicallyOrderedAddMonoid
+end CanonicallyOrderedAddCommMonoid
 
 end MvPolynomial
 

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

@@ -3,8 +3,8 @@ Copyright (c) 2022 María Inés de Frutos-Fernández. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Antoine Chambert-Loir, María Inés de Frutos-Fernández
 -/
-import Mathbin.Algebra.GradedMonoid
-import Mathbin.Data.MvPolynomial.Variables
+import Algebra.GradedMonoid
+import Data.MvPolynomial.Variables
 
 #align_import ring_theory.mv_polynomial.weighted_homogeneous from "leanprover-community/mathlib"@"2f5b500a507264de86d666a5f87ddb976e2d8de4"
 

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

@@ -372,7 +372,7 @@ instance WeightedHomogeneousSubmodule.gcomm_monoid {w : σ → M} :
     SetLike.GradedMonoid (weightedHomogeneousSubmodule R w)
     where
   one_mem := isWeightedHomogeneous_one R w
-  mul_mem i j xi xj := IsWeightedHomogeneous.mul
+  hMul_mem i j xi xj := IsWeightedHomogeneous.mul
 #align mv_polynomial.is_weighted_homogeneous.weighted_homogeneous_submodule.gcomm_monoid MvPolynomial.IsWeightedHomogeneous.WeightedHomogeneousSubmodule.gcomm_monoid
 -/
 

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

@@ -2,15 +2,12 @@
 Copyright (c) 2022 María Inés de Frutos-Fernández. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Antoine Chambert-Loir, María Inés de Frutos-Fernández
-
-! This file was ported from Lean 3 source module ring_theory.mv_polynomial.weighted_homogeneous
-! leanprover-community/mathlib commit 2f5b500a507264de86d666a5f87ddb976e2d8de4
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Algebra.GradedMonoid
 import Mathbin.Data.MvPolynomial.Variables
 
+#align_import ring_theory.mv_polynomial.weighted_homogeneous from "leanprover-community/mathlib"@"2f5b500a507264de86d666a5f87ddb976e2d8de4"
+
 /-!
 # Weighted homogeneous polynomials
 

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

@@ -85,6 +85,7 @@ def weightedTotalDegree' (w : σ → M) (p : MvPolynomial σ R) : WithBot M :=
 #align mv_polynomial.weighted_total_degree' MvPolynomial.weightedTotalDegree'
 -/
 
+#print MvPolynomial.weightedTotalDegree'_eq_bot_iff /-
 /-- The `weighted_total_degree'` of a polynomial `p` is `⊥` if and only if `p = 0`. -/
 theorem weightedTotalDegree'_eq_bot_iff (w : σ → M) (p : MvPolynomial σ R) :
     weightedTotalDegree' w p = ⊥ ↔ p = 0 :=
@@ -93,11 +94,14 @@ theorem weightedTotalDegree'_eq_bot_iff (w : σ → M) (p : MvPolynomial σ R) :
     MvPolynomial.eq_zero_iff]
   exact forall_congr' fun _ => Classical.not_not
 #align mv_polynomial.weighted_total_degree'_eq_bot_iff MvPolynomial.weightedTotalDegree'_eq_bot_iff
+-/
 
+#print MvPolynomial.weightedTotalDegree'_zero /-
 /-- The `weighted_total_degree'` of the zero polynomial is `⊥`. -/
 theorem weightedTotalDegree'_zero (w : σ → M) : weightedTotalDegree' w (0 : MvPolynomial σ R) = ⊥ :=
   by simp only [weighted_total_degree', support_zero, Finset.sup_empty]
 #align mv_polynomial.weighted_total_degree'_zero MvPolynomial.weightedTotalDegree'_zero
+-/
 
 section OrderBot
 
@@ -111,6 +115,7 @@ def weightedTotalDegree (w : σ → M) (p : MvPolynomial σ R) : M :=
 #align mv_polynomial.weighted_total_degree MvPolynomial.weightedTotalDegree
 -/
 
+#print MvPolynomial.weightedTotalDegree_coe /-
 /-- This lemma relates `weighted_total_degree` and `weighted_total_degree'`. -/
 theorem weightedTotalDegree_coe (w : σ → M) (p : MvPolynomial σ R) (hp : p ≠ 0) :
     weightedTotalDegree' w p = ↑(weightedTotalDegree w p) :=
@@ -126,16 +131,21 @@ theorem weightedTotalDegree_coe (w : σ → M) (p : MvPolynomial σ R) (hp : p 
     rw [← hm]
     simpa [weighted_total_degree'] using hm'
 #align mv_polynomial.weighted_total_degree_coe MvPolynomial.weightedTotalDegree_coe
+-/
 
+#print MvPolynomial.weightedTotalDegree_zero /-
 /-- The `weighted_total_degree` of the zero polynomial is `⊥`. -/
 theorem weightedTotalDegree_zero (w : σ → M) : weightedTotalDegree w (0 : MvPolynomial σ R) = ⊥ :=
   by simp only [weighted_total_degree, support_zero, Finset.sup_empty]
 #align mv_polynomial.weighted_total_degree_zero MvPolynomial.weightedTotalDegree_zero
+-/
 
+#print MvPolynomial.le_weightedTotalDegree /-
 theorem le_weightedTotalDegree (w : σ → M) {φ : MvPolynomial σ R} {d : σ →₀ ℕ}
     (hd : d ∈ φ.support) : weightedDegree' w d ≤ φ.weightedTotalDegree w :=
   le_sup hd
 #align mv_polynomial.le_weighted_total_degree MvPolynomial.le_weightedTotalDegree
+-/
 
 end OrderBot
 
@@ -168,14 +178,17 @@ def weightedHomogeneousSubmodule (w : σ → M) (m : M) : Submodule R (MvPolynom
 #align mv_polynomial.weighted_homogeneous_submodule MvPolynomial.weightedHomogeneousSubmodule
 -/
 
+#print MvPolynomial.mem_weightedHomogeneousSubmodule /-
 @[simp]
 theorem mem_weightedHomogeneousSubmodule (w : σ → M) (m : M) (p : MvPolynomial σ R) :
     p ∈ weightedHomogeneousSubmodule R w m ↔ p.IsWeightedHomogeneous w m :=
   Iff.rfl
 #align mv_polynomial.mem_weighted_homogeneous_submodule MvPolynomial.mem_weightedHomogeneousSubmodule
+-/
 
 variable (R)
 
+#print MvPolynomial.weightedHomogeneousSubmodule_eq_finsupp_supported /-
 /-- The submodule ` weighted_homogeneous_submodule R w m` of homogeneous `mv_polynomial`s of
   degree `n` is equal to the `R`-submodule of all `p : (σ →₀ ℕ) →₀ R` such that
   `p.support ⊆ {d | weighted_degree' w d = m}`. While equal, the former has a
@@ -187,9 +200,11 @@ theorem weightedHomogeneousSubmodule_eq_finsupp_supported (w : σ → M) (m : M)
   simp only [mem_supported, Set.subset_def, Finsupp.mem_support_iff, mem_coe]
   rfl
 #align mv_polynomial.weighted_homogeneous_submodule_eq_finsupp_supported MvPolynomial.weightedHomogeneousSubmodule_eq_finsupp_supported
+-/
 
 variable {R}
 
+#print MvPolynomial.weightedHomogeneousSubmodule_mul /-
 /-- The submodule generated by products `Pm *Pn` of weighted homogeneous polynomials of degrees `m`
   and `n` is contained in the submodule of weighted homogeneous polynomials of degree `m + n`. -/
 theorem weightedHomogeneousSubmodule_mul (w : σ → M) (m n : M) :
@@ -207,7 +222,9 @@ theorem weightedHomogeneousSubmodule_mul (w : σ → M) (m n : M) :
       simp_all only [Ne.def, not_false_iff, MulZeroClass.zero_mul, MulZeroClass.mul_zero]
   rw [← finsupp.mem_antidiagonal.mp hde, ← hφ aux.1, ← hψ aux.2, map_add]
 #align mv_polynomial.weighted_homogeneous_submodule_mul MvPolynomial.weightedHomogeneousSubmodule_mul
+-/
 
+#print MvPolynomial.isWeightedHomogeneous_monomial /-
 /-- Monomials are weighted homogeneous. -/
 theorem isWeightedHomogeneous_monomial (w : σ → M) (d : σ →₀ ℕ) (r : R) {m : M}
     (hm : weightedDegree' w d = m) : IsWeightedHomogeneous w (monomial d r) m := by
@@ -218,7 +235,9 @@ theorem isWeightedHomogeneous_monomial (w : σ → M) (d : σ →₀ ℕ) (r : R
   · subst c; exact hm
   · contradiction
 #align mv_polynomial.is_weighted_homogeneous_monomial MvPolynomial.isWeightedHomogeneous_monomial
+-/
 
+#print MvPolynomial.isWeightedHomogeneous_of_total_degree_zero /-
 /-- A polynomial of weighted_total_degree `⊥` is weighted_homogeneous of degree `⊥`. -/
 theorem isWeightedHomogeneous_of_total_degree_zero [SemilatticeSup M] [OrderBot M] (w : σ → M)
     {p : MvPolynomial σ R} (hp : weightedTotalDegree w p = (⊥ : M)) :
@@ -229,26 +248,34 @@ theorem isWeightedHomogeneous_of_total_degree_zero [SemilatticeSup M] [OrderBot
   rw [eq_bot_iff, ← WithBot.coe_le_coe, ← h]
   exact Finset.le_sup (mem_support_iff.mpr hd)
 #align mv_polynomial.is_weighted_homogeneous_of_total_degree_zero MvPolynomial.isWeightedHomogeneous_of_total_degree_zero
+-/
 
+#print MvPolynomial.isWeightedHomogeneous_C /-
 /-- Constant polynomials are weighted homogeneous of degree 0. -/
 theorem isWeightedHomogeneous_C (w : σ → M) (r : R) :
     IsWeightedHomogeneous w (C r : MvPolynomial σ R) 0 :=
   isWeightedHomogeneous_monomial _ _ _ (map_zero _)
 #align mv_polynomial.is_weighted_homogeneous_C MvPolynomial.isWeightedHomogeneous_C
+-/
 
 variable (R)
 
+#print MvPolynomial.isWeightedHomogeneous_zero /-
 /-- 0 is weighted homogeneous of any degree. -/
 theorem isWeightedHomogeneous_zero (w : σ → M) (m : M) :
     IsWeightedHomogeneous w (0 : MvPolynomial σ R) m :=
   (weightedHomogeneousSubmodule R w m).zero_mem
 #align mv_polynomial.is_weighted_homogeneous_zero MvPolynomial.isWeightedHomogeneous_zero
+-/
 
+#print MvPolynomial.isWeightedHomogeneous_one /-
 /-- 1 is weighted homogeneous of degree 0. -/
 theorem isWeightedHomogeneous_one (w : σ → M) : IsWeightedHomogeneous w (1 : MvPolynomial σ R) 0 :=
   isWeightedHomogeneous_C _ _
 #align mv_polynomial.is_weighted_homogeneous_one MvPolynomial.isWeightedHomogeneous_one
+-/
 
+#print MvPolynomial.isWeightedHomogeneous_X /-
 /-- An indeterminate `i : σ` is weighted homogeneous of degree `w i`. -/
 theorem isWeightedHomogeneous_X (w : σ → M) (i : σ) :
     IsWeightedHomogeneous w (X i : MvPolynomial σ R) (w i) :=
@@ -256,17 +283,21 @@ theorem isWeightedHomogeneous_X (w : σ → M) (i : σ) :
   apply is_weighted_homogeneous_monomial
   simp only [weighted_degree', LinearMap.toAddMonoidHom_coe, total_single, one_nsmul]
 #align mv_polynomial.is_weighted_homogeneous_X MvPolynomial.isWeightedHomogeneous_X
+-/
 
 namespace IsWeightedHomogeneous
 
 variable {R} {φ ψ : MvPolynomial σ R} {m n : M}
 
+#print MvPolynomial.IsWeightedHomogeneous.coeff_eq_zero /-
 /-- The weighted degree of a weighted homogeneous polynomial controls its support. -/
 theorem coeff_eq_zero {w : σ → M} (hφ : IsWeightedHomogeneous w φ n) (d : σ →₀ ℕ)
     (hd : weightedDegree' w d ≠ n) : coeff d φ = 0 := by have aux := mt (@hφ d) hd;
   rwa [Classical.not_not] at aux 
 #align mv_polynomial.is_weighted_homogeneous.coeff_eq_zero MvPolynomial.IsWeightedHomogeneous.coeff_eq_zero
+-/
 
+#print MvPolynomial.IsWeightedHomogeneous.inj_right /-
 /-- The weighted degree of a nonzero weighted homogeneous polynomial is well-defined. -/
 theorem inj_right {w : σ → M} (hφ : φ ≠ 0) (hm : IsWeightedHomogeneous w φ m)
     (hn : IsWeightedHomogeneous w φ n) : m = n :=
@@ -274,28 +305,36 @@ theorem inj_right {w : σ → M} (hφ : φ ≠ 0) (hm : IsWeightedHomogeneous w
   obtain ⟨d, hd⟩ : ∃ d, coeff d φ ≠ 0 := exists_coeff_ne_zero hφ
   rw [← hm hd, ← hn hd]
 #align mv_polynomial.is_weighted_homogeneous.inj_right MvPolynomial.IsWeightedHomogeneous.inj_right
+-/
 
+#print MvPolynomial.IsWeightedHomogeneous.add /-
 /-- The sum of two weighted homogeneous polynomials of degree `n` is weighted homogeneous of
   weighted degree `n`. -/
 theorem add {w : σ → M} (hφ : IsWeightedHomogeneous w φ n) (hψ : IsWeightedHomogeneous w ψ n) :
     IsWeightedHomogeneous w (φ + ψ) n :=
   (weightedHomogeneousSubmodule R w n).add_mem hφ hψ
 #align mv_polynomial.is_weighted_homogeneous.add MvPolynomial.IsWeightedHomogeneous.add
+-/
 
+#print MvPolynomial.IsWeightedHomogeneous.sum /-
 /-- The sum of weighted homogeneous polynomials of degree `n` is weighted homogeneous of
   weighted degree `n`. -/
 theorem sum {ι : Type _} (s : Finset ι) (φ : ι → MvPolynomial σ R) (n : M) {w : σ → M}
     (h : ∀ i ∈ s, IsWeightedHomogeneous w (φ i) n) : IsWeightedHomogeneous w (∑ i in s, φ i) n :=
   (weightedHomogeneousSubmodule R w n).sum_mem h
 #align mv_polynomial.is_weighted_homogeneous.sum MvPolynomial.IsWeightedHomogeneous.sum
+-/
 
+#print MvPolynomial.IsWeightedHomogeneous.mul /-
 /-- The product of weighted homogeneous polynomials of weighted degrees `m` and `n` is weighted
   homogeneous of weighted degree `m + n`. -/
 theorem mul {w : σ → M} (hφ : IsWeightedHomogeneous w φ m) (hψ : IsWeightedHomogeneous w ψ n) :
     IsWeightedHomogeneous w (φ * ψ) (m + n) :=
   weightedHomogeneousSubmodule_mul w m n <| Submodule.mul_mem_mul hφ hψ
 #align mv_polynomial.is_weighted_homogeneous.mul MvPolynomial.IsWeightedHomogeneous.mul
+-/
 
+#print MvPolynomial.IsWeightedHomogeneous.prod /-
 /-- A product of weighted homogeneous polynomials is weighted homogeneous, with weighted degree
   equal to the sum of the weighted degrees. -/
 theorem prod {ι : Type _} (s : Finset ι) (φ : ι → MvPolynomial σ R) (n : ι → M) {w : σ → M} :
@@ -311,7 +350,9 @@ theorem prod {ι : Type _} (s : Finset ι) (φ : ι → MvPolynomial σ R) (n :
     intro j hjs
     exact h j (Finset.mem_insert_of_mem hjs)
 #align mv_polynomial.is_weighted_homogeneous.prod MvPolynomial.IsWeightedHomogeneous.prod
+-/
 
+#print MvPolynomial.IsWeightedHomogeneous.weighted_total_degree /-
 /-- A non zero weighted homogeneous polynomial of weighted degree `n` has weighted total degree
   `n`. -/
 theorem weighted_total_degree [SemilatticeSup M] {w : σ → M} (hφ : IsWeightedHomogeneous w φ n)
@@ -326,6 +367,7 @@ theorem weighted_total_degree [SemilatticeSup M] {w : σ → M} (hφ : IsWeighte
     replace hd := finsupp.mem_support_iff.mpr hd
     exact Finset.le_sup hd
 #align mv_polynomial.is_weighted_homogeneous.weighted_total_degree MvPolynomial.IsWeightedHomogeneous.weighted_total_degree
+-/
 
 #print MvPolynomial.IsWeightedHomogeneous.WeightedHomogeneousSubmodule.gcomm_monoid /-
 /-- The weighted homogeneous submodules form a graded monoid. -/
@@ -355,18 +397,23 @@ section WeightedHomogeneousComponent
 
 variable {w : σ → M} (n : M) (φ ψ : MvPolynomial σ R)
 
+#print MvPolynomial.coeff_weightedHomogeneousComponent /-
 theorem coeff_weightedHomogeneousComponent [DecidableEq M] (d : σ →₀ ℕ) :
     coeff d (weightedHomogeneousComponent w n φ) =
       if weightedDegree' w d = n then coeff d φ else 0 :=
   Finsupp.filter_apply (fun d : σ →₀ ℕ => weightedDegree' w d = n) φ d
 #align mv_polynomial.coeff_weighted_homogeneous_component MvPolynomial.coeff_weightedHomogeneousComponent
+-/
 
+#print MvPolynomial.weightedHomogeneousComponent_apply /-
 theorem weightedHomogeneousComponent_apply [DecidableEq M] :
     weightedHomogeneousComponent w n φ =
       ∑ d in φ.support.filterₓ fun d => weightedDegree' w d = n, monomial d (coeff d φ) :=
   Finsupp.filter_eq_sum (fun d : σ →₀ ℕ => weightedDegree' w d = n) φ
 #align mv_polynomial.weighted_homogeneous_component_apply MvPolynomial.weightedHomogeneousComponent_apply
+-/
 
+#print MvPolynomial.weightedHomogeneousComponent_isWeightedHomogeneous /-
 /-- The `n` weighted homogeneous component of a polynomial is weighted homogeneous of
 weighted degree `n`. -/
 theorem weightedHomogeneousComponent_isWeightedHomogeneous :
@@ -376,13 +423,17 @@ theorem weightedHomogeneousComponent_isWeightedHomogeneous :
   contrapose! hd
   rw [coeff_weighted_homogeneous_component, if_neg hd]
 #align mv_polynomial.weighted_homogeneous_component_is_weighted_homogeneous MvPolynomial.weightedHomogeneousComponent_isWeightedHomogeneous
+-/
 
+#print MvPolynomial.weightedHomogeneousComponent_C_mul /-
 @[simp]
 theorem weightedHomogeneousComponent_C_mul (n : M) (r : R) :
     weightedHomogeneousComponent w n (C r * φ) = C r * weightedHomogeneousComponent w n φ := by
   simp only [C_mul', LinearMap.map_smul]
 #align mv_polynomial.weighted_homogeneous_component_C_mul MvPolynomial.weightedHomogeneousComponent_C_mul
+-/
 
+#print MvPolynomial.weightedHomogeneousComponent_eq_zero' /-
 theorem weightedHomogeneousComponent_eq_zero'
     (h : ∀ d : σ →₀ ℕ, d ∈ φ.support → weightedDegree' w d ≠ n) :
     weightedHomogeneousComponent w n φ = 0 := by
@@ -393,7 +444,9 @@ theorem weightedHomogeneousComponent_eq_zero'
   exfalso
   exact h _ hd.1 hd.2
 #align mv_polynomial.weighted_homogeneous_component_eq_zero' MvPolynomial.weightedHomogeneousComponent_eq_zero'
+-/
 
+#print MvPolynomial.weightedHomogeneousComponent_eq_zero /-
 theorem weightedHomogeneousComponent_eq_zero [SemilatticeSup M] [OrderBot M]
     (h : weightedTotalDegree w φ < n) : weightedHomogeneousComponent w n φ = 0 := by
   classical
@@ -405,7 +458,9 @@ theorem weightedHomogeneousComponent_eq_zero [SemilatticeSup M] [OrderBot M]
   nth_rw 1 [← hd.2]
   exact lt_of_le_of_lt (le_weighted_total_degree w hd.1) h
 #align mv_polynomial.weighted_homogeneous_component_eq_zero MvPolynomial.weightedHomogeneousComponent_eq_zero
+-/
 
+#print MvPolynomial.weightedHomogeneousComponent_finsupp /-
 theorem weightedHomogeneousComponent_finsupp :
     (Function.support fun m => weightedHomogeneousComponent w m φ).Finite :=
   by
@@ -420,9 +475,11 @@ theorem weightedHomogeneousComponent_finsupp :
   simp only [Set.mem_image, not_exists, not_and] at hm' 
   exact weighted_homogeneous_component_eq_zero' m φ hm'
 #align mv_polynomial.weighted_homogeneous_component_finsupp MvPolynomial.weightedHomogeneousComponent_finsupp
+-/
 
 variable (w)
 
+#print MvPolynomial.sum_weightedHomogeneousComponent /-
 /-- Every polynomial is the sum of its weighted homogeneous components. -/
 theorem sum_weightedHomogeneousComponent :
     (finsum fun m => weightedHomogeneousComponent w m φ) = φ := by
@@ -439,9 +496,11 @@ theorem sum_weightedHomogeneousComponent :
     rw [hm, if_pos rfl, coeff_zero] at this 
     exact this.symm
 #align mv_polynomial.sum_weighted_homogeneous_component MvPolynomial.sum_weightedHomogeneousComponent
+-/
 
 variable {w}
 
+#print MvPolynomial.weightedHomogeneousComponent_weighted_homogeneous_polynomial /-
 /-- The weighted homogeneous components of a weighted homogeneous polynomial. -/
 theorem weightedHomogeneousComponent_weighted_homogeneous_polynomial [DecidableEq M] (m n : M)
     (p : MvPolynomial σ R) (h : p ∈ weightedHomogeneousSubmodule R w n) :
@@ -459,6 +518,7 @@ theorem weightedHomogeneousComponent_weighted_homogeneous_polynomial [DecidableE
     · rfl
     · simp only [coeff_zero]
 #align mv_polynomial.weighted_homogeneous_component_weighted_homogeneous_polynomial MvPolynomial.weightedHomogeneousComponent_weighted_homogeneous_polynomial
+-/
 
 end WeightedHomogeneousComponent
 
@@ -468,6 +528,7 @@ section CanonicallyOrderedAddMonoid
 
 variable [CanonicallyOrderedAddMonoid M] {w : σ → M} (φ : MvPolynomial σ R)
 
+#print MvPolynomial.weightedHomogeneousComponent_zero /-
 /-- If `M` is a `canonically_ordered_add_monoid`, then the `weighted_homogeneous_component`
   of weighted degree `0` of a polynomial is its constant coefficient. -/
 @[simp]
@@ -485,6 +546,7 @@ theorem weightedHomogeneousComponent_zero [NoZeroSMulDivisors ℕ M] (hw : ∀ i
     obtain ⟨i, hi⟩ := hd
     exact ⟨i, hi, hw i⟩
 #align mv_polynomial.weighted_homogeneous_component_zero MvPolynomial.weightedHomogeneousComponent_zero
+-/
 
 end CanonicallyOrderedAddMonoid
 

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

@@ -155,7 +155,7 @@ variable (R)
 /-- The submodule of homogeneous `mv_polynomial`s of degree `n`. -/
 def weightedHomogeneousSubmodule (w : σ → M) (m : M) : Submodule R (MvPolynomial σ R)
     where
-  carrier := { x | x.IsWeightedHomogeneous w m }
+  carrier := {x | x.IsWeightedHomogeneous w m}
   smul_mem' r a ha c hc := by
     rw [coeff_smul] at hc 
     exact ha (right_ne_zero_of_mul hc)
@@ -181,7 +181,7 @@ variable (R)
   `p.support ⊆ {d | weighted_degree' w d = m}`. While equal, the former has a
   convenient definitional reduction. -/
 theorem weightedHomogeneousSubmodule_eq_finsupp_supported (w : σ → M) (m : M) :
-    weightedHomogeneousSubmodule R w m = Finsupp.supported _ R { d | weightedDegree' w d = m } :=
+    weightedHomogeneousSubmodule R w m = Finsupp.supported _ R {d | weightedDegree' w d = m} :=
   by
   ext
   simp only [mem_supported, Set.subset_def, Finsupp.mem_support_iff, mem_coe]
@@ -212,11 +212,11 @@ theorem weightedHomogeneousSubmodule_mul (w : σ → M) (m n : M) :
 theorem isWeightedHomogeneous_monomial (w : σ → M) (d : σ →₀ ℕ) (r : R) {m : M}
     (hm : weightedDegree' w d = m) : IsWeightedHomogeneous w (monomial d r) m := by
   classical
-    intro c hc
-    rw [coeff_monomial] at hc 
-    split_ifs  at hc  with h
-    · subst c; exact hm
-    · contradiction
+  intro c hc
+  rw [coeff_monomial] at hc 
+  split_ifs at hc  with h
+  · subst c; exact hm
+  · contradiction
 #align mv_polynomial.is_weighted_homogeneous_monomial MvPolynomial.isWeightedHomogeneous_monomial
 
 /-- A polynomial of weighted_total_degree `⊥` is weighted_homogeneous of degree `⊥`. -/
@@ -303,13 +303,13 @@ theorem prod {ι : Type _} (s : Finset ι) (φ : ι → MvPolynomial σ R) (n :
       IsWeightedHomogeneous w (∏ i in s, φ i) (∑ i in s, n i) :=
   by
   classical
-    apply Finset.induction_on s
-    · intro; simp only [is_weighted_homogeneous_one, Finset.sum_empty, Finset.prod_empty]
-    · intro i s his IH h
-      simp only [his, Finset.prod_insert, Finset.sum_insert, not_false_iff]
-      apply (h i (Finset.mem_insert_self _ _)).mul (IH _)
-      intro j hjs
-      exact h j (Finset.mem_insert_of_mem hjs)
+  apply Finset.induction_on s
+  · intro; simp only [is_weighted_homogeneous_one, Finset.sum_empty, Finset.prod_empty]
+  · intro i s his IH h
+    simp only [his, Finset.prod_insert, Finset.sum_insert, not_false_iff]
+    apply (h i (Finset.mem_insert_self _ _)).mul (IH _)
+    intro j hjs
+    exact h j (Finset.mem_insert_of_mem hjs)
 #align mv_polynomial.is_weighted_homogeneous.prod MvPolynomial.IsWeightedHomogeneous.prod
 
 /-- A non zero weighted homogeneous polynomial of weighted degree `n` has weighted total degree
@@ -347,7 +347,7 @@ variable {R}
   See `sum_weighted_homogeneous_component` for the statement that `φ` is equal to the sum
   of all its weighted homogeneous components. -/
 def weightedHomogeneousComponent (w : σ → M) (n : M) : MvPolynomial σ R →ₗ[R] MvPolynomial σ R :=
-  (Submodule.subtype _).comp <| Finsupp.restrictDom _ _ { d | weightedDegree' w d = n }
+  (Submodule.subtype _).comp <| Finsupp.restrictDom _ _ {d | weightedDegree' w d = n}
 #align mv_polynomial.weighted_homogeneous_component MvPolynomial.weightedHomogeneousComponent
 -/
 
@@ -372,9 +372,9 @@ weighted degree `n`. -/
 theorem weightedHomogeneousComponent_isWeightedHomogeneous :
     (weightedHomogeneousComponent w n φ).IsWeightedHomogeneous w n := by
   classical
-    intro d hd
-    contrapose! hd
-    rw [coeff_weighted_homogeneous_component, if_neg hd]
+  intro d hd
+  contrapose! hd
+  rw [coeff_weighted_homogeneous_component, if_neg hd]
 #align mv_polynomial.weighted_homogeneous_component_is_weighted_homogeneous MvPolynomial.weightedHomogeneousComponent_isWeightedHomogeneous
 
 @[simp]
@@ -387,23 +387,23 @@ theorem weightedHomogeneousComponent_eq_zero'
     (h : ∀ d : σ →₀ ℕ, d ∈ φ.support → weightedDegree' w d ≠ n) :
     weightedHomogeneousComponent w n φ = 0 := by
   classical
-    rw [weighted_homogeneous_component_apply, sum_eq_zero]
-    intro d hd
-    rw [mem_filter] at hd 
-    exfalso
-    exact h _ hd.1 hd.2
+  rw [weighted_homogeneous_component_apply, sum_eq_zero]
+  intro d hd
+  rw [mem_filter] at hd 
+  exfalso
+  exact h _ hd.1 hd.2
 #align mv_polynomial.weighted_homogeneous_component_eq_zero' MvPolynomial.weightedHomogeneousComponent_eq_zero'
 
 theorem weightedHomogeneousComponent_eq_zero [SemilatticeSup M] [OrderBot M]
     (h : weightedTotalDegree w φ < n) : weightedHomogeneousComponent w n φ = 0 := by
   classical
-    rw [weighted_homogeneous_component_apply, sum_eq_zero]
-    intro d hd
-    rw [mem_filter] at hd 
-    exfalso
-    apply lt_irrefl n
-    nth_rw 1 [← hd.2]
-    exact lt_of_le_of_lt (le_weighted_total_degree w hd.1) h
+  rw [weighted_homogeneous_component_apply, sum_eq_zero]
+  intro d hd
+  rw [mem_filter] at hd 
+  exfalso
+  apply lt_irrefl n
+  nth_rw 1 [← hd.2]
+  exact lt_of_le_of_lt (le_weighted_total_degree w hd.1) h
 #align mv_polynomial.weighted_homogeneous_component_eq_zero MvPolynomial.weightedHomogeneousComponent_eq_zero
 
 theorem weightedHomogeneousComponent_finsupp :
@@ -427,17 +427,17 @@ variable (w)
 theorem sum_weightedHomogeneousComponent :
     (finsum fun m => weightedHomogeneousComponent w m φ) = φ := by
   classical
-    rw [finsum_eq_sum _ (weighted_homogeneous_component_finsupp φ)]
-    ext1 d
-    simp only [coeff_sum, coeff_weighted_homogeneous_component]
-    rw [Finset.sum_eq_single (weighted_degree' w d)]
-    · rw [if_pos rfl]
-    · intro m hm hm'; rw [if_neg hm'.symm]
-    · intro hm; rw [if_pos rfl]
-      simp only [finite.mem_to_finset, mem_support, Ne.def, Classical.not_not] at hm 
-      have := coeff_weighted_homogeneous_component (_ : M) φ d
-      rw [hm, if_pos rfl, coeff_zero] at this 
-      exact this.symm
+  rw [finsum_eq_sum _ (weighted_homogeneous_component_finsupp φ)]
+  ext1 d
+  simp only [coeff_sum, coeff_weighted_homogeneous_component]
+  rw [Finset.sum_eq_single (weighted_degree' w d)]
+  · rw [if_pos rfl]
+  · intro m hm hm'; rw [if_neg hm'.symm]
+  · intro hm; rw [if_pos rfl]
+    simp only [finite.mem_to_finset, mem_support, Ne.def, Classical.not_not] at hm 
+    have := coeff_weighted_homogeneous_component (_ : M) φ d
+    rw [hm, if_pos rfl, coeff_zero] at this 
+    exact this.symm
 #align mv_polynomial.sum_weighted_homogeneous_component MvPolynomial.sum_weightedHomogeneousComponent
 
 variable {w}
@@ -474,16 +474,16 @@ variable [CanonicallyOrderedAddMonoid M] {w : σ → M} (φ : MvPolynomial σ R)
 theorem weightedHomogeneousComponent_zero [NoZeroSMulDivisors ℕ M] (hw : ∀ i : σ, w i ≠ 0) :
     weightedHomogeneousComponent w 0 φ = C (coeff 0 φ) := by
   classical
-    ext1 d
-    rcases em (d = 0) with (rfl | hd)
-    · simp only [coeff_weighted_homogeneous_component, if_pos, map_zero, coeff_zero_C]
-    · rw [coeff_weighted_homogeneous_component, if_neg, coeff_C, if_neg (Ne.symm hd)]
-      simp only [weighted_degree', LinearMap.toAddMonoidHom_coe, Finsupp.total_apply, Finsupp.sum,
-        sum_eq_zero_iff, Finsupp.mem_support_iff, Ne.def, smul_eq_zero, not_forall, not_or,
-        and_self_left, exists_prop]
-      simp only [Finsupp.ext_iff, Finsupp.coe_zero, Pi.zero_apply, not_forall] at hd 
-      obtain ⟨i, hi⟩ := hd
-      exact ⟨i, hi, hw i⟩
+  ext1 d
+  rcases em (d = 0) with (rfl | hd)
+  · simp only [coeff_weighted_homogeneous_component, if_pos, map_zero, coeff_zero_C]
+  · rw [coeff_weighted_homogeneous_component, if_neg, coeff_C, if_neg (Ne.symm hd)]
+    simp only [weighted_degree', LinearMap.toAddMonoidHom_coe, Finsupp.total_apply, Finsupp.sum,
+      sum_eq_zero_iff, Finsupp.mem_support_iff, Ne.def, smul_eq_zero, not_forall, not_or,
+      and_self_left, exists_prop]
+    simp only [Finsupp.ext_iff, Finsupp.coe_zero, Pi.zero_apply, not_forall] at hd 
+    obtain ⟨i, hi⟩ := hd
+    exact ⟨i, hi, hw i⟩
 #align mv_polynomial.weighted_homogeneous_component_zero MvPolynomial.weightedHomogeneousComponent_zero
 
 end CanonicallyOrderedAddMonoid

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

@@ -115,7 +115,7 @@ def weightedTotalDegree (w : σ → M) (p : MvPolynomial σ R) : M :=
 theorem weightedTotalDegree_coe (w : σ → M) (p : MvPolynomial σ R) (hp : p ≠ 0) :
     weightedTotalDegree' w p = ↑(weightedTotalDegree w p) :=
   by
-  rw [Ne.def, ← weighted_total_degree'_eq_bot_iff w p, ← Ne.def, WithBot.ne_bot_iff_exists] at hp
+  rw [Ne.def, ← weighted_total_degree'_eq_bot_iff w p, ← Ne.def, WithBot.ne_bot_iff_exists] at hp 
   obtain ⟨m, hm⟩ := hp
   apply le_antisymm
   · simp only [weighted_total_degree, weighted_total_degree', Finset.sup_le_iff, WithBot.coe_le_coe]
@@ -157,11 +157,11 @@ def weightedHomogeneousSubmodule (w : σ → M) (m : M) : Submodule R (MvPolynom
     where
   carrier := { x | x.IsWeightedHomogeneous w m }
   smul_mem' r a ha c hc := by
-    rw [coeff_smul] at hc
+    rw [coeff_smul] at hc 
     exact ha (right_ne_zero_of_mul hc)
   zero_mem' d hd := False.elim (hd <| coeff_zero _)
   add_mem' a b ha hb c hc := by
-    rw [coeff_add] at hc
+    rw [coeff_add] at hc 
     obtain h | h : coeff c a ≠ 0 ∨ coeff c b ≠ 0 := by contrapose! hc; simp only [hc, add_zero]
     · exact ha h
     · exact hb h
@@ -198,7 +198,7 @@ theorem weightedHomogeneousSubmodule_mul (w : σ → M) (m n : M) :
   by
   rw [Submodule.mul_le]
   intro φ hφ ψ hψ c hc
-  rw [coeff_mul] at hc
+  rw [coeff_mul] at hc 
   obtain ⟨⟨d, e⟩, hde, H⟩ := Finset.exists_ne_zero_of_sum_ne_zero hc
   have aux : coeff d φ ≠ 0 ∧ coeff e ψ ≠ 0 :=
     by
@@ -213,8 +213,8 @@ theorem isWeightedHomogeneous_monomial (w : σ → M) (d : σ →₀ ℕ) (r : R
     (hm : weightedDegree' w d = m) : IsWeightedHomogeneous w (monomial d r) m := by
   classical
     intro c hc
-    rw [coeff_monomial] at hc
-    split_ifs  at hc with h
+    rw [coeff_monomial] at hc 
+    split_ifs  at hc  with h
     · subst c; exact hm
     · contradiction
 #align mv_polynomial.is_weighted_homogeneous_monomial MvPolynomial.isWeightedHomogeneous_monomial
@@ -225,7 +225,7 @@ theorem isWeightedHomogeneous_of_total_degree_zero [SemilatticeSup M] [OrderBot
     IsWeightedHomogeneous w p (⊥ : M) := by
   intro d hd
   have h := weighted_total_degree_coe w p (mv_polynomial.ne_zero_iff.mpr ⟨d, hd⟩)
-  simp only [weighted_total_degree', hp] at h
+  simp only [weighted_total_degree', hp] at h 
   rw [eq_bot_iff, ← WithBot.coe_le_coe, ← h]
   exact Finset.le_sup (mem_support_iff.mpr hd)
 #align mv_polynomial.is_weighted_homogeneous_of_total_degree_zero MvPolynomial.isWeightedHomogeneous_of_total_degree_zero
@@ -264,7 +264,7 @@ variable {R} {φ ψ : MvPolynomial σ R} {m n : M}
 /-- The weighted degree of a weighted homogeneous polynomial controls its support. -/
 theorem coeff_eq_zero {w : σ → M} (hφ : IsWeightedHomogeneous w φ n) (d : σ →₀ ℕ)
     (hd : weightedDegree' w d ≠ n) : coeff d φ = 0 := by have aux := mt (@hφ d) hd;
-  rwa [Classical.not_not] at aux
+  rwa [Classical.not_not] at aux 
 #align mv_polynomial.is_weighted_homogeneous.coeff_eq_zero MvPolynomial.IsWeightedHomogeneous.coeff_eq_zero
 
 /-- The weighted degree of a nonzero weighted homogeneous polynomial is well-defined. -/
@@ -304,7 +304,7 @@ theorem prod {ι : Type _} (s : Finset ι) (φ : ι → MvPolynomial σ R) (n :
   by
   classical
     apply Finset.induction_on s
-    · intro ; simp only [is_weighted_homogeneous_one, Finset.sum_empty, Finset.prod_empty]
+    · intro; simp only [is_weighted_homogeneous_one, Finset.sum_empty, Finset.prod_empty]
     · intro i s his IH h
       simp only [his, Finset.prod_insert, Finset.sum_insert, not_false_iff]
       apply (h i (Finset.mem_insert_self _ _)).mul (IH _)
@@ -389,7 +389,7 @@ theorem weightedHomogeneousComponent_eq_zero'
   classical
     rw [weighted_homogeneous_component_apply, sum_eq_zero]
     intro d hd
-    rw [mem_filter] at hd
+    rw [mem_filter] at hd 
     exfalso
     exact h _ hd.1 hd.2
 #align mv_polynomial.weighted_homogeneous_component_eq_zero' MvPolynomial.weightedHomogeneousComponent_eq_zero'
@@ -399,7 +399,7 @@ theorem weightedHomogeneousComponent_eq_zero [SemilatticeSup M] [OrderBot M]
   classical
     rw [weighted_homogeneous_component_apply, sum_eq_zero]
     intro d hd
-    rw [mem_filter] at hd
+    rw [mem_filter] at hd 
     exfalso
     apply lt_irrefl n
     nth_rw 1 [← hd.2]
@@ -416,8 +416,8 @@ theorem weightedHomogeneousComponent_finsupp :
     exact finite.subset ((fun d : σ →₀ ℕ => (weighted_degree' w) d) '' ↑(support φ)).toFinite this
   intro m hm
   by_contra hm'; apply hm
-  simp only [mem_support, Ne.def] at hm
-  simp only [Set.mem_image, not_exists, not_and] at hm'
+  simp only [mem_support, Ne.def] at hm 
+  simp only [Set.mem_image, not_exists, not_and] at hm' 
   exact weighted_homogeneous_component_eq_zero' m φ hm'
 #align mv_polynomial.weighted_homogeneous_component_finsupp MvPolynomial.weightedHomogeneousComponent_finsupp
 
@@ -434,9 +434,9 @@ theorem sum_weightedHomogeneousComponent :
     · rw [if_pos rfl]
     · intro m hm hm'; rw [if_neg hm'.symm]
     · intro hm; rw [if_pos rfl]
-      simp only [finite.mem_to_finset, mem_support, Ne.def, Classical.not_not] at hm
+      simp only [finite.mem_to_finset, mem_support, Ne.def, Classical.not_not] at hm 
       have := coeff_weighted_homogeneous_component (_ : M) φ d
-      rw [hm, if_pos rfl, coeff_zero] at this
+      rw [hm, if_pos rfl, coeff_zero] at this 
       exact this.symm
 #align mv_polynomial.sum_weighted_homogeneous_component MvPolynomial.sum_weightedHomogeneousComponent
 
@@ -447,7 +447,7 @@ theorem weightedHomogeneousComponent_weighted_homogeneous_polynomial [DecidableE
     (p : MvPolynomial σ R) (h : p ∈ weightedHomogeneousSubmodule R w n) :
     weightedHomogeneousComponent w m p = if m = n then p else 0 :=
   by
-  simp only [mem_weighted_homogeneous_submodule] at h
+  simp only [mem_weighted_homogeneous_submodule] at h 
   ext x
   rw [coeff_weighted_homogeneous_component]
   by_cases zero_coeff : coeff x p = 0
@@ -481,7 +481,7 @@ theorem weightedHomogeneousComponent_zero [NoZeroSMulDivisors ℕ M] (hw : ∀ i
       simp only [weighted_degree', LinearMap.toAddMonoidHom_coe, Finsupp.total_apply, Finsupp.sum,
         sum_eq_zero_iff, Finsupp.mem_support_iff, Ne.def, smul_eq_zero, not_forall, not_or,
         and_self_left, exists_prop]
-      simp only [Finsupp.ext_iff, Finsupp.coe_zero, Pi.zero_apply, not_forall] at hd
+      simp only [Finsupp.ext_iff, Finsupp.coe_zero, Pi.zero_apply, not_forall] at hd 
       obtain ⟨i, hi⟩ := hd
       exact ⟨i, hi, hw i⟩
 #align mv_polynomial.weighted_homogeneous_component_zero MvPolynomial.weightedHomogeneousComponent_zero

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

@@ -49,7 +49,7 @@ components.
 
 noncomputable section
 
-open BigOperators
+open scoped BigOperators
 
 open Set Function Finset Finsupp AddMonoidAlgebra
 
@@ -103,11 +103,13 @@ section OrderBot
 
 variable [OrderBot M]
 
+#print MvPolynomial.weightedTotalDegree /-
 /-- When `M` has a `⊥` element, we can define the weighted total degree of a multivariate
   polynomial as a function taking values in `M`. -/
 def weightedTotalDegree (w : σ → M) (p : MvPolynomial σ R) : M :=
   p.support.sup fun s => weightedDegree' w s
 #align mv_polynomial.weighted_total_degree MvPolynomial.weightedTotalDegree
+-/
 
 /-- This lemma relates `weighted_total_degree` and `weighted_total_degree'`. -/
 theorem weightedTotalDegree_coe (w : σ → M) (p : MvPolynomial σ R) (hp : p ≠ 0) :

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

@@ -85,12 +85,6 @@ def weightedTotalDegree' (w : σ → M) (p : MvPolynomial σ R) : WithBot M :=
 #align mv_polynomial.weighted_total_degree' MvPolynomial.weightedTotalDegree'
 -/
 
-/- warning: mv_polynomial.weighted_total_degree'_eq_bot_iff -> MvPolynomial.weightedTotalDegree'_eq_bot_iff is a dubious translation:
-lean 3 declaration is
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 /-- The `weighted_total_degree'` of a polynomial `p` is `⊥` if and only if `p = 0`. -/
 theorem weightedTotalDegree'_eq_bot_iff (w : σ → M) (p : MvPolynomial σ R) :
     weightedTotalDegree' w p = ⊥ ↔ p = 0 :=
@@ -100,12 +94,6 @@ theorem weightedTotalDegree'_eq_bot_iff (w : σ → M) (p : MvPolynomial σ R) :
   exact forall_congr' fun _ => Classical.not_not
 #align mv_polynomial.weighted_total_degree'_eq_bot_iff MvPolynomial.weightedTotalDegree'_eq_bot_iff
 
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 /-- The `weighted_total_degree'` of the zero polynomial is `⊥`. -/
 theorem weightedTotalDegree'_zero (w : σ → M) : weightedTotalDegree' w (0 : MvPolynomial σ R) = ⊥ :=
   by simp only [weighted_total_degree', support_zero, Finset.sup_empty]
@@ -115,24 +103,12 @@ section OrderBot
 
 variable [OrderBot M]
 
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 /-- When `M` has a `⊥` element, we can define the weighted total degree of a multivariate
   polynomial as a function taking values in `M`. -/
 def weightedTotalDegree (w : σ → M) (p : MvPolynomial σ R) : M :=
   p.support.sup fun s => weightedDegree' w s
 #align mv_polynomial.weighted_total_degree MvPolynomial.weightedTotalDegree
 
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 /-- This lemma relates `weighted_total_degree` and `weighted_total_degree'`. -/
 theorem weightedTotalDegree_coe (w : σ → M) (p : MvPolynomial σ R) (hp : p ≠ 0) :
     weightedTotalDegree' w p = ↑(weightedTotalDegree w p) :=
@@ -149,23 +125,11 @@ theorem weightedTotalDegree_coe (w : σ → M) (p : MvPolynomial σ R) (hp : p 
     simpa [weighted_total_degree'] using hm'
 #align mv_polynomial.weighted_total_degree_coe MvPolynomial.weightedTotalDegree_coe
 
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 /-- The `weighted_total_degree` of the zero polynomial is `⊥`. -/
 theorem weightedTotalDegree_zero (w : σ → M) : weightedTotalDegree w (0 : MvPolynomial σ R) = ⊥ :=
   by simp only [weighted_total_degree, support_zero, Finset.sup_empty]
 #align mv_polynomial.weighted_total_degree_zero MvPolynomial.weightedTotalDegree_zero
 
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-Case conversion may be inaccurate. Consider using '#align mv_polynomial.le_weighted_total_degree MvPolynomial.le_weightedTotalDegreeₓ'. -/
 theorem le_weightedTotalDegree (w : σ → M) {φ : MvPolynomial σ R} {d : σ →₀ ℕ}
     (hd : d ∈ φ.support) : weightedDegree' w d ≤ φ.weightedTotalDegree w :=
   le_sup hd
@@ -202,12 +166,6 @@ def weightedHomogeneousSubmodule (w : σ → M) (m : M) : Submodule R (MvPolynom
 #align mv_polynomial.weighted_homogeneous_submodule MvPolynomial.weightedHomogeneousSubmodule
 -/
 
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 @[simp]
 theorem mem_weightedHomogeneousSubmodule (w : σ → M) (m : M) (p : MvPolynomial σ R) :
     p ∈ weightedHomogeneousSubmodule R w m ↔ p.IsWeightedHomogeneous w m :=
@@ -216,12 +174,6 @@ theorem mem_weightedHomogeneousSubmodule (w : σ → M) (m : M) (p : MvPolynomia
 
 variable (R)
 
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-Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_homogeneous_submodule_eq_finsupp_supported MvPolynomial.weightedHomogeneousSubmodule_eq_finsupp_supportedₓ'. -/
 /-- The submodule ` weighted_homogeneous_submodule R w m` of homogeneous `mv_polynomial`s of
   degree `n` is equal to the `R`-submodule of all `p : (σ →₀ ℕ) →₀ R` such that
   `p.support ⊆ {d | weighted_degree' w d = m}`. While equal, the former has a
@@ -236,9 +188,6 @@ theorem weightedHomogeneousSubmodule_eq_finsupp_supported (w : σ → M) (m : M)
 
 variable {R}
 
-/- warning: mv_polynomial.weighted_homogeneous_submodule_mul -> MvPolynomial.weightedHomogeneousSubmodule_mul is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_homogeneous_submodule_mul MvPolynomial.weightedHomogeneousSubmodule_mulₓ'. -/
 /-- The submodule generated by products `Pm *Pn` of weighted homogeneous polynomials of degrees `m`
   and `n` is contained in the submodule of weighted homogeneous polynomials of degree `m + n`. -/
 theorem weightedHomogeneousSubmodule_mul (w : σ → M) (m n : M) :
@@ -257,12 +206,6 @@ theorem weightedHomogeneousSubmodule_mul (w : σ → M) (m n : M) :
   rw [← finsupp.mem_antidiagonal.mp hde, ← hφ aux.1, ← hψ aux.2, map_add]
 #align mv_polynomial.weighted_homogeneous_submodule_mul MvPolynomial.weightedHomogeneousSubmodule_mul
 
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 /-- Monomials are weighted homogeneous. -/
 theorem isWeightedHomogeneous_monomial (w : σ → M) (d : σ →₀ ℕ) (r : R) {m : M}
     (hm : weightedDegree' w d = m) : IsWeightedHomogeneous w (monomial d r) m := by
@@ -274,12 +217,6 @@ theorem isWeightedHomogeneous_monomial (w : σ → M) (d : σ →₀ ℕ) (r : R
     · contradiction
 #align mv_polynomial.is_weighted_homogeneous_monomial MvPolynomial.isWeightedHomogeneous_monomial
 
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 /-- A polynomial of weighted_total_degree `⊥` is weighted_homogeneous of degree `⊥`. -/
 theorem isWeightedHomogeneous_of_total_degree_zero [SemilatticeSup M] [OrderBot M] (w : σ → M)
     {p : MvPolynomial σ R} (hp : weightedTotalDegree w p = (⊥ : M)) :
@@ -291,12 +228,6 @@ theorem isWeightedHomogeneous_of_total_degree_zero [SemilatticeSup M] [OrderBot
   exact Finset.le_sup (mem_support_iff.mpr hd)
 #align mv_polynomial.is_weighted_homogeneous_of_total_degree_zero MvPolynomial.isWeightedHomogeneous_of_total_degree_zero
 
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 /-- Constant polynomials are weighted homogeneous of degree 0. -/
 theorem isWeightedHomogeneous_C (w : σ → M) (r : R) :
     IsWeightedHomogeneous w (C r : MvPolynomial σ R) 0 :=
@@ -305,35 +236,17 @@ theorem isWeightedHomogeneous_C (w : σ → M) (r : R) :
 
 variable (R)
 
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 /-- 0 is weighted homogeneous of any degree. -/
 theorem isWeightedHomogeneous_zero (w : σ → M) (m : M) :
     IsWeightedHomogeneous w (0 : MvPolynomial σ R) m :=
   (weightedHomogeneousSubmodule R w m).zero_mem
 #align mv_polynomial.is_weighted_homogeneous_zero MvPolynomial.isWeightedHomogeneous_zero
 
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 /-- 1 is weighted homogeneous of degree 0. -/
 theorem isWeightedHomogeneous_one (w : σ → M) : IsWeightedHomogeneous w (1 : MvPolynomial σ R) 0 :=
   isWeightedHomogeneous_C _ _
 #align mv_polynomial.is_weighted_homogeneous_one MvPolynomial.isWeightedHomogeneous_one
 
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 /-- An indeterminate `i : σ` is weighted homogeneous of degree `w i`. -/
 theorem isWeightedHomogeneous_X (w : σ → M) (i : σ) :
     IsWeightedHomogeneous w (X i : MvPolynomial σ R) (w i) :=
@@ -346,24 +259,12 @@ namespace IsWeightedHomogeneous
 
 variable {R} {φ ψ : MvPolynomial σ R} {m n : M}
 
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 /-- The weighted degree of a weighted homogeneous polynomial controls its support. -/
 theorem coeff_eq_zero {w : σ → M} (hφ : IsWeightedHomogeneous w φ n) (d : σ →₀ ℕ)
     (hd : weightedDegree' w d ≠ n) : coeff d φ = 0 := by have aux := mt (@hφ d) hd;
   rwa [Classical.not_not] at aux
 #align mv_polynomial.is_weighted_homogeneous.coeff_eq_zero MvPolynomial.IsWeightedHomogeneous.coeff_eq_zero
 
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 /-- The weighted degree of a nonzero weighted homogeneous polynomial is well-defined. -/
 theorem inj_right {w : σ → M} (hφ : φ ≠ 0) (hm : IsWeightedHomogeneous w φ m)
     (hn : IsWeightedHomogeneous w φ n) : m = n :=
@@ -372,12 +273,6 @@ theorem inj_right {w : σ → M} (hφ : φ ≠ 0) (hm : IsWeightedHomogeneous w
   rw [← hm hd, ← hn hd]
 #align mv_polynomial.is_weighted_homogeneous.inj_right MvPolynomial.IsWeightedHomogeneous.inj_right
 
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 /-- The sum of two weighted homogeneous polynomials of degree `n` is weighted homogeneous of
   weighted degree `n`. -/
 theorem add {w : σ → M} (hφ : IsWeightedHomogeneous w φ n) (hψ : IsWeightedHomogeneous w ψ n) :
@@ -385,12 +280,6 @@ theorem add {w : σ → M} (hφ : IsWeightedHomogeneous w φ n) (hψ : IsWeighte
   (weightedHomogeneousSubmodule R w n).add_mem hφ hψ
 #align mv_polynomial.is_weighted_homogeneous.add MvPolynomial.IsWeightedHomogeneous.add
 
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 /-- The sum of weighted homogeneous polynomials of degree `n` is weighted homogeneous of
   weighted degree `n`. -/
 theorem sum {ι : Type _} (s : Finset ι) (φ : ι → MvPolynomial σ R) (n : M) {w : σ → M}
@@ -398,12 +287,6 @@ theorem sum {ι : Type _} (s : Finset ι) (φ : ι → MvPolynomial σ R) (n : M
   (weightedHomogeneousSubmodule R w n).sum_mem h
 #align mv_polynomial.is_weighted_homogeneous.sum MvPolynomial.IsWeightedHomogeneous.sum
 
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 /-- The product of weighted homogeneous polynomials of weighted degrees `m` and `n` is weighted
   homogeneous of weighted degree `m + n`. -/
 theorem mul {w : σ → M} (hφ : IsWeightedHomogeneous w φ m) (hψ : IsWeightedHomogeneous w ψ n) :
@@ -411,12 +294,6 @@ theorem mul {w : σ → M} (hφ : IsWeightedHomogeneous w φ m) (hψ : IsWeighte
   weightedHomogeneousSubmodule_mul w m n <| Submodule.mul_mem_mul hφ hψ
 #align mv_polynomial.is_weighted_homogeneous.mul MvPolynomial.IsWeightedHomogeneous.mul
 
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 /-- A product of weighted homogeneous polynomials is weighted homogeneous, with weighted degree
   equal to the sum of the weighted degrees. -/
 theorem prod {ι : Type _} (s : Finset ι) (φ : ι → MvPolynomial σ R) (n : ι → M) {w : σ → M} :
@@ -433,12 +310,6 @@ theorem prod {ι : Type _} (s : Finset ι) (φ : ι → MvPolynomial σ R) (n :
       exact h j (Finset.mem_insert_of_mem hjs)
 #align mv_polynomial.is_weighted_homogeneous.prod MvPolynomial.IsWeightedHomogeneous.prod
 
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 /-- A non zero weighted homogeneous polynomial of weighted degree `n` has weighted total degree
   `n`. -/
 theorem weighted_total_degree [SemilatticeSup M] {w : σ → M} (hφ : IsWeightedHomogeneous w φ n)
@@ -482,30 +353,18 @@ section WeightedHomogeneousComponent
 
 variable {w : σ → M} (n : M) (φ ψ : MvPolynomial σ R)
 
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 theorem coeff_weightedHomogeneousComponent [DecidableEq M] (d : σ →₀ ℕ) :
     coeff d (weightedHomogeneousComponent w n φ) =
       if weightedDegree' w d = n then coeff d φ else 0 :=
   Finsupp.filter_apply (fun d : σ →₀ ℕ => weightedDegree' w d = n) φ d
 #align mv_polynomial.coeff_weighted_homogeneous_component MvPolynomial.coeff_weightedHomogeneousComponent
 
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 theorem weightedHomogeneousComponent_apply [DecidableEq M] :
     weightedHomogeneousComponent w n φ =
       ∑ d in φ.support.filterₓ fun d => weightedDegree' w d = n, monomial d (coeff d φ) :=
   Finsupp.filter_eq_sum (fun d : σ →₀ ℕ => weightedDegree' w d = n) φ
 #align mv_polynomial.weighted_homogeneous_component_apply MvPolynomial.weightedHomogeneousComponent_apply
 
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 /-- The `n` weighted homogeneous component of a polynomial is weighted homogeneous of
 weighted degree `n`. -/
 theorem weightedHomogeneousComponent_isWeightedHomogeneous :
@@ -516,18 +375,12 @@ theorem weightedHomogeneousComponent_isWeightedHomogeneous :
     rw [coeff_weighted_homogeneous_component, if_neg hd]
 #align mv_polynomial.weighted_homogeneous_component_is_weighted_homogeneous MvPolynomial.weightedHomogeneousComponent_isWeightedHomogeneous
 
-/- warning: mv_polynomial.weighted_homogeneous_component_C_mul -> MvPolynomial.weightedHomogeneousComponent_C_mul is a dubious translation:
-<too large>
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 @[simp]
 theorem weightedHomogeneousComponent_C_mul (n : M) (r : R) :
     weightedHomogeneousComponent w n (C r * φ) = C r * weightedHomogeneousComponent w n φ := by
   simp only [C_mul', LinearMap.map_smul]
 #align mv_polynomial.weighted_homogeneous_component_C_mul MvPolynomial.weightedHomogeneousComponent_C_mul
 
-/- warning: mv_polynomial.weighted_homogeneous_component_eq_zero' -> MvPolynomial.weightedHomogeneousComponent_eq_zero' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_homogeneous_component_eq_zero' MvPolynomial.weightedHomogeneousComponent_eq_zero'ₓ'. -/
 theorem weightedHomogeneousComponent_eq_zero'
     (h : ∀ d : σ →₀ ℕ, d ∈ φ.support → weightedDegree' w d ≠ n) :
     weightedHomogeneousComponent w n φ = 0 := by
@@ -539,9 +392,6 @@ theorem weightedHomogeneousComponent_eq_zero'
     exact h _ hd.1 hd.2
 #align mv_polynomial.weighted_homogeneous_component_eq_zero' MvPolynomial.weightedHomogeneousComponent_eq_zero'
 
-/- warning: mv_polynomial.weighted_homogeneous_component_eq_zero -> MvPolynomial.weightedHomogeneousComponent_eq_zero is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_homogeneous_component_eq_zero MvPolynomial.weightedHomogeneousComponent_eq_zeroₓ'. -/
 theorem weightedHomogeneousComponent_eq_zero [SemilatticeSup M] [OrderBot M]
     (h : weightedTotalDegree w φ < n) : weightedHomogeneousComponent w n φ = 0 := by
   classical
@@ -554,12 +404,6 @@ theorem weightedHomogeneousComponent_eq_zero [SemilatticeSup M] [OrderBot M]
     exact lt_of_le_of_lt (le_weighted_total_degree w hd.1) h
 #align mv_polynomial.weighted_homogeneous_component_eq_zero MvPolynomial.weightedHomogeneousComponent_eq_zero
 
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-Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_homogeneous_component_finsupp MvPolynomial.weightedHomogeneousComponent_finsuppₓ'. -/
 theorem weightedHomogeneousComponent_finsupp :
     (Function.support fun m => weightedHomogeneousComponent w m φ).Finite :=
   by
@@ -577,12 +421,6 @@ theorem weightedHomogeneousComponent_finsupp :
 
 variable (w)
 
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-Case conversion may be inaccurate. Consider using '#align mv_polynomial.sum_weighted_homogeneous_component MvPolynomial.sum_weightedHomogeneousComponentₓ'. -/
 /-- Every polynomial is the sum of its weighted homogeneous components. -/
 theorem sum_weightedHomogeneousComponent :
     (finsum fun m => weightedHomogeneousComponent w m φ) = φ := by
@@ -602,9 +440,6 @@ theorem sum_weightedHomogeneousComponent :
 
 variable {w}
 
-/- warning: mv_polynomial.weighted_homogeneous_component_weighted_homogeneous_polynomial -> MvPolynomial.weightedHomogeneousComponent_weighted_homogeneous_polynomial is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_homogeneous_component_weighted_homogeneous_polynomial MvPolynomial.weightedHomogeneousComponent_weighted_homogeneous_polynomialₓ'. -/
 /-- The weighted homogeneous components of a weighted homogeneous polynomial. -/
 theorem weightedHomogeneousComponent_weighted_homogeneous_polynomial [DecidableEq M] (m n : M)
     (p : MvPolynomial σ R) (h : p ∈ weightedHomogeneousSubmodule R w n) :
@@ -631,9 +466,6 @@ section CanonicallyOrderedAddMonoid
 
 variable [CanonicallyOrderedAddMonoid M] {w : σ → M} (φ : MvPolynomial σ R)
 
-/- warning: mv_polynomial.weighted_homogeneous_component_zero -> MvPolynomial.weightedHomogeneousComponent_zero is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_homogeneous_component_zero MvPolynomial.weightedHomogeneousComponent_zeroₓ'. -/
 /-- If `M` is a `canonically_ordered_add_monoid`, then the `weighted_homogeneous_component`
   of weighted degree `0` of a polynomial is its constant coefficient. -/
 @[simp]

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

@@ -196,10 +196,7 @@ def weightedHomogeneousSubmodule (w : σ → M) (m : M) : Submodule R (MvPolynom
   zero_mem' d hd := False.elim (hd <| coeff_zero _)
   add_mem' a b ha hb c hc := by
     rw [coeff_add] at hc
-    obtain h | h : coeff c a ≠ 0 ∨ coeff c b ≠ 0 :=
-      by
-      contrapose! hc
-      simp only [hc, add_zero]
+    obtain h | h : coeff c a ≠ 0 ∨ coeff c b ≠ 0 := by contrapose! hc; simp only [hc, add_zero]
     · exact ha h
     · exact hb h
 #align mv_polynomial.weighted_homogeneous_submodule MvPolynomial.weightedHomogeneousSubmodule
@@ -273,8 +270,7 @@ theorem isWeightedHomogeneous_monomial (w : σ → M) (d : σ →₀ ℕ) (r : R
     intro c hc
     rw [coeff_monomial] at hc
     split_ifs  at hc with h
-    · subst c
-      exact hm
+    · subst c; exact hm
     · contradiction
 #align mv_polynomial.is_weighted_homogeneous_monomial MvPolynomial.isWeightedHomogeneous_monomial
 
@@ -358,9 +354,7 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.is_weighted_homogeneous.coeff_eq_zero MvPolynomial.IsWeightedHomogeneous.coeff_eq_zeroₓ'. -/
 /-- The weighted degree of a weighted homogeneous polynomial controls its support. -/
 theorem coeff_eq_zero {w : σ → M} (hφ : IsWeightedHomogeneous w φ n) (d : σ →₀ ℕ)
-    (hd : weightedDegree' w d ≠ n) : coeff d φ = 0 :=
-  by
-  have aux := mt (@hφ d) hd
+    (hd : weightedDegree' w d ≠ n) : coeff d φ = 0 := by have aux := mt (@hφ d) hd;
   rwa [Classical.not_not] at aux
 #align mv_polynomial.is_weighted_homogeneous.coeff_eq_zero MvPolynomial.IsWeightedHomogeneous.coeff_eq_zero
 
@@ -431,8 +425,7 @@ theorem prod {ι : Type _} (s : Finset ι) (φ : ι → MvPolynomial σ R) (n :
   by
   classical
     apply Finset.induction_on s
-    · intro
-      simp only [is_weighted_homogeneous_one, Finset.sum_empty, Finset.prod_empty]
+    · intro ; simp only [is_weighted_homogeneous_one, Finset.sum_empty, Finset.prod_empty]
     · intro i s his IH h
       simp only [his, Finset.prod_insert, Finset.sum_insert, not_false_iff]
       apply (h i (Finset.mem_insert_self _ _)).mul (IH _)
@@ -576,8 +569,7 @@ theorem weightedHomogeneousComponent_finsupp :
     by
     exact finite.subset ((fun d : σ →₀ ℕ => (weighted_degree' w) d) '' ↑(support φ)).toFinite this
   intro m hm
-  by_contra hm'
-  apply hm
+  by_contra hm'; apply hm
   simp only [mem_support, Ne.def] at hm
   simp only [Set.mem_image, not_exists, not_and] at hm'
   exact weighted_homogeneous_component_eq_zero' m φ hm'
@@ -600,10 +592,8 @@ theorem sum_weightedHomogeneousComponent :
     simp only [coeff_sum, coeff_weighted_homogeneous_component]
     rw [Finset.sum_eq_single (weighted_degree' w d)]
     · rw [if_pos rfl]
-    · intro m hm hm'
-      rw [if_neg hm'.symm]
-    · intro hm
-      rw [if_pos rfl]
+    · intro m hm hm'; rw [if_neg hm'.symm]
+    · intro hm; rw [if_pos rfl]
       simp only [finite.mem_to_finset, mem_support, Ne.def, Classical.not_not] at hm
       have := coeff_weighted_homogeneous_component (_ : M) φ d
       rw [hm, if_pos rfl, coeff_zero] at this

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

@@ -240,10 +240,7 @@ theorem weightedHomogeneousSubmodule_eq_finsupp_supported (w : σ → M) (m : M)
 variable {R}
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_homogeneous_submodule_mul MvPolynomial.weightedHomogeneousSubmodule_mulₓ'. -/
 /-- The submodule generated by products `Pm *Pn` of weighted homogeneous polynomials of degrees `m`
   and `n` is contained in the submodule of weighted homogeneous polynomials of degree `m + n`. -/
@@ -493,10 +490,7 @@ section WeightedHomogeneousComponent
 variable {w : σ → M} (n : M) (φ ψ : MvPolynomial σ R)
 
 /- warning: mv_polynomial.coeff_weighted_homogeneous_component -> MvPolynomial.coeff_weightedHomogeneousComponent is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_weighted_homogeneous_component MvPolynomial.coeff_weightedHomogeneousComponentₓ'. -/
 theorem coeff_weightedHomogeneousComponent [DecidableEq M] (d : σ →₀ ℕ) :
     coeff d (weightedHomogeneousComponent w n φ) =
@@ -505,10 +499,7 @@ theorem coeff_weightedHomogeneousComponent [DecidableEq M] (d : σ →₀ ℕ) :
 #align mv_polynomial.coeff_weighted_homogeneous_component MvPolynomial.coeff_weightedHomogeneousComponent
 
 /- warning: mv_polynomial.weighted_homogeneous_component_apply -> MvPolynomial.weightedHomogeneousComponent_apply is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_homogeneous_component_apply MvPolynomial.weightedHomogeneousComponent_applyₓ'. -/
 theorem weightedHomogeneousComponent_apply [DecidableEq M] :
     weightedHomogeneousComponent w n φ =
@@ -533,10 +524,7 @@ theorem weightedHomogeneousComponent_isWeightedHomogeneous :
 #align mv_polynomial.weighted_homogeneous_component_is_weighted_homogeneous MvPolynomial.weightedHomogeneousComponent_isWeightedHomogeneous
 
 /- warning: mv_polynomial.weighted_homogeneous_component_C_mul -> MvPolynomial.weightedHomogeneousComponent_C_mul is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_homogeneous_component_C_mul MvPolynomial.weightedHomogeneousComponent_C_mulₓ'. -/
 @[simp]
 theorem weightedHomogeneousComponent_C_mul (n : M) (r : R) :
@@ -545,10 +533,7 @@ theorem weightedHomogeneousComponent_C_mul (n : M) (r : R) :
 #align mv_polynomial.weighted_homogeneous_component_C_mul MvPolynomial.weightedHomogeneousComponent_C_mul
 
 /- warning: mv_polynomial.weighted_homogeneous_component_eq_zero' -> MvPolynomial.weightedHomogeneousComponent_eq_zero' is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_homogeneous_component_eq_zero' MvPolynomial.weightedHomogeneousComponent_eq_zero'ₓ'. -/
 theorem weightedHomogeneousComponent_eq_zero'
     (h : ∀ d : σ →₀ ℕ, d ∈ φ.support → weightedDegree' w d ≠ n) :
@@ -562,10 +547,7 @@ theorem weightedHomogeneousComponent_eq_zero'
 #align mv_polynomial.weighted_homogeneous_component_eq_zero' MvPolynomial.weightedHomogeneousComponent_eq_zero'
 
 /- warning: mv_polynomial.weighted_homogeneous_component_eq_zero -> MvPolynomial.weightedHomogeneousComponent_eq_zero is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_homogeneous_component_eq_zero MvPolynomial.weightedHomogeneousComponent_eq_zeroₓ'. -/
 theorem weightedHomogeneousComponent_eq_zero [SemilatticeSup M] [OrderBot M]
     (h : weightedTotalDegree w φ < n) : weightedHomogeneousComponent w n φ = 0 := by
@@ -631,10 +613,7 @@ theorem sum_weightedHomogeneousComponent :
 variable {w}
 
 /- warning: mv_polynomial.weighted_homogeneous_component_weighted_homogeneous_polynomial -> MvPolynomial.weightedHomogeneousComponent_weighted_homogeneous_polynomial is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_homogeneous_component_weighted_homogeneous_polynomial MvPolynomial.weightedHomogeneousComponent_weighted_homogeneous_polynomialₓ'. -/
 /-- The weighted homogeneous components of a weighted homogeneous polynomial. -/
 theorem weightedHomogeneousComponent_weighted_homogeneous_polynomial [DecidableEq M] (m n : M)
@@ -663,10 +642,7 @@ section CanonicallyOrderedAddMonoid
 variable [CanonicallyOrderedAddMonoid M] {w : σ → M} (φ : MvPolynomial σ R)
 
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(x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u2 u1, max u2 u1} 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))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _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))) (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)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} R R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _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))) (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.weightedHomogeneousComponent.{u2, u3, u1} R M _inst_1 σ (OrderedAddCommMonoid.toAddCommMonoid.{u3} M (CanonicallyOrderedAddMonoid.toOrderedAddCommMonoid.{u3} M _inst_2)) w (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (OrderedAddCommMonoid.toAddCommMonoid.{u3} M (CanonicallyOrderedAddMonoid.toOrderedAddCommMonoid.{u3} M _inst_2))))))) φ) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{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 u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{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 u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))) φ)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_homogeneous_component_zero MvPolynomial.weightedHomogeneousComponent_zeroₓ'. -/
 /-- If `M` is a `canonically_ordered_add_monoid`, then the `weighted_homogeneous_component`
   of weighted degree `0` of a polynomial is its constant coefficient. -/

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

@@ -267,7 +267,7 @@ theorem weightedHomogeneousSubmodule_mul (w : σ → M) (m n : M) :
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] (w : σ -> M) (d : Finsupp.{u3, 0} σ Nat Nat.hasZero) (r : R) {m : M}, (Eq.{succ u2} M (coeFn.{max (succ u2) (succ u3), max (succ u3) (succ u2)} (AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (fun (_x : AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) => (Finsupp.{u3, 0} σ Nat Nat.hasZero) -> M) (AddMonoidHom.hasCoeToFun.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MvPolynomial.weightedDegree'.{u2, u3} M σ _inst_2 w) d) m) -> (MvPolynomial.IsWeightedHomogeneous.{u1, u2, u3} R M _inst_1 σ _inst_2 w (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (LinearMap.{u1, u1, u1, max u3 u1} 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.{u3, 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 u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u3 u1} 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.{u3, 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 u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u3 u1} R R R (MvPolynomial.{u3, 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 u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} 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, u3} R σ _inst_1 d) r) m)
 but is expected to have type
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] (w : σ -> M) (d : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R) {m : M}, (Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) d) (FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u2} (AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (_x : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) _x) (AddHomClass.toFunLike.{max u2 u3, u3, u2} (AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (AddZeroClass.toAdd.{u3} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (AddMonoidHomClass.toAddHomClass.{max u2 u3, u3, u2} (AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (AddMonoidHom.addMonoidHomClass.{u3, u2} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))))) (MvPolynomial.weightedDegree'.{u2, u3} M σ _inst_2 w) d) m) -> (MvPolynomial.IsWeightedHomogeneous.{u1, u2, u3} R M _inst_1 σ _inst_2 w (FunLike.coe.{max (succ u3) (succ u1), succ u1, max (succ u3) (succ u1)} (LinearMap.{u1, u1, u1, max u1 u3} 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.{u3, 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 u3} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u3, u1} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, max u3 u1} R R R (MvPolynomial.{u3, 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 u3} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} 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, u3} R σ _inst_1 d) r) m)
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] (w : σ -> M) (d : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R) {m : M}, (Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) d) (FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u2} (AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (_x : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) _x) (AddHomClass.toFunLike.{max u2 u3, u3, u2} (AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (AddZeroClass.toAdd.{u3} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (AddMonoidHomClass.toAddHomClass.{max u2 u3, u3, u2} (AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (AddMonoidHom.addMonoidHomClass.{u3, u2} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))))) (MvPolynomial.weightedDegree'.{u2, u3} M σ _inst_2 w) d) m) -> (MvPolynomial.IsWeightedHomogeneous.{u1, u2, u3} R M _inst_1 σ _inst_2 w (FunLike.coe.{max (succ u3) (succ u1), succ u1, max (succ u3) (succ u1)} (LinearMap.{u1, u1, u1, max u1 u3} 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.{u3, 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 u3} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u3, u1} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, max u3 u1} R R R (MvPolynomial.{u3, 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 u3} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} 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, u3} R σ _inst_1 d) r) m)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.is_weighted_homogeneous_monomial MvPolynomial.isWeightedHomogeneous_monomialₓ'. -/
 /-- Monomials are weighted homogeneous. -/
 theorem isWeightedHomogeneous_monomial (w : σ → M) (d : σ →₀ ℕ) (r : R) {m : M}
@@ -496,7 +496,7 @@ variable {w : σ → M} (n : M) (φ ψ : MvPolynomial σ R)
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] {w : σ -> M} (n : M) (φ : MvPolynomial.{u3, u1} σ R _inst_1) [_inst_3 : DecidableEq.{succ u2} M] (d : Finsupp.{u3, 0} σ Nat Nat.hasZero), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u3} R σ _inst_1 d (coeFn.{succ (max u3 u1), succ (max u3 u1)} (LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, max u3 u1, max u3 u1} R R (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} 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.weightedHomogeneousComponent.{u1, u2, u3} R M _inst_1 σ _inst_2 w n) φ)) (ite.{succ u1} R (Eq.{succ u2} M (coeFn.{max (succ u2) (succ u3), max (succ u3) (succ u2)} (AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (fun (_x : AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) => (Finsupp.{u3, 0} σ Nat Nat.hasZero) -> M) (AddMonoidHom.hasCoeToFun.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MvPolynomial.weightedDegree'.{u2, u3} M σ _inst_2 w) d) n) (_inst_3 (coeFn.{max (succ u2) (succ u3), max (succ u3) (succ u2)} (AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (fun (_x : AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) => (Finsupp.{u3, 0} σ Nat Nat.hasZero) -> M) (AddMonoidHom.hasCoeToFun.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MvPolynomial.weightedDegree'.{u2, u3} M σ _inst_2 w) d) n) (MvPolynomial.coeff.{u1, u3} R σ _inst_1 d φ) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
 but is expected to have type
-  forall {R : Type.{u1}} {M : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u2}} [_inst_2 : AddCommMonoid.{u3} M] {w : σ -> M} (n : M) (φ : MvPolynomial.{u2, u1} σ R _inst_1) [_inst_3 : DecidableEq.{succ u3} M] (d : Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 d (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{u1, u1, max u1 u2, 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))) (MvPolynomial.{u2, u1} σ R _inst_1) (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 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(x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u2, u1} σ R _inst_1) => MvPolynomial.{u2, u1} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, max u2 u1, max u2 u1} R R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} 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 u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _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))))) (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))) (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.weightedHomogeneousComponent.{u1, u3, u2} R M _inst_1 σ _inst_2 w n) φ)) (ite.{succ u1} R (Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) d) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (AddMonoidHom.{u2, u3} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_2))) (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (_x : Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) _x) (AddHomClass.toFunLike.{max u3 u2, u2, u3} (AddMonoidHom.{u2, u3} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_2))) (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (AddZeroClass.toAdd.{u2} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_2))) (AddMonoidHomClass.toAddHomClass.{max u3 u2, u2, u3} (AddMonoidHom.{u2, u3} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_2))) (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_2)) (AddMonoidHom.addMonoidHomClass.{u2, u3} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_2))))) (MvPolynomial.weightedDegree'.{u3, u2} M σ _inst_2 w) d) n) (_inst_3 (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (AddMonoidHom.{u2, u3} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_2))) (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (_x : Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) _x) (AddHomClass.toFunLike.{max u3 u2, u2, u3} (AddMonoidHom.{u2, u3} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_2))) (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (AddZeroClass.toAdd.{u2} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_2))) (AddMonoidHomClass.toAddHomClass.{max u3 u2, u2, u3} (AddMonoidHom.{u2, u3} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_2))) (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_2)) (AddMonoidHom.addMonoidHomClass.{u2, u3} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_2))))) (MvPolynomial.weightedDegree'.{u3, u2} M σ _inst_2 w) d) n) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 d φ) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)))))
+  forall {R : Type.{u1}} {M : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u2}} [_inst_2 : AddCommMonoid.{u3} M] {w : σ -> M} (n : M) (φ : MvPolynomial.{u2, u1} σ R _inst_1) [_inst_3 : DecidableEq.{succ u3} M] (d : Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 d (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{u1, u1, max u1 u2, 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))) (MvPolynomial.{u2, u1} σ R _inst_1) (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 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(x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MvPolynomial.{u2, u1} σ R _inst_1) => MvPolynomial.{u2, u1} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, max u2 u1, max u2 u1} R R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} 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 u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _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))))) (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))) (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.weightedHomogeneousComponent.{u1, u3, u2} R M _inst_1 σ _inst_2 w n) φ)) (ite.{succ u1} R (Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) d) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (AddMonoidHom.{u2, u3} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat 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(LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (AddZeroClass.toAdd.{u2} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_2))) (AddMonoidHomClass.toAddHomClass.{max u3 u2, u2, u3} (AddMonoidHom.{u2, u3} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_2))) (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_2)) (AddMonoidHom.addMonoidHomClass.{u2, u3} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_2))))) (MvPolynomial.weightedDegree'.{u3, u2} M σ _inst_2 w) d) n) (_inst_3 (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (AddMonoidHom.{u2, u3} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_2))) (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (_x : Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) _x) (AddHomClass.toFunLike.{max u3 u2, u2, u3} (AddMonoidHom.{u2, u3} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_2))) (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (AddZeroClass.toAdd.{u2} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_2))) (AddMonoidHomClass.toAddHomClass.{max u3 u2, u2, u3} (AddMonoidHom.{u2, u3} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_2))) (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_2)) (AddMonoidHom.addMonoidHomClass.{u2, u3} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_2))))) (MvPolynomial.weightedDegree'.{u3, u2} M σ _inst_2 w) d) n) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 d φ) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_weighted_homogeneous_component MvPolynomial.coeff_weightedHomogeneousComponentₓ'. -/
 theorem coeff_weightedHomogeneousComponent [DecidableEq M] (d : σ →₀ ℕ) :
     coeff d (weightedHomogeneousComponent w n φ) =
@@ -508,7 +508,7 @@ theorem coeff_weightedHomogeneousComponent [DecidableEq M] (d : σ →₀ ℕ) :
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] {w : σ -> M} (n : M) (φ : MvPolynomial.{u3, u1} σ R _inst_1) [_inst_3 : DecidableEq.{succ u2} M], Eq.{max (succ u3) (succ u1)} (MvPolynomial.{u3, u1} σ R _inst_1) (coeFn.{succ (max u3 u1), succ (max u3 u1)} (LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, max u3 u1, max u3 u1} R R (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} 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.weightedHomogeneousComponent.{u1, u2, u3} R M _inst_1 σ _inst_2 w n) φ) (Finset.sum.{max u3 u1, u3} (MvPolynomial.{u3, u1} σ R _inst_1) (Finsupp.{u3, 0} σ Nat Nat.hasZero) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Finset.filter.{u3} (Finsupp.{u3, 0} σ Nat Nat.hasZero) (fun (d : Finsupp.{u3, 0} σ Nat Nat.hasZero) => Eq.{succ u2} M (coeFn.{max (succ u2) (succ u3), max (succ u3) (succ u2)} (AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (fun (_x : AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) => (Finsupp.{u3, 0} σ Nat Nat.hasZero) -> M) (AddMonoidHom.hasCoeToFun.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MvPolynomial.weightedDegree'.{u2, u3} M σ _inst_2 w) d) n) (fun (a : Finsupp.{u3, 0} σ Nat Nat.hasZero) => _inst_3 (coeFn.{max (succ u2) (succ u3), max (succ u3) (succ u2)} (AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (fun (_x : AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) => (Finsupp.{u3, 0} σ Nat Nat.hasZero) -> M) (AddMonoidHom.hasCoeToFun.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MvPolynomial.weightedDegree'.{u2, u3} M σ _inst_2 w) a) n) (MvPolynomial.support.{u1, u3} R σ _inst_1 φ)) (fun (d : Finsupp.{u3, 0} σ Nat Nat.hasZero) => coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (LinearMap.{u1, u1, u1, max u3 u1} 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.{u3, 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 u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u3 u1} 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.{u3, 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 u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u3 u1} R R R (MvPolynomial.{u3, 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 u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} 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, u3} R σ _inst_1 d) (MvPolynomial.coeff.{u1, u3} R σ _inst_1 d φ)))
 but is expected to have type
-  forall {R : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommSemiring.{u2} R] {σ : Type.{u1}} [_inst_2 : AddCommMonoid.{u3} M] {w : σ -> M} (n : M) (φ : MvPolynomial.{u1, u2} σ R _inst_1) [_inst_3 : DecidableEq.{succ u3} M], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u2 u1, max u2 u1} 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))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} 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Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_2))) (AddMonoidHomClass.toAddHomClass.{max u3 u1, u1, u3} (AddMonoidHom.{u1, u3} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_2))) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_2)) (AddMonoidHom.addMonoidHomClass.{u1, u3} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_2))))) (MvPolynomial.weightedDegree'.{u3, u1} M σ _inst_2 w) d) n) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => _inst_3 (FunLike.coe.{max (succ u3) (succ u1), succ u1, succ u3} (AddMonoidHom.{u1, u3} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_2))) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (_x : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) _x) (AddHomClass.toFunLike.{max u3 u1, u1, u3} (AddMonoidHom.{u1, u3} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_2))) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (AddZeroClass.toAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_2))) (AddMonoidHomClass.toAddHomClass.{max u3 u1, u1, u3} (AddMonoidHom.{u1, u3} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_2))) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_2)) (AddMonoidHom.addMonoidHomClass.{u1, u3} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_2))))) (MvPolynomial.weightedDegree'.{u3, u1} M σ _inst_2 w) a) n) (MvPolynomial.support.{u2, u1} R σ _inst_1 φ)) (fun (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} 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 u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (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 (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{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 u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (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) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d φ)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_homogeneous_component_apply MvPolynomial.weightedHomogeneousComponent_applyₓ'. -/
 theorem weightedHomogeneousComponent_apply [DecidableEq M] :
     weightedHomogeneousComponent w n φ =
@@ -520,7 +520,7 @@ theorem weightedHomogeneousComponent_apply [DecidableEq M] :
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] {w : σ -> M} (n : M) (φ : MvPolynomial.{u3, u1} σ R _inst_1), MvPolynomial.IsWeightedHomogeneous.{u1, u2, u3} R M _inst_1 σ _inst_2 w (coeFn.{succ (max u3 u1), succ (max u3 u1)} (LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, max u3 u1, max u3 u1} R R (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} 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.weightedHomogeneousComponent.{u1, u2, u3} R M _inst_1 σ _inst_2 w n) φ) n
 but is expected to have type
-  forall {R : Type.{u3}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u3} R] {σ : Type.{u1}} [_inst_2 : AddCommMonoid.{u2} M] {w : σ -> M} (n : M) (φ : MvPolynomial.{u1, u3} σ R _inst_1), MvPolynomial.IsWeightedHomogeneous.{u3, u2, u1} R M _inst_1 σ _inst_2 w (FunLike.coe.{max (succ u1) (succ u3), max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{u3, u3, max u3 u1, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) (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 u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _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 u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u1, u3} σ R _inst_1) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max u1 u3, max u1 u3} R R (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} 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 u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _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 u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.weightedHomogeneousComponent.{u3, u2, u1} R M _inst_1 σ _inst_2 w n) φ) n
+  forall {R : Type.{u3}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u3} R] {σ : Type.{u1}} [_inst_2 : AddCommMonoid.{u2} M] {w : σ -> M} (n : M) (φ : MvPolynomial.{u1, u3} σ R _inst_1), MvPolynomial.IsWeightedHomogeneous.{u3, u2, u1} R M _inst_1 σ _inst_2 w (FunLike.coe.{max (succ u1) (succ u3), max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{u3, u3, max u3 u1, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) (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 u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _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 u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MvPolynomial.{u1, u3} σ R _inst_1) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max u1 u3, max u1 u3} R R (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} 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 u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _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 u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.weightedHomogeneousComponent.{u3, u2, u1} R M _inst_1 σ _inst_2 w n) φ) n
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_homogeneous_component_is_weighted_homogeneous MvPolynomial.weightedHomogeneousComponent_isWeightedHomogeneousₓ'. -/
 /-- The `n` weighted homogeneous component of a polynomial is weighted homogeneous of
 weighted degree `n`. -/
@@ -536,7 +536,7 @@ theorem weightedHomogeneousComponent_isWeightedHomogeneous :
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] {w : σ -> M} (φ : MvPolynomial.{u3, u1} σ R _inst_1) (n : M) (r : R), Eq.{max (succ u3) (succ u1)} (MvPolynomial.{u3, u1} σ R _inst_1) (coeFn.{succ (max u3 u1), succ (max u3 u1)} (LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, max u3 u1, max u3 u1} R R (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} 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.weightedHomogeneousComponent.{u1, u2, u3} R M _inst_1 σ _inst_2 w n) (HMul.hMul.{max u3 u1, max u3 u1, max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (instHMul.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Distrib.toHasMul.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (MvPolynomial.C.{u1, u3} R σ _inst_1) r) φ)) (HMul.hMul.{max u3 u1, max u3 u1, max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (instHMul.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Distrib.toHasMul.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} 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 but is expected to have type
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+  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u1} M] {w : σ -> M} (φ : MvPolynomial.{u3, u2} σ R _inst_1) (n : M) (r : R), Eq.{max (succ u3) (succ u2)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MvPolynomial.{u3, u2} σ R _inst_1) => MvPolynomial.{u3, u2} σ R _inst_1) (HMul.hMul.{max u2 u3, max u2 u3, max u3 u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u3, u2} σ R _inst_1) r) (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.{u3, u2} σ R _inst_1) (instHMul.{max u2 u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u3, u2} σ R _inst_1) r) (NonUnitalNonAssocSemiring.toMul.{max u2 u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u3, u2} σ R _inst_1) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u3, u2} σ R _inst_1) r) 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(CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u2, max u3 u2} (RingHom.{u2, max u2 u3} R (MvPolynomial.{u3, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)))) R (MvPolynomial.{u3, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u3 u2} R (MvPolynomial.{u3, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))))) (MvPolynomial.C.{u2, u3} R σ _inst_1) r) φ)) (instHMul.{max u2 u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u3, u2} σ R _inst_1) r) (NonUnitalNonAssocSemiring.toMul.{max u2 u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u3, u2} σ R _inst_1) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u3, u2} σ R _inst_1) r) (Semiring.toNonAssocSemiring.{max u2 u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u3, 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_inst_1) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)))) R (MvPolynomial.{u3, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u2, max u3 u2} (RingHom.{u2, max u2 u3} R (MvPolynomial.{u3, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)))) R (MvPolynomial.{u3, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u3 u2} R (MvPolynomial.{u3, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))))) (MvPolynomial.C.{u2, u3} R σ _inst_1) r) (FunLike.coe.{max (succ u3) (succ u2), max (succ u3) (succ u2), max (succ u3) (succ u2)} (LinearMap.{u2, u2, max u2 u3, max u2 u3} 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))) (MvPolynomial.{u3, u2} σ R _inst_1) (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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.{u3, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u3, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MvPolynomial.{u3, u2} σ R _inst_1) => MvPolynomial.{u3, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u3 u2, max u3 u2} R R (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} 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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.module.{u2, u2, u3} 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.weightedHomogeneousComponent.{u2, u1, u3} R M _inst_1 σ _inst_2 w n) φ))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_homogeneous_component_C_mul MvPolynomial.weightedHomogeneousComponent_C_mulₓ'. -/
 @[simp]
 theorem weightedHomogeneousComponent_C_mul (n : M) (r : R) :
@@ -548,7 +548,7 @@ theorem weightedHomogeneousComponent_C_mul (n : M) (r : R) :
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] {w : σ -> M} (n : M) (φ : MvPolynomial.{u3, u1} σ R _inst_1), (forall (d : Finsupp.{u3, 0} σ Nat Nat.hasZero), (Membership.Mem.{u3, u3} (Finsupp.{u3, 0} σ Nat Nat.hasZero) (Finset.{u3} (Finsupp.{u3, 0} σ Nat Nat.hasZero)) (Finset.hasMem.{u3} (Finsupp.{u3, 0} σ Nat Nat.hasZero)) d (MvPolynomial.support.{u1, u3} R σ _inst_1 φ)) -> (Ne.{succ u2} M (coeFn.{max (succ u2) (succ u3), max (succ u3) (succ u2)} (AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (fun (_x : AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) => (Finsupp.{u3, 0} σ Nat Nat.hasZero) -> M) (AddMonoidHom.hasCoeToFun.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MvPolynomial.weightedDegree'.{u2, u3} M σ _inst_2 w) d) n)) -> (Eq.{max (succ u3) (succ u1)} (MvPolynomial.{u3, u1} σ R _inst_1) (coeFn.{succ (max u3 u1), succ (max u3 u1)} (LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, max u3 u1, max u3 u1} R R (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} 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.weightedHomogeneousComponent.{u1, u2, u3} R M _inst_1 σ _inst_2 w n) φ) (OfNat.ofNat.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) 0 (OfNat.mk.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) 0 (Zero.zero.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))))))))
 but is expected to have type
-  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u1} M] {w : σ -> M} (n : M) (φ : MvPolynomial.{u3, u2} σ R _inst_1), (forall (d : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), (Membership.mem.{u3, u3} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u3} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instMembershipFinset.{u3} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) d (MvPolynomial.support.{u2, u3} R σ _inst_1 φ)) -> (Ne.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) d) (FunLike.coe.{max (succ u1) (succ u3), succ u3, succ u1} (AddMonoidHom.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (_x : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) _x) (AddHomClass.toFunLike.{max u1 u3, u3, u1} (AddMonoidHom.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (AddZeroClass.toAdd.{u3} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (AddMonoidHomClass.toAddHomClass.{max u1 u3, u3, u1} (AddMonoidHom.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (AddMonoidHom.addMonoidHomClass.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))))) (MvPolynomial.weightedDegree'.{u1, u3} M σ _inst_2 w) d) n)) -> (Eq.{max (succ u2) (succ u3)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u3, u2} σ R _inst_1) => MvPolynomial.{u3, u2} σ R _inst_1) φ) (FunLike.coe.{max (succ u3) (succ u2), max (succ u3) (succ u2), max (succ u3) (succ u2)} (LinearMap.{u2, u2, max u2 u3, max u2 u3} 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))) (MvPolynomial.{u3, u2} σ R _inst_1) (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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.{u3, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u3, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u3, u2} σ R _inst_1) => MvPolynomial.{u3, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u3 u2, max u3 u2} R R (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} 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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.module.{u2, u2, u3} 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.weightedHomogeneousComponent.{u2, u1, u3} R M _inst_1 σ _inst_2 w n) φ) (OfNat.ofNat.{max u2 u3} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u3, u2} σ R _inst_1) => MvPolynomial.{u3, u2} σ R _inst_1) φ) 0 (Zero.toOfNat0.{max u2 u3} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u3, u2} σ R _inst_1) => MvPolynomial.{u3, u2} σ R _inst_1) φ) (CommMonoidWithZero.toZero.{max u2 u3} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u3, u2} σ R _inst_1) => MvPolynomial.{u3, u2} σ R _inst_1) φ) (CommSemiring.toCommMonoidWithZero.{max u2 u3} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u3, u2} σ R _inst_1) => MvPolynomial.{u3, u2} σ R _inst_1) φ) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))))
+  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u1} M] {w : σ -> M} (n : M) (φ : MvPolynomial.{u3, u2} σ R _inst_1), (forall (d : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), (Membership.mem.{u3, u3} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u3} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instMembershipFinset.{u3} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) d (MvPolynomial.support.{u2, u3} R σ _inst_1 φ)) -> (Ne.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) d) (FunLike.coe.{max (succ u1) (succ u3), succ u3, succ u1} (AddMonoidHom.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (_x : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) _x) (AddHomClass.toFunLike.{max u1 u3, u3, u1} (AddMonoidHom.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (AddZeroClass.toAdd.{u3} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (AddMonoidHomClass.toAddHomClass.{max u1 u3, u3, u1} (AddMonoidHom.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (AddMonoidHom.addMonoidHomClass.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))))) (MvPolynomial.weightedDegree'.{u1, u3} M σ _inst_2 w) d) n)) -> (Eq.{max (succ u2) (succ u3)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MvPolynomial.{u3, u2} σ R _inst_1) => MvPolynomial.{u3, u2} σ R _inst_1) φ) (FunLike.coe.{max (succ u3) (succ u2), max (succ u3) (succ u2), max (succ u3) (succ u2)} (LinearMap.{u2, u2, max u2 u3, max u2 u3} 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))) (MvPolynomial.{u3, u2} σ R _inst_1) (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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.{u3, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u3, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MvPolynomial.{u3, u2} σ R _inst_1) => MvPolynomial.{u3, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u3 u2, max u3 u2} R R (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} 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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.module.{u2, u2, u3} 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.weightedHomogeneousComponent.{u2, u1, u3} R M _inst_1 σ _inst_2 w n) φ) (OfNat.ofNat.{max u2 u3} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MvPolynomial.{u3, u2} σ R _inst_1) => MvPolynomial.{u3, u2} σ R _inst_1) φ) 0 (Zero.toOfNat0.{max u2 u3} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MvPolynomial.{u3, u2} σ R _inst_1) => MvPolynomial.{u3, u2} σ R _inst_1) φ) (CommMonoidWithZero.toZero.{max u2 u3} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MvPolynomial.{u3, u2} σ R _inst_1) => MvPolynomial.{u3, u2} σ R _inst_1) φ) (CommSemiring.toCommMonoidWithZero.{max u2 u3} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MvPolynomial.{u3, u2} σ R _inst_1) => MvPolynomial.{u3, u2} σ R _inst_1) φ) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_homogeneous_component_eq_zero' MvPolynomial.weightedHomogeneousComponent_eq_zero'ₓ'. -/
 theorem weightedHomogeneousComponent_eq_zero'
     (h : ∀ d : σ →₀ ℕ, d ∈ φ.support → weightedDegree' w d ≠ n) :
@@ -565,7 +565,7 @@ theorem weightedHomogeneousComponent_eq_zero'
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] {w : σ -> M} (n : M) (φ : MvPolynomial.{u3, u1} σ R _inst_1) [_inst_3 : SemilatticeSup.{u2} M] [_inst_4 : OrderBot.{u2} M (Preorder.toHasLe.{u2} M (PartialOrder.toPreorder.{u2} M (SemilatticeSup.toPartialOrder.{u2} M _inst_3)))], (LT.lt.{u2} M (Preorder.toHasLt.{u2} M (PartialOrder.toPreorder.{u2} M (SemilatticeSup.toPartialOrder.{u2} M _inst_3))) (MvPolynomial.weightedTotalDegree.{u1, u2, u3} R M _inst_1 σ _inst_2 _inst_3 _inst_4 w φ) n) -> (Eq.{max (succ u3) (succ u1)} (MvPolynomial.{u3, u1} σ R _inst_1) (coeFn.{succ (max u3 u1), succ (max u3 u1)} (LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, max u3 u1, max u3 u1} R R (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} 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.weightedHomogeneousComponent.{u1, u2, u3} R M _inst_1 σ _inst_2 w n) φ) (OfNat.ofNat.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) 0 (OfNat.mk.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) 0 (Zero.zero.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))))))))
 but is expected to have type
-  forall {R : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommSemiring.{u2} R] {σ : Type.{u1}} [_inst_2 : AddCommMonoid.{u3} M] {w : σ -> M} (n : M) (φ : MvPolynomial.{u1, u2} σ R _inst_1) [_inst_3 : SemilatticeSup.{u3} M] [_inst_4 : OrderBot.{u3} M (Preorder.toLE.{u3} M (PartialOrder.toPreorder.{u3} M (SemilatticeSup.toPartialOrder.{u3} M _inst_3)))], (LT.lt.{u3} M (Preorder.toLT.{u3} M (PartialOrder.toPreorder.{u3} M (SemilatticeSup.toPartialOrder.{u3} M _inst_3))) (MvPolynomial.weightedTotalDegree.{u2, u3, u1} R M _inst_1 σ _inst_2 _inst_3 _inst_4 w φ) n) -> (Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u2 u1, max u2 u1} 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))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _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))) (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)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} R R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _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))) (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.weightedHomogeneousComponent.{u2, u3, u1} R M _inst_1 σ _inst_2 w n) φ) (OfNat.ofNat.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) 0 (Zero.toOfNat0.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) (CommMonoidWithZero.toZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) (CommSemiring.toCommMonoidWithZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))
+  forall {R : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommSemiring.{u2} R] {σ : Type.{u1}} [_inst_2 : AddCommMonoid.{u3} M] {w : σ -> M} (n : M) (φ : MvPolynomial.{u1, u2} σ R _inst_1) [_inst_3 : SemilatticeSup.{u3} M] [_inst_4 : OrderBot.{u3} M (Preorder.toLE.{u3} M (PartialOrder.toPreorder.{u3} M (SemilatticeSup.toPartialOrder.{u3} M _inst_3)))], (LT.lt.{u3} M (Preorder.toLT.{u3} M (PartialOrder.toPreorder.{u3} M (SemilatticeSup.toPartialOrder.{u3} M _inst_3))) (MvPolynomial.weightedTotalDegree.{u2, u3, u1} R M _inst_1 σ _inst_2 _inst_3 _inst_4 w φ) n) -> (Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u2 u1, max u2 u1} 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))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _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))) (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)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} R R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _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))) (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.weightedHomogeneousComponent.{u2, u3, u1} R M _inst_1 σ _inst_2 w n) φ) (OfNat.ofNat.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) 0 (Zero.toOfNat0.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) (CommMonoidWithZero.toZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) (CommSemiring.toCommMonoidWithZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_homogeneous_component_eq_zero MvPolynomial.weightedHomogeneousComponent_eq_zeroₓ'. -/
 theorem weightedHomogeneousComponent_eq_zero [SemilatticeSup M] [OrderBot M]
     (h : weightedTotalDegree w φ < n) : weightedHomogeneousComponent w n φ = 0 := by
@@ -583,7 +583,7 @@ theorem weightedHomogeneousComponent_eq_zero [SemilatticeSup M] [OrderBot M]
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] {w : σ -> M} (φ : MvPolynomial.{u3, u1} σ R _inst_1), Set.Finite.{u2} M (Function.support.{u2, max u3 u1} M (MvPolynomial.{u3, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))))) (fun (m : M) => coeFn.{succ (max u3 u1), succ (max u3 u1)} (LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, max u3 u1, max u3 u1} R R (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} 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.weightedHomogeneousComponent.{u1, u2, u3} R M _inst_1 σ _inst_2 w m) φ))
 but is expected to have type
-  forall {R : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommSemiring.{u2} R] {σ : Type.{u1}} [_inst_2 : AddCommMonoid.{u3} M] {w : σ -> M} (φ : MvPolynomial.{u1, u2} σ R _inst_1), Set.Finite.{u3} M (Function.support.{u3, max u2 u1} M ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) (CommMonoidWithZero.toZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) (CommSemiring.toCommMonoidWithZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (fun (m : M) => FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u2 u1, max u2 u1} 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))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _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))) (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)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} R R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _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))) (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.weightedHomogeneousComponent.{u2, u3, u1} R M _inst_1 σ _inst_2 w m) φ))
+  forall {R : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommSemiring.{u2} R] {σ : Type.{u1}} [_inst_2 : AddCommMonoid.{u3} M] {w : σ -> M} (φ : MvPolynomial.{u1, u2} σ R _inst_1), Set.Finite.{u3} M (Function.support.{u3, max u2 u1} M ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) (CommMonoidWithZero.toZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) (CommSemiring.toCommMonoidWithZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (fun (m : M) => FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u2 u1, max u2 u1} 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))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _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))) (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)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} R R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _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))) (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.weightedHomogeneousComponent.{u2, u3, u1} R M _inst_1 σ _inst_2 w m) φ))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_homogeneous_component_finsupp MvPolynomial.weightedHomogeneousComponent_finsuppₓ'. -/
 theorem weightedHomogeneousComponent_finsupp :
     (Function.support fun m => weightedHomogeneousComponent w m φ).Finite :=
@@ -607,7 +607,7 @@ variable (w)
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] (w : σ -> M) (φ : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ (max u3 u1)} (MvPolynomial.{u3, u1} σ R _inst_1) (finsum.{max u3 u1, succ u2} (MvPolynomial.{u3, u1} σ R _inst_1) M (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (fun (m : M) => coeFn.{succ (max u3 u1), succ (max u3 u1)} (LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, max u3 u1, max u3 u1} R R (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} 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.weightedHomogeneousComponent.{u1, u2, u3} R M _inst_1 σ _inst_2 w m) φ)) φ
 but is expected to have type
-  forall {R : Type.{u3}} {M : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {σ : Type.{u2}} [_inst_2 : AddCommMonoid.{u1} M] (w : σ -> M) (φ : MvPolynomial.{u2, u3} σ R _inst_1), Eq.{max (succ u3) (succ u2)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u2, u3} σ R _inst_1) => MvPolynomial.{u2, u3} σ R _inst_1) φ) (finsum.{max u3 u2, succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u2, u3} σ R _inst_1) => MvPolynomial.{u2, u3} σ R _inst_1) φ) M (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u2, u3} σ R _inst_1) => MvPolynomial.{u2, u3} σ R _inst_1) φ) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u2, u3} σ R _inst_1) => MvPolynomial.{u2, u3} σ R _inst_1) φ) (Semiring.toNonAssocSemiring.{max u3 u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u2, u3} σ R _inst_1) => MvPolynomial.{u2, u3} σ R _inst_1) φ) (CommSemiring.toSemiring.{max u3 u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u2, u3} σ R _inst_1) => MvPolynomial.{u2, u3} σ R _inst_1) φ) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (fun (m : M) => FunLike.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u3, u3, max u3 u2, max u3 u2} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.{u2, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.{u2, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u2, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u2, u3} σ R _inst_1) => MvPolynomial.{u2, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max u2 u3, max u2 u3} R R (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.weightedHomogeneousComponent.{u3, u1, u2} R M _inst_1 σ _inst_2 w m) φ)) φ
+  forall {R : Type.{u3}} {M : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {σ : Type.{u2}} [_inst_2 : AddCommMonoid.{u1} M] (w : σ -> M) (φ : MvPolynomial.{u2, u3} σ R _inst_1), Eq.{max (succ u3) (succ u2)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MvPolynomial.{u2, u3} σ R _inst_1) => MvPolynomial.{u2, u3} σ R _inst_1) φ) (finsum.{max u3 u2, succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MvPolynomial.{u2, u3} σ R _inst_1) => MvPolynomial.{u2, u3} σ R _inst_1) φ) M (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MvPolynomial.{u2, u3} σ R _inst_1) => MvPolynomial.{u2, u3} σ R _inst_1) φ) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MvPolynomial.{u2, u3} σ R _inst_1) => MvPolynomial.{u2, u3} σ R _inst_1) φ) (Semiring.toNonAssocSemiring.{max u3 u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MvPolynomial.{u2, u3} σ R _inst_1) => MvPolynomial.{u2, u3} σ R _inst_1) φ) (CommSemiring.toSemiring.{max u3 u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MvPolynomial.{u2, u3} σ R _inst_1) => MvPolynomial.{u2, u3} σ R _inst_1) φ) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (fun (m : M) => FunLike.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u3, u3, max u3 u2, max u3 u2} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.{u2, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.{u2, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u2, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MvPolynomial.{u2, u3} σ R _inst_1) => MvPolynomial.{u2, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max u2 u3, max u2 u3} R R (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.weightedHomogeneousComponent.{u3, u1, u2} R M _inst_1 σ _inst_2 w m) φ)) φ
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.sum_weighted_homogeneous_component MvPolynomial.sum_weightedHomogeneousComponentₓ'. -/
 /-- Every polynomial is the sum of its weighted homogeneous components. -/
 theorem sum_weightedHomogeneousComponent :
@@ -634,7 +634,7 @@ variable {w}
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] {w : σ -> M} [_inst_3 : DecidableEq.{succ u2} M] (m : M) (n : M) (p : MvPolynomial.{u3, u1} σ R _inst_1), (Membership.Mem.{max u3 u1, max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Submodule.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (SetLike.hasMem.{max u3 u1, max u3 u1} (Submodule.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.{u3, u1} σ R _inst_1) (Submodule.setLike.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) p (MvPolynomial.weightedHomogeneousSubmodule.{u1, u2, u3} R M _inst_1 σ _inst_2 w n)) -> (Eq.{max (succ u3) (succ u1)} (MvPolynomial.{u3, u1} σ R _inst_1) (coeFn.{succ (max u3 u1), succ (max u3 u1)} (LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, max u3 u1, max u3 u1} R R (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} 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.weightedHomogeneousComponent.{u1, u2, u3} R M _inst_1 σ _inst_2 w m) p) (ite.{max (succ u3) (succ u1)} (MvPolynomial.{u3, u1} σ R _inst_1) (Eq.{succ u2} M m n) (_inst_3 m n) p (OfNat.ofNat.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) 0 (OfNat.mk.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) 0 (Zero.zero.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))))))))))
 but is expected to have type
-  forall {R : Type.{u1}} {M : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u2}} [_inst_2 : AddCommMonoid.{u3} M] {w : σ -> M} [_inst_3 : DecidableEq.{succ u3} M] (m : M) (n : M) (p : MvPolynomial.{u2, u1} σ R _inst_1), (Membership.mem.{max u1 u2, max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Submodule.{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 u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _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)))) (SetLike.instMembership.{max u1 u2, max u1 u2} (Submodule.{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 u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _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)))) (MvPolynomial.{u2, u1} σ R _inst_1) (Submodule.setLike.{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 u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _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))))) p (MvPolynomial.weightedHomogeneousSubmodule.{u1, u3, u2} R M _inst_1 σ _inst_2 w n)) -> (Eq.{max (succ u1) (succ u2)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u2, u1} σ R _inst_1) => MvPolynomial.{u2, u1} σ R _inst_1) p) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{u1, u1, max u1 u2, 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))) (MvPolynomial.{u2, u1} σ R _inst_1) (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 u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _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))))) (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))) (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)))) (MvPolynomial.{u2, u1} σ R _inst_1) (fun (_x : MvPolynomial.{u2, u1} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u2, u1} σ R _inst_1) => MvPolynomial.{u2, u1} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, max u2 u1, max u2 u1} R R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} 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 u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _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))))) (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))) (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.weightedHomogeneousComponent.{u1, u3, u2} R M _inst_1 σ _inst_2 w m) p) (ite.{max (succ u1) (succ u2)} (MvPolynomial.{u2, u1} σ R _inst_1) (Eq.{succ u3} M m n) (_inst_3 m n) p (OfNat.ofNat.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (Zero.toOfNat0.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommMonoidWithZero.toZero.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toCommMonoidWithZero.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))
+  forall {R : Type.{u1}} {M : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u2}} [_inst_2 : AddCommMonoid.{u3} M] {w : σ -> M} [_inst_3 : DecidableEq.{succ u3} M] (m : M) (n : M) (p : MvPolynomial.{u2, u1} σ R _inst_1), (Membership.mem.{max u1 u2, max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Submodule.{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 u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _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)))) (SetLike.instMembership.{max u1 u2, max u1 u2} (Submodule.{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 u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _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)))) (MvPolynomial.{u2, u1} σ R _inst_1) (Submodule.setLike.{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 u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _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))))) p (MvPolynomial.weightedHomogeneousSubmodule.{u1, u3, u2} R M _inst_1 σ _inst_2 w n)) -> (Eq.{max (succ u1) (succ u2)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MvPolynomial.{u2, u1} σ R _inst_1) => MvPolynomial.{u2, u1} σ R _inst_1) p) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{u1, u1, max u1 u2, 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))) (MvPolynomial.{u2, u1} σ R _inst_1) (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 u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _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))))) (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))) (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)))) (MvPolynomial.{u2, u1} σ R _inst_1) (fun (_x : MvPolynomial.{u2, u1} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MvPolynomial.{u2, u1} σ R _inst_1) => MvPolynomial.{u2, u1} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, max u2 u1, max u2 u1} R R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} 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 u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _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))))) (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))) (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.weightedHomogeneousComponent.{u1, u3, u2} R M _inst_1 σ _inst_2 w m) p) (ite.{max (succ u1) (succ u2)} (MvPolynomial.{u2, u1} σ R _inst_1) (Eq.{succ u3} M m n) (_inst_3 m n) p (OfNat.ofNat.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (Zero.toOfNat0.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommMonoidWithZero.toZero.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toCommMonoidWithZero.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_homogeneous_component_weighted_homogeneous_polynomial MvPolynomial.weightedHomogeneousComponent_weighted_homogeneous_polynomialₓ'. -/
 /-- The weighted homogeneous components of a weighted homogeneous polynomial. -/
 theorem weightedHomogeneousComponent_weighted_homogeneous_polynomial [DecidableEq M] (m n : M)
@@ -666,7 +666,7 @@ variable [CanonicallyOrderedAddMonoid M] {w : σ → M} (φ : MvPolynomial σ R)
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : CanonicallyOrderedAddMonoid.{u2} M] {w : σ -> M} (φ : MvPolynomial.{u3, u1} σ R _inst_1) [_inst_3 : NoZeroSMulDivisors.{0, u2} Nat M Nat.hasZero (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M (CanonicallyOrderedAddMonoid.toOrderedAddCommMonoid.{u2} M _inst_2))))) (AddMonoid.SMul.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M (CanonicallyOrderedAddMonoid.toOrderedAddCommMonoid.{u2} M _inst_2))))], (forall (i : σ), Ne.{succ u2} M (w i) (OfNat.ofNat.{u2} M 0 (OfNat.mk.{u2} M 0 (Zero.zero.{u2} M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M (CanonicallyOrderedAddMonoid.toOrderedAddCommMonoid.{u2} M _inst_2))))))))) -> (Eq.{max (succ u3) (succ u1)} (MvPolynomial.{u3, u1} σ R _inst_1) (coeFn.{succ (max u3 u1), succ (max u3 u1)} (LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, max u3 u1, max u3 u1} R R (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} 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.weightedHomogeneousComponent.{u1, u2, u3} R M _inst_1 σ (OrderedAddCommMonoid.toAddCommMonoid.{u2} M (CanonicallyOrderedAddMonoid.toOrderedAddCommMonoid.{u2} M _inst_2)) w (OfNat.ofNat.{u2} M 0 (OfNat.mk.{u2} M 0 (Zero.zero.{u2} M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M (CanonicallyOrderedAddMonoid.toOrderedAddCommMonoid.{u2} M _inst_2))))))))) φ) (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (MvPolynomial.C.{u1, u3} R σ _inst_1) (MvPolynomial.coeff.{u1, u3} R σ _inst_1 (OfNat.ofNat.{u3} (Finsupp.{u3, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u3} (Finsupp.{u3, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u3} (Finsupp.{u3, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u3, 0} σ Nat Nat.hasZero)))) φ)))
 but is expected to have type
-  forall {R : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommSemiring.{u2} R] {σ : Type.{u1}} [_inst_2 : CanonicallyOrderedAddMonoid.{u3} M] {w : σ -> M} (φ : MvPolynomial.{u1, u2} σ R _inst_1) [_inst_3 : NoZeroSMulDivisors.{0, u3} Nat M (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (OrderedAddCommMonoid.toAddCommMonoid.{u3} M (CanonicallyOrderedAddMonoid.toOrderedAddCommMonoid.{u3} M _inst_2)))) (AddMonoid.SMul.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (OrderedAddCommMonoid.toAddCommMonoid.{u3} M (CanonicallyOrderedAddMonoid.toOrderedAddCommMonoid.{u3} M _inst_2))))], (forall (i : σ), Ne.{succ u3} M (w i) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (OrderedAddCommMonoid.toAddCommMonoid.{u3} M (CanonicallyOrderedAddMonoid.toOrderedAddCommMonoid.{u3} M _inst_2))))))) -> (Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u2 u1, max u2 u1} 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))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _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))) (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)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} R R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _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))) (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.weightedHomogeneousComponent.{u2, u3, u1} R M _inst_1 σ (OrderedAddCommMonoid.toAddCommMonoid.{u3} M (CanonicallyOrderedAddMonoid.toOrderedAddCommMonoid.{u3} M _inst_2)) w (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (OrderedAddCommMonoid.toAddCommMonoid.{u3} M (CanonicallyOrderedAddMonoid.toOrderedAddCommMonoid.{u3} M _inst_2))))))) φ) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{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 u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{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 u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))) φ)))
+  forall {R : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommSemiring.{u2} R] {σ : Type.{u1}} [_inst_2 : CanonicallyOrderedAddMonoid.{u3} M] {w : σ -> M} (φ : MvPolynomial.{u1, u2} σ R _inst_1) [_inst_3 : NoZeroSMulDivisors.{0, u3} Nat M (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (OrderedAddCommMonoid.toAddCommMonoid.{u3} M (CanonicallyOrderedAddMonoid.toOrderedAddCommMonoid.{u3} M _inst_2)))) (AddMonoid.SMul.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (OrderedAddCommMonoid.toAddCommMonoid.{u3} M (CanonicallyOrderedAddMonoid.toOrderedAddCommMonoid.{u3} M _inst_2))))], (forall (i : σ), Ne.{succ u3} M (w i) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (OrderedAddCommMonoid.toAddCommMonoid.{u3} M (CanonicallyOrderedAddMonoid.toOrderedAddCommMonoid.{u3} M _inst_2))))))) -> (Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u2 u1, max u2 u1} 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))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _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))) (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)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} R R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _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))) (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.weightedHomogeneousComponent.{u2, u3, u1} R M _inst_1 σ (OrderedAddCommMonoid.toAddCommMonoid.{u3} M (CanonicallyOrderedAddMonoid.toOrderedAddCommMonoid.{u3} M _inst_2)) w (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (OrderedAddCommMonoid.toAddCommMonoid.{u3} M (CanonicallyOrderedAddMonoid.toOrderedAddCommMonoid.{u3} M _inst_2))))))) φ) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{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 u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{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 u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))) φ)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_homogeneous_component_zero MvPolynomial.weightedHomogeneousComponent_zeroₓ'. -/
 /-- If `M` is a `canonically_ordered_add_monoid`, then the `weighted_homogeneous_component`
   of weighted degree `0` of a polynomial is its constant coefficient. -/

mathlib commit https://github.com/leanprover-community/mathlib/commit/33c67ae661dd8988516ff7f247b0be3018cdd952

@@ -496,7 +496,7 @@ variable {w : σ → M} (n : M) (φ ψ : MvPolynomial σ R)
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] {w : σ -> M} (n : M) (φ : MvPolynomial.{u3, u1} σ R _inst_1) [_inst_3 : DecidableEq.{succ u2} M] (d : Finsupp.{u3, 0} σ Nat Nat.hasZero), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u3} R σ _inst_1 d (coeFn.{succ (max u3 u1), succ (max u3 u1)} (LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, max u3 u1, max u3 u1} R R (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} 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.weightedHomogeneousComponent.{u1, u2, u3} R M _inst_1 σ _inst_2 w n) φ)) (ite.{succ u1} R (Eq.{succ u2} M (coeFn.{max (succ u2) (succ u3), max (succ u3) (succ u2)} (AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (fun (_x : AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) => (Finsupp.{u3, 0} σ Nat Nat.hasZero) -> M) (AddMonoidHom.hasCoeToFun.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MvPolynomial.weightedDegree'.{u2, u3} M σ _inst_2 w) d) n) (_inst_3 (coeFn.{max (succ u2) (succ u3), max (succ u3) (succ u2)} (AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (fun (_x : AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ 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 but is expected to have type
-  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u1} M] {w : σ -> M} (n : M) (φ : MvPolynomial.{u3, u2} σ R _inst_1) (_inst_3 : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u3} R σ _inst_1 _inst_3 (FunLike.coe.{max (succ u3) (succ u2), max (succ u3) (succ u2), max (succ u3) (succ u2)} (LinearMap.{u2, u2, max u2 u3, max u2 u3} 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))) (MvPolynomial.{u3, u2} σ R _inst_1) (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, 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MvPolynomial.{u3, u2} σ R _inst_1) => MvPolynomial.{u3, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, max u3 u2, max u3 u2} R R (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} 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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.module.{u2, u2, u3} 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.weightedHomogeneousComponent.{u2, u1, u3} R M _inst_1 σ _inst_2 w n) φ)) (ite.{succ u2} R (Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) _inst_3) (FunLike.coe.{max (succ u1) (succ u3), succ u3, succ u1} (AddMonoidHom.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M 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Nat.linearOrderedCommMonoidWithZero)) M (AddZeroClass.toAdd.{u3} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (AddMonoidHomClass.toAddHomClass.{max u1 u3, u3, u1} (AddMonoidHom.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (AddMonoidHom.addMonoidHomClass.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))))) (MvPolynomial.weightedDegree'.{u1, u3} M σ _inst_2 w) _inst_3) n) (Classical.propDecidable (Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) _inst_3) (FunLike.coe.{max (succ u1) (succ u3), succ u3, succ u1} (AddMonoidHom.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) a) (AddHomClass.toFunLike.{max u1 u3, u3, u1} (AddMonoidHom.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (AddZeroClass.toAdd.{u3} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (AddMonoidHomClass.toAddHomClass.{max u1 u3, u3, u1} (AddMonoidHom.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (AddMonoidHom.addMonoidHomClass.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))))) (MvPolynomial.weightedDegree'.{u1, u3} M σ _inst_2 w) _inst_3) n)) (MvPolynomial.coeff.{u2, u3} R σ _inst_1 _inst_3 φ) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
+  forall {R : Type.{u1}} {M : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u2}} [_inst_2 : AddCommMonoid.{u3} M] {w : σ -> M} (n : M) (φ : MvPolynomial.{u2, u1} σ R _inst_1) [_inst_3 : DecidableEq.{succ u3} M] (d : Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 d (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{u1, u1, max u1 u2, 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))) (MvPolynomial.{u2, u1} σ R _inst_1) (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 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(x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u2, u1} σ R _inst_1) => MvPolynomial.{u2, u1} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, max u2 u1, max u2 u1} R R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} 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 u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _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))))) (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))) (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.weightedHomogeneousComponent.{u1, u3, u2} R M _inst_1 σ _inst_2 w n) φ)) (ite.{succ u1} R (Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) d) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (AddMonoidHom.{u2, u3} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat 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(LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (AddZeroClass.toAdd.{u2} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_2))) (AddMonoidHomClass.toAddHomClass.{max u3 u2, u2, u3} (AddMonoidHom.{u2, u3} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_2))) (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_2)) (AddMonoidHom.addMonoidHomClass.{u2, u3} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_2))))) (MvPolynomial.weightedDegree'.{u3, u2} M σ _inst_2 w) d) n) (_inst_3 (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (AddMonoidHom.{u2, u3} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_2))) (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (_x : Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) _x) (AddHomClass.toFunLike.{max u3 u2, u2, u3} (AddMonoidHom.{u2, u3} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_2))) (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (AddZeroClass.toAdd.{u2} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_2))) (AddMonoidHomClass.toAddHomClass.{max u3 u2, u2, u3} (AddMonoidHom.{u2, u3} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_2))) (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_2)) (AddMonoidHom.addMonoidHomClass.{u2, u3} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_2))))) (MvPolynomial.weightedDegree'.{u3, u2} M σ _inst_2 w) d) n) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 d φ) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_weighted_homogeneous_component MvPolynomial.coeff_weightedHomogeneousComponentₓ'. -/
 theorem coeff_weightedHomogeneousComponent [DecidableEq M] (d : σ →₀ ℕ) :
     coeff d (weightedHomogeneousComponent w n φ) =
@@ -508,7 +508,7 @@ theorem coeff_weightedHomogeneousComponent [DecidableEq M] (d : σ →₀ ℕ) :
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] {w : σ -> M} (n : M) (φ : MvPolynomial.{u3, u1} σ R _inst_1) [_inst_3 : DecidableEq.{succ u2} M], Eq.{max (succ u3) (succ u1)} (MvPolynomial.{u3, u1} σ R _inst_1) (coeFn.{succ (max u3 u1), succ (max u3 u1)} (LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) 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u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, max u3 u1, max u3 u1} R R (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} 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.weightedHomogeneousComponent.{u1, u2, u3} R M _inst_1 σ _inst_2 w n) φ) (Finset.sum.{max u3 u1, u3} (MvPolynomial.{u3, u1} σ R _inst_1) (Finsupp.{u3, 0} σ Nat Nat.hasZero) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Finset.filter.{u3} (Finsupp.{u3, 0} σ Nat Nat.hasZero) (fun (d : Finsupp.{u3, 0} σ Nat Nat.hasZero) => Eq.{succ u2} M (coeFn.{max (succ u2) (succ u3), max (succ u3) (succ u2)} (AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (fun (_x : AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) => (Finsupp.{u3, 0} σ Nat Nat.hasZero) -> M) (AddMonoidHom.hasCoeToFun.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MvPolynomial.weightedDegree'.{u2, u3} M σ _inst_2 w) d) n) (fun (a : Finsupp.{u3, 0} σ Nat Nat.hasZero) => _inst_3 (coeFn.{max (succ u2) (succ u3), max (succ u3) (succ u2)} (AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (fun (_x : AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) => (Finsupp.{u3, 0} σ Nat Nat.hasZero) -> M) (AddMonoidHom.hasCoeToFun.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M 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(CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u3 u1} 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.{u3, 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 u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) 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σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} 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, u3} R σ _inst_1 d) (MvPolynomial.coeff.{u1, u3} R σ _inst_1 d φ)))
 but is expected to have type
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(CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.{u2, u3} σ R _inst_1) (fun (a : MvPolynomial.{u2, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u2, u3} σ R _inst_1) => MvPolynomial.{u2, u3} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u3, u3, max u2 u3, max u2 u3} R R (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.weightedHomogeneousComponent.{u3, u1, u2} R M _inst_1 σ _inst_2 w n) φ) (Finset.sum.{max u3 u2, u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (Finset.filter.{u2} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (d : Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) d) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (AddMonoidHom.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) a) (AddHomClass.toFunLike.{max u1 u2, u2, u1} (AddMonoidHom.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (AddZeroClass.toAdd.{u2} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (AddMonoidHomClass.toAddHomClass.{max u1 u2, u2, u1} (AddMonoidHom.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (AddMonoidHom.addMonoidHomClass.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))))) (MvPolynomial.weightedDegree'.{u1, u2} M σ _inst_2 w) d) n) (fun (a : Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Classical.propDecidable ((fun (d : Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) d) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (AddMonoidHom.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) a) (AddHomClass.toFunLike.{max u1 u2, u2, u1} (AddMonoidHom.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (AddZeroClass.toAdd.{u2} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (AddMonoidHomClass.toAddHomClass.{max u1 u2, u2, u1} (AddMonoidHom.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (AddMonoidHom.addMonoidHomClass.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))))) (MvPolynomial.weightedDegree'.{u1, u2} M σ _inst_2 w) d) n) a)) (MvPolynomial.support.{u3, u2} R σ _inst_1 φ)) (fun (d : Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => FunLike.coe.{max (succ u2) (succ u3), succ u3, max (succ u2) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u2} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u2, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u2, u3} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u2 u3} R R R (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.monomial.{u3, u2} R σ _inst_1 d) (MvPolynomial.coeff.{u3, u2} R σ _inst_1 d φ)))
+  forall {R : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommSemiring.{u2} R] {σ : Type.{u1}} [_inst_2 : AddCommMonoid.{u3} M] {w : σ -> M} (n : M) (φ : MvPolynomial.{u1, u2} σ R _inst_1) [_inst_3 : DecidableEq.{succ u3} M], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u2 u1, max u2 u1} 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))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} 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(x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} R R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _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))) (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.weightedHomogeneousComponent.{u2, u3, u1} R M _inst_1 σ _inst_2 w n) φ) (Finset.sum.{max u2 u1, u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) 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(AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_2))))) (MvPolynomial.weightedDegree'.{u3, u1} M σ _inst_2 w) d) n) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => _inst_3 (FunLike.coe.{max (succ u3) (succ u1), succ u1, succ u3} (AddMonoidHom.{u1, u3} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_2))) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (_x : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) _x) (AddHomClass.toFunLike.{max u3 u1, u1, u3} (AddMonoidHom.{u1, u3} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_2))) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (AddZeroClass.toAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_2))) (AddMonoidHomClass.toAddHomClass.{max u3 u1, u1, u3} (AddMonoidHom.{u1, u3} (Finsupp.{u1, 0} σ Nat 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(LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} 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 u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (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 (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{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 u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (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) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d φ)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_homogeneous_component_apply MvPolynomial.weightedHomogeneousComponent_applyₓ'. -/
 theorem weightedHomogeneousComponent_apply [DecidableEq M] :
     weightedHomogeneousComponent w n φ =
@@ -634,7 +634,7 @@ variable {w}
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] {w : σ -> M} [_inst_3 : DecidableEq.{succ u2} M] (m : M) (n : M) (p : MvPolynomial.{u3, u1} σ R _inst_1), (Membership.Mem.{max u3 u1, max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Submodule.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (SetLike.hasMem.{max u3 u1, max u3 u1} 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(Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) p (MvPolynomial.weightedHomogeneousSubmodule.{u1, u2, u3} R M _inst_1 σ _inst_2 w n)) -> (Eq.{max (succ u3) (succ u1)} (MvPolynomial.{u3, u1} σ R _inst_1) (coeFn.{succ (max u3 u1), succ (max u3 u1)} (LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) 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_inst_1)))) (fun (_x : LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, max u3 u1, max u3 u1} R R (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} 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.weightedHomogeneousComponent.{u1, u2, u3} R M _inst_1 σ _inst_2 w m) p) (ite.{max (succ 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 but is expected to have type
-  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u1} M] {w : σ -> M} (_inst_3 : M) (m : M) (n : MvPolynomial.{u3, u2} σ R _inst_1), (Membership.mem.{max u2 u3, max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (Submodule.{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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (SetLike.instMembership.{max u2 u3, max u2 u3} (Submodule.{u2, max u2 u3} 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u3} (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) n (MvPolynomial.weightedHomogeneousSubmodule.{u2, u1, u3} R M _inst_1 σ _inst_2 w m)) -> (Eq.{max (succ u2) (succ u3)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u3, u2} σ R _inst_1) => MvPolynomial.{u3, u2} σ R _inst_1) n) (FunLike.coe.{max (succ u3) (succ u2), max (succ u3) (succ u2), max (succ u3) (succ u2)} (LinearMap.{u2, u2, max u2 u3, max u2 u3} 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))) (MvPolynomial.{u3, u2} σ R _inst_1) (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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.{u3, u2} σ R _inst_1) (fun (a : MvPolynomial.{u3, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u3, u2} σ R _inst_1) => MvPolynomial.{u3, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, max u3 u2, max u3 u2} R R (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} 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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.module.{u2, u2, u3} 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.weightedHomogeneousComponent.{u2, u1, u3} R M _inst_1 σ _inst_2 w _inst_3) n) (ite.{max (succ u2) (succ u3)} (MvPolynomial.{u3, u2} σ R _inst_1) (Eq.{succ u1} M _inst_3 m) (Classical.propDecidable (Eq.{succ u1} M _inst_3 m)) n (OfNat.ofNat.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) 0 (Zero.toOfNat0.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (CommMonoidWithZero.toZero.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toCommMonoidWithZero.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)))))))
+  forall {R : Type.{u1}} {M : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u2}} [_inst_2 : AddCommMonoid.{u3} M] {w : σ -> M} [_inst_3 : DecidableEq.{succ u3} M] (m : M) (n : M) (p : MvPolynomial.{u2, u1} σ R _inst_1), (Membership.mem.{max u1 u2, max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Submodule.{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 u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _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)))) (SetLike.instMembership.{max u1 u2, max u1 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(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.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))))) p (MvPolynomial.weightedHomogeneousSubmodule.{u1, u3, u2} R M _inst_1 σ _inst_2 w n)) -> (Eq.{max (succ u1) (succ u2)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u2, u1} σ R _inst_1) => MvPolynomial.{u2, u1} σ R _inst_1) p) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{u1, u1, max u1 u2, 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))) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R 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(CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.{u2, u1} σ R _inst_1) (fun (_x : MvPolynomial.{u2, u1} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u2, u1} σ R _inst_1) => MvPolynomial.{u2, u1} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, max u2 u1, max u2 u1} R R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} 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 u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _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))))) (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))) (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.weightedHomogeneousComponent.{u1, u3, u2} R M _inst_1 σ _inst_2 w m) p) (ite.{max (succ u1) (succ u2)} (MvPolynomial.{u2, u1} σ R _inst_1) (Eq.{succ u3} M m n) (_inst_3 m n) p (OfNat.ofNat.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (Zero.toOfNat0.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommMonoidWithZero.toZero.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toCommMonoidWithZero.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_homogeneous_component_weighted_homogeneous_polynomial MvPolynomial.weightedHomogeneousComponent_weighted_homogeneous_polynomialₓ'. -/
 /-- The weighted homogeneous components of a weighted homogeneous polynomial. -/
 theorem weightedHomogeneousComponent_weighted_homogeneous_polynomial [DecidableEq M] (m n : M)

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

@@ -302,7 +302,7 @@ theorem isWeightedHomogeneous_of_total_degree_zero [SemilatticeSup M] [OrderBot
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] (w : σ -> M) (r : R), MvPolynomial.IsWeightedHomogeneous.{u1, u2, u3} R M _inst_1 σ _inst_2 w (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (MvPolynomial.C.{u1, u3} R σ _inst_1) r) (OfNat.ofNat.{u2} M 0 (OfNat.mk.{u2} M 0 (Zero.zero.{u2} M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))))))
 but is expected to have type
-  forall {R : Type.{u3}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u3} R] {σ : Type.{u1}} [_inst_2 : AddCommMonoid.{u2} M] (w : σ -> M) (r : R), MvPolynomial.IsWeightedHomogeneous.{u3, u2, u1} R M _inst_1 σ _inst_2 w (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} 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)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} 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)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (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))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} 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)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (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)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} 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)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} 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))) (RingHom.instRingHomClassRingHom.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} 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))))))) (MvPolynomial.C.{u3, u1} R σ _inst_1) r) (OfNat.ofNat.{u2} M 0 (Zero.toOfNat0.{u2} M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))))
+  forall {R : Type.{u3}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u3} R] {σ : Type.{u1}} [_inst_2 : AddCommMonoid.{u2} M] (w : σ -> M) (r : R), MvPolynomial.IsWeightedHomogeneous.{u3, u2, u1} R M _inst_1 σ _inst_2 w (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} 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)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} 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)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (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))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} 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)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (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)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} 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)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} 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))) (RingHom.instRingHomClassRingHom.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} 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))))))) (MvPolynomial.C.{u3, u1} R σ _inst_1) r) (OfNat.ofNat.{u2} M 0 (Zero.toOfNat0.{u2} M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.is_weighted_homogeneous_C MvPolynomial.isWeightedHomogeneous_Cₓ'. -/
 /-- Constant polynomials are weighted homogeneous of degree 0. -/
 theorem isWeightedHomogeneous_C (w : σ → M) (r : R) :
@@ -536,7 +536,7 @@ theorem weightedHomogeneousComponent_isWeightedHomogeneous :
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] {w : σ -> M} (φ : MvPolynomial.{u3, u1} σ R _inst_1) (n : M) (r : R), Eq.{max (succ u3) (succ u1)} (MvPolynomial.{u3, u1} σ R _inst_1) (coeFn.{succ (max u3 u1), succ (max u3 u1)} (LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, max u3 u1, max u3 u1} R R (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} 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.weightedHomogeneousComponent.{u1, u2, u3} R M _inst_1 σ _inst_2 w n) (HMul.hMul.{max u3 u1, max u3 u1, max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (instHMul.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Distrib.toHasMul.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} 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 but is expected to have type
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(MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.module.{u2, u2, u3} 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.weightedHomogeneousComponent.{u2, u1, u3} R M _inst_1 σ _inst_2 w n) φ))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_homogeneous_component_C_mul MvPolynomial.weightedHomogeneousComponent_C_mulₓ'. -/
 @[simp]
 theorem weightedHomogeneousComponent_C_mul (n : M) (r : R) :
@@ -666,7 +666,7 @@ variable [CanonicallyOrderedAddMonoid M] {w : σ → M} (φ : MvPolynomial σ R)
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : CanonicallyOrderedAddMonoid.{u2} M] {w : σ -> M} (φ : MvPolynomial.{u3, u1} σ R _inst_1) [_inst_3 : NoZeroSMulDivisors.{0, u2} Nat M Nat.hasZero (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M (CanonicallyOrderedAddMonoid.toOrderedAddCommMonoid.{u2} M _inst_2))))) (AddMonoid.SMul.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M (CanonicallyOrderedAddMonoid.toOrderedAddCommMonoid.{u2} M _inst_2))))], (forall (i : σ), Ne.{succ u2} M (w i) (OfNat.ofNat.{u2} M 0 (OfNat.mk.{u2} M 0 (Zero.zero.{u2} M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M (CanonicallyOrderedAddMonoid.toOrderedAddCommMonoid.{u2} M _inst_2))))))))) -> (Eq.{max (succ u3) (succ u1)} (MvPolynomial.{u3, u1} σ R _inst_1) (coeFn.{succ (max u3 u1), succ (max u3 u1)} (LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, max u3 u1, max u3 u1} R R (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} 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.weightedHomogeneousComponent.{u1, u2, u3} R M _inst_1 σ (OrderedAddCommMonoid.toAddCommMonoid.{u2} M (CanonicallyOrderedAddMonoid.toOrderedAddCommMonoid.{u2} M _inst_2)) w (OfNat.ofNat.{u2} M 0 (OfNat.mk.{u2} M 0 (Zero.zero.{u2} M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M (CanonicallyOrderedAddMonoid.toOrderedAddCommMonoid.{u2} M _inst_2))))))))) φ) (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (MvPolynomial.C.{u1, u3} R σ _inst_1) (MvPolynomial.coeff.{u1, u3} R σ _inst_1 (OfNat.ofNat.{u3} (Finsupp.{u3, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u3} (Finsupp.{u3, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u3} (Finsupp.{u3, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u3, 0} σ Nat Nat.hasZero)))) φ)))
 but is expected to have type
-  forall {R : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommSemiring.{u2} R] {σ : Type.{u1}} [_inst_2 : CanonicallyOrderedAddMonoid.{u3} M] {w : σ -> M} (φ : MvPolynomial.{u1, u2} σ R _inst_1) [_inst_3 : NoZeroSMulDivisors.{0, u3} Nat M (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (OrderedAddCommMonoid.toAddCommMonoid.{u3} M (CanonicallyOrderedAddMonoid.toOrderedAddCommMonoid.{u3} M _inst_2)))) (AddMonoid.SMul.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (OrderedAddCommMonoid.toAddCommMonoid.{u3} M (CanonicallyOrderedAddMonoid.toOrderedAddCommMonoid.{u3} M _inst_2))))], (forall (i : σ), Ne.{succ u3} M (w i) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (OrderedAddCommMonoid.toAddCommMonoid.{u3} M (CanonicallyOrderedAddMonoid.toOrderedAddCommMonoid.{u3} M _inst_2))))))) -> (Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u2 u1, max u2 u1} 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))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _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))) (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)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} R R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _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))) (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.weightedHomogeneousComponent.{u2, u3, u1} R M _inst_1 σ (OrderedAddCommMonoid.toAddCommMonoid.{u3} M (CanonicallyOrderedAddMonoid.toOrderedAddCommMonoid.{u3} M _inst_2)) w (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (OrderedAddCommMonoid.toAddCommMonoid.{u3} M (CanonicallyOrderedAddMonoid.toOrderedAddCommMonoid.{u3} M _inst_2))))))) φ) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{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 u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{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 u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))) φ)))
+  forall {R : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommSemiring.{u2} R] {σ : Type.{u1}} [_inst_2 : CanonicallyOrderedAddMonoid.{u3} M] {w : σ -> M} (φ : MvPolynomial.{u1, u2} σ R _inst_1) [_inst_3 : NoZeroSMulDivisors.{0, u3} Nat M (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (OrderedAddCommMonoid.toAddCommMonoid.{u3} M (CanonicallyOrderedAddMonoid.toOrderedAddCommMonoid.{u3} M _inst_2)))) (AddMonoid.SMul.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (OrderedAddCommMonoid.toAddCommMonoid.{u3} M (CanonicallyOrderedAddMonoid.toOrderedAddCommMonoid.{u3} M _inst_2))))], (forall (i : σ), Ne.{succ u3} M (w i) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (OrderedAddCommMonoid.toAddCommMonoid.{u3} M (CanonicallyOrderedAddMonoid.toOrderedAddCommMonoid.{u3} M _inst_2))))))) -> (Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u2 u1, max u2 u1} 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))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _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))) (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)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} R R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _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))) (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.weightedHomogeneousComponent.{u2, u3, u1} R M _inst_1 σ (OrderedAddCommMonoid.toAddCommMonoid.{u3} M (CanonicallyOrderedAddMonoid.toOrderedAddCommMonoid.{u3} M _inst_2)) w (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (OrderedAddCommMonoid.toAddCommMonoid.{u3} M (CanonicallyOrderedAddMonoid.toOrderedAddCommMonoid.{u3} M _inst_2))))))) φ) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{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 u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{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 u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))) φ)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_homogeneous_component_zero MvPolynomial.weightedHomogeneousComponent_zeroₓ'. -/
 /-- If `M` is a `canonically_ordered_add_monoid`, then the `weighted_homogeneous_component`
   of weighted degree `0` of a polynomial is its constant coefficient. -/

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

@@ -267,7 +267,7 @@ theorem weightedHomogeneousSubmodule_mul (w : σ → M) (m n : M) :
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] (w : σ -> M) (d : Finsupp.{u3, 0} σ Nat Nat.hasZero) (r : R) {m : M}, (Eq.{succ u2} M (coeFn.{max (succ u2) (succ u3), max (succ u3) (succ u2)} (AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (fun (_x : AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) => (Finsupp.{u3, 0} σ Nat Nat.hasZero) -> M) (AddMonoidHom.hasCoeToFun.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MvPolynomial.weightedDegree'.{u2, u3} M σ _inst_2 w) d) m) -> (MvPolynomial.IsWeightedHomogeneous.{u1, u2, u3} R M _inst_1 σ _inst_2 w (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (LinearMap.{u1, u1, u1, max u3 u1} 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.{u3, 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 u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u3 u1} 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.{u3, 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 u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u3 u1} R R R (MvPolynomial.{u3, 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 u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} 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, u3} R σ _inst_1 d) r) m)
 but is expected to have type
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] (w : σ -> M) (d : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R) {m : M}, (Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) d) (FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u2} (AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (_x : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) _x) (AddHomClass.toFunLike.{max u2 u3, u3, u2} (AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (AddZeroClass.toAdd.{u3} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (AddMonoidHomClass.toAddHomClass.{max u2 u3, u3, u2} (AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (AddMonoidHom.addMonoidHomClass.{u3, u2} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))))) (MvPolynomial.weightedDegree'.{u2, u3} M σ _inst_2 w) d) m) -> (MvPolynomial.IsWeightedHomogeneous.{u1, u2, u3} R M _inst_1 σ _inst_2 w (FunLike.coe.{max (succ u3) (succ u1), succ u1, max (succ u3) (succ u1)} (LinearMap.{u1, u1, u1, max u1 u3} 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.{u3, 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 u3} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u3, u1} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, max u3 u1} R R R (MvPolynomial.{u3, 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 u3} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} 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, u3} R σ _inst_1 d) r) m)
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] (w : σ -> M) (d : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R) {m : M}, (Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) d) (FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u2} (AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (_x : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) _x) (AddHomClass.toFunLike.{max u2 u3, u3, u2} (AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (AddZeroClass.toAdd.{u3} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (AddMonoidHomClass.toAddHomClass.{max u2 u3, u3, u2} (AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (AddMonoidHom.addMonoidHomClass.{u3, u2} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))))) (MvPolynomial.weightedDegree'.{u2, u3} M σ _inst_2 w) d) m) -> (MvPolynomial.IsWeightedHomogeneous.{u1, u2, u3} R M _inst_1 σ _inst_2 w (FunLike.coe.{max (succ u3) (succ u1), succ u1, max (succ u3) (succ u1)} (LinearMap.{u1, u1, u1, max u1 u3} 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.{u3, 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 u3} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u3, u1} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, max u3 u1} R R R (MvPolynomial.{u3, 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 u3} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} 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, u3} R σ _inst_1 d) r) m)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.is_weighted_homogeneous_monomial MvPolynomial.isWeightedHomogeneous_monomialₓ'. -/
 /-- Monomials are weighted homogeneous. -/
 theorem isWeightedHomogeneous_monomial (w : σ → M) (d : σ →₀ ℕ) (r : R) {m : M}
@@ -496,7 +496,7 @@ variable {w : σ → M} (n : M) (φ ψ : MvPolynomial σ R)
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] {w : σ -> M} (n : M) (φ : MvPolynomial.{u3, u1} σ R _inst_1) [_inst_3 : DecidableEq.{succ u2} M] (d : Finsupp.{u3, 0} σ Nat Nat.hasZero), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u3} R σ _inst_1 d (coeFn.{succ (max u3 u1), succ (max u3 u1)} (LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, max u3 u1, max u3 u1} R R (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} 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.weightedHomogeneousComponent.{u1, u2, u3} R M _inst_1 σ _inst_2 w n) φ)) (ite.{succ u1} R (Eq.{succ u2} M (coeFn.{max (succ u2) (succ u3), max (succ u3) (succ u2)} (AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (fun (_x : AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) => (Finsupp.{u3, 0} σ Nat Nat.hasZero) -> M) (AddMonoidHom.hasCoeToFun.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MvPolynomial.weightedDegree'.{u2, u3} M σ _inst_2 w) d) n) (_inst_3 (coeFn.{max (succ u2) (succ u3), max (succ u3) (succ u2)} (AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (fun (_x : AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) => (Finsupp.{u3, 0} σ Nat Nat.hasZero) -> M) (AddMonoidHom.hasCoeToFun.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MvPolynomial.weightedDegree'.{u2, u3} M σ _inst_2 w) d) n) (MvPolynomial.coeff.{u1, u3} R σ _inst_1 d φ) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
 but is expected to have type
-  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u1} M] {w : σ -> M} (n : M) (φ : MvPolynomial.{u3, u2} σ R _inst_1) (_inst_3 : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u3} R σ _inst_1 _inst_3 (FunLike.coe.{max (succ u3) (succ u2), max (succ u3) (succ u2), max (succ u3) (succ u2)} (LinearMap.{u2, u2, max u2 u3, max u2 u3} 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))) (MvPolynomial.{u3, u2} σ R _inst_1) (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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.{u3, u2} σ R _inst_1) (fun (a : MvPolynomial.{u3, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u3, u2} σ R _inst_1) => MvPolynomial.{u3, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, max u3 u2, max u3 u2} R R (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} 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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.module.{u2, u2, u3} 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.weightedHomogeneousComponent.{u2, u1, u3} R M _inst_1 σ _inst_2 w n) φ)) (ite.{succ u2} R (Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) _inst_3) (FunLike.coe.{max (succ u1) (succ u3), succ u3, succ u1} (AddMonoidHom.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) a) (AddHomClass.toFunLike.{max u1 u3, u3, u1} (AddMonoidHom.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (AddZeroClass.toAdd.{u3} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (AddMonoidHomClass.toAddHomClass.{max u1 u3, u3, u1} (AddMonoidHom.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (AddMonoidHom.addMonoidHomClass.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))))) (MvPolynomial.weightedDegree'.{u1, u3} M σ _inst_2 w) _inst_3) n) (Classical.propDecidable (Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) _inst_3) (FunLike.coe.{max (succ u1) (succ u3), succ u3, succ u1} (AddMonoidHom.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) a) (AddHomClass.toFunLike.{max u1 u3, u3, u1} (AddMonoidHom.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (AddZeroClass.toAdd.{u3} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (AddMonoidHomClass.toAddHomClass.{max u1 u3, u3, u1} (AddMonoidHom.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (AddMonoidHom.addMonoidHomClass.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))))) (MvPolynomial.weightedDegree'.{u1, u3} M σ _inst_2 w) _inst_3) n)) (MvPolynomial.coeff.{u2, u3} R σ _inst_1 _inst_3 φ) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
+  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u1} M] {w : σ -> M} (n : M) (φ : MvPolynomial.{u3, u2} σ R _inst_1) (_inst_3 : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u3} R σ _inst_1 _inst_3 (FunLike.coe.{max (succ u3) (succ u2), max (succ u3) (succ u2), max (succ u3) (succ u2)} (LinearMap.{u2, u2, max u2 u3, max u2 u3} 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))) (MvPolynomial.{u3, u2} σ R _inst_1) (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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.{u3, u2} σ R _inst_1) (fun (a : MvPolynomial.{u3, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u3, u2} σ R _inst_1) => MvPolynomial.{u3, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, max u3 u2, max u3 u2} R R (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} 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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.module.{u2, u2, u3} 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.weightedHomogeneousComponent.{u2, u1, u3} R M _inst_1 σ _inst_2 w n) φ)) (ite.{succ u2} R (Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) _inst_3) (FunLike.coe.{max (succ u1) (succ u3), succ u3, succ u1} (AddMonoidHom.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) a) (AddHomClass.toFunLike.{max u1 u3, u3, u1} (AddMonoidHom.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (AddZeroClass.toAdd.{u3} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (AddMonoidHomClass.toAddHomClass.{max u1 u3, u3, u1} (AddMonoidHom.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (AddMonoidHom.addMonoidHomClass.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))))) (MvPolynomial.weightedDegree'.{u1, u3} M σ _inst_2 w) _inst_3) n) (Classical.propDecidable (Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) _inst_3) (FunLike.coe.{max (succ u1) (succ u3), succ u3, succ u1} (AddMonoidHom.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) a) (AddHomClass.toFunLike.{max u1 u3, u3, u1} (AddMonoidHom.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (AddZeroClass.toAdd.{u3} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (AddMonoidHomClass.toAddHomClass.{max u1 u3, u3, u1} (AddMonoidHom.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (AddMonoidHom.addMonoidHomClass.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))))) (MvPolynomial.weightedDegree'.{u1, u3} M σ _inst_2 w) _inst_3) n)) (MvPolynomial.coeff.{u2, u3} R σ _inst_1 _inst_3 φ) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_weighted_homogeneous_component MvPolynomial.coeff_weightedHomogeneousComponentₓ'. -/
 theorem coeff_weightedHomogeneousComponent [DecidableEq M] (d : σ →₀ ℕ) :
     coeff d (weightedHomogeneousComponent w n φ) =
@@ -508,7 +508,7 @@ theorem coeff_weightedHomogeneousComponent [DecidableEq M] (d : σ →₀ ℕ) :
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] {w : σ -> M} (n : M) (φ : MvPolynomial.{u3, u1} σ R _inst_1) [_inst_3 : DecidableEq.{succ u2} M], Eq.{max (succ u3) (succ u1)} (MvPolynomial.{u3, u1} σ R _inst_1) (coeFn.{succ (max u3 u1), succ (max u3 u1)} (LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, max u3 u1, max u3 u1} R R (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} 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.weightedHomogeneousComponent.{u1, u2, u3} R M _inst_1 σ _inst_2 w n) φ) (Finset.sum.{max u3 u1, u3} (MvPolynomial.{u3, u1} σ R _inst_1) (Finsupp.{u3, 0} σ Nat Nat.hasZero) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Finset.filter.{u3} (Finsupp.{u3, 0} σ Nat Nat.hasZero) (fun (d : Finsupp.{u3, 0} σ Nat Nat.hasZero) => Eq.{succ u2} M (coeFn.{max (succ u2) (succ u3), max (succ u3) (succ u2)} (AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (fun (_x : AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) => (Finsupp.{u3, 0} σ Nat Nat.hasZero) -> M) (AddMonoidHom.hasCoeToFun.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat 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 but is expected to have type
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(AddCommMonoid.toAddMonoid.{u1} M _inst_2))))) (MvPolynomial.weightedDegree'.{u1, u2} M σ _inst_2 w) d) n) a)) (MvPolynomial.support.{u3, u2} R σ _inst_1 φ)) (fun (d : Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => FunLike.coe.{max (succ u2) (succ u3), succ u3, max (succ u2) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u2} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u2, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) 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_inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.monomial.{u3, u2} R σ _inst_1 d) (MvPolynomial.coeff.{u3, u2} R σ _inst_1 d φ)))
+  forall {R : Type.{u3}} {M : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {σ : Type.{u2}} [_inst_2 : AddCommMonoid.{u1} M] {w : σ -> M} (n : M) (φ : MvPolynomial.{u2, u3} σ R _inst_1), Eq.{max (succ u3) (succ u2)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u2, u3} σ R _inst_1) => MvPolynomial.{u2, u3} σ R _inst_1) φ) (FunLike.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u3, u3, max u3 u2, max u3 u2} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.{u2, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) 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_inst_1) => MvPolynomial.{u2, u3} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u3, u3, max u2 u3, max u2 u3} R R (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.weightedHomogeneousComponent.{u3, u1, u2} R M _inst_1 σ _inst_2 w n) φ) (Finset.sum.{max u3 u2, u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) 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(AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (AddMonoidHomClass.toAddHomClass.{max u1 u2, u2, u1} (AddMonoidHom.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (AddMonoidHom.addMonoidHomClass.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))))) (MvPolynomial.weightedDegree'.{u1, u2} M σ _inst_2 w) d) n) (fun (a : Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Classical.propDecidable ((fun (d : Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) d) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (AddMonoidHom.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) a) (AddHomClass.toFunLike.{max u1 u2, u2, u1} (AddMonoidHom.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (AddZeroClass.toAdd.{u2} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) 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(AddCommMonoid.toAddMonoid.{u1} M _inst_2))))) (MvPolynomial.weightedDegree'.{u1, u2} M σ _inst_2 w) d) n) a)) (MvPolynomial.support.{u3, u2} R σ _inst_1 φ)) (fun (d : Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => FunLike.coe.{max (succ u2) (succ u3), succ u3, max (succ u2) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u2} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u2, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) 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 Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_homogeneous_component_apply MvPolynomial.weightedHomogeneousComponent_applyₓ'. -/
 theorem weightedHomogeneousComponent_apply [DecidableEq M] :
     weightedHomogeneousComponent w n φ =
@@ -520,7 +520,7 @@ theorem weightedHomogeneousComponent_apply [DecidableEq M] :
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] {w : σ -> M} (n : M) (φ : MvPolynomial.{u3, u1} σ R _inst_1), MvPolynomial.IsWeightedHomogeneous.{u1, u2, u3} R M _inst_1 σ _inst_2 w (coeFn.{succ (max u3 u1), succ (max u3 u1)} (LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, max u3 u1, max u3 u1} R R (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} 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.weightedHomogeneousComponent.{u1, u2, u3} R M _inst_1 σ _inst_2 w n) φ) n
 but is expected to have type
-  forall {R : Type.{u3}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u3} R] {σ : Type.{u1}} [_inst_2 : AddCommMonoid.{u2} M] {w : σ -> M} (n : M) (φ : MvPolynomial.{u1, u3} σ R _inst_1), MvPolynomial.IsWeightedHomogeneous.{u3, u2, u1} R M _inst_1 σ _inst_2 w (FunLike.coe.{max (succ u1) (succ u3), max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{u3, u3, max u3 u1, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) (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 u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _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 u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u1, u3} σ R _inst_1) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max u1 u3, max u1 u3} R R (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} 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 u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _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 u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.weightedHomogeneousComponent.{u3, u2, u1} R M _inst_1 σ _inst_2 w n) φ) n
+  forall {R : Type.{u3}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u3} R] {σ : Type.{u1}} [_inst_2 : AddCommMonoid.{u2} M] {w : σ -> M} (n : M) (φ : MvPolynomial.{u1, u3} σ R _inst_1), MvPolynomial.IsWeightedHomogeneous.{u3, u2, u1} R M _inst_1 σ _inst_2 w (FunLike.coe.{max (succ u1) (succ u3), max (succ u1) (succ u3), max (succ u1) (succ u3)} (LinearMap.{u3, u3, max u3 u1, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) (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 u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _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 u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u1, u3} σ R _inst_1) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max u1 u3, max u1 u3} R R (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} 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 u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _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 u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.weightedHomogeneousComponent.{u3, u2, u1} R M _inst_1 σ _inst_2 w n) φ) n
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_homogeneous_component_is_weighted_homogeneous MvPolynomial.weightedHomogeneousComponent_isWeightedHomogeneousₓ'. -/
 /-- The `n` weighted homogeneous component of a polynomial is weighted homogeneous of
 weighted degree `n`. -/
@@ -536,7 +536,7 @@ theorem weightedHomogeneousComponent_isWeightedHomogeneous :
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] {w : σ -> M} (φ : MvPolynomial.{u3, u1} σ R _inst_1) (n : M) (r : R), Eq.{max (succ u3) (succ u1)} (MvPolynomial.{u3, u1} σ R _inst_1) (coeFn.{succ (max u3 u1), succ (max u3 u1)} (LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, max u3 u1, max u3 u1} R R (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) 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 but is expected to have type
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(Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u3, u2} σ R _inst_1) (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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.{u3, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u3, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u3, u2} σ R _inst_1) => MvPolynomial.{u3, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u3 u2, max u3 u2} R R (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} 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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.module.{u2, u2, u3} 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.weightedHomogeneousComponent.{u2, u1, u3} R M _inst_1 σ _inst_2 w n) φ))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_homogeneous_component_C_mul MvPolynomial.weightedHomogeneousComponent_C_mulₓ'. -/
 @[simp]
 theorem weightedHomogeneousComponent_C_mul (n : M) (r : R) :
@@ -548,7 +548,7 @@ theorem weightedHomogeneousComponent_C_mul (n : M) (r : R) :
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] {w : σ -> M} (n : M) (φ : MvPolynomial.{u3, u1} σ R _inst_1), (forall (d : Finsupp.{u3, 0} σ Nat Nat.hasZero), (Membership.Mem.{u3, u3} (Finsupp.{u3, 0} σ Nat Nat.hasZero) (Finset.{u3} (Finsupp.{u3, 0} σ Nat Nat.hasZero)) (Finset.hasMem.{u3} (Finsupp.{u3, 0} σ Nat Nat.hasZero)) d (MvPolynomial.support.{u1, u3} R σ _inst_1 φ)) -> (Ne.{succ u2} M (coeFn.{max (succ u2) (succ u3), max (succ u3) (succ u2)} (AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (fun (_x : AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) => (Finsupp.{u3, 0} σ Nat Nat.hasZero) -> M) (AddMonoidHom.hasCoeToFun.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MvPolynomial.weightedDegree'.{u2, u3} M σ _inst_2 w) d) n)) -> (Eq.{max (succ u3) (succ u1)} (MvPolynomial.{u3, u1} σ R _inst_1) (coeFn.{succ (max u3 u1), succ (max u3 u1)} (LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, max u3 u1, max u3 u1} R R (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} 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.weightedHomogeneousComponent.{u1, u2, u3} R M _inst_1 σ _inst_2 w n) φ) (OfNat.ofNat.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) 0 (OfNat.mk.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) 0 (Zero.zero.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))))))))
 but is expected to have type
-  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u1} M] {w : σ -> M} (n : M) (φ : MvPolynomial.{u3, u2} σ R _inst_1), (forall (d : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), (Membership.mem.{u3, u3} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u3} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instMembershipFinset.{u3} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) d (MvPolynomial.support.{u2, u3} R σ _inst_1 φ)) -> (Ne.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) d) (FunLike.coe.{max (succ u1) (succ u3), succ u3, succ u1} (AddMonoidHom.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (_x : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) _x) (AddHomClass.toFunLike.{max u1 u3, u3, u1} (AddMonoidHom.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (AddZeroClass.toAdd.{u3} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (AddMonoidHomClass.toAddHomClass.{max u1 u3, u3, u1} (AddMonoidHom.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (AddMonoidHom.addMonoidHomClass.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))))) (MvPolynomial.weightedDegree'.{u1, u3} M σ _inst_2 w) d) n)) -> (Eq.{max (succ u2) (succ u3)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u3, u2} σ R _inst_1) => MvPolynomial.{u3, u2} σ R _inst_1) φ) (FunLike.coe.{max (succ u3) (succ u2), max (succ u3) (succ u2), max (succ u3) (succ u2)} (LinearMap.{u2, u2, max u2 u3, max u2 u3} 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))) (MvPolynomial.{u3, u2} σ R _inst_1) (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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.{u3, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u3, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u3, u2} σ R _inst_1) => MvPolynomial.{u3, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u3 u2, max u3 u2} R R (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} 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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.module.{u2, u2, u3} 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.weightedHomogeneousComponent.{u2, u1, u3} R M _inst_1 σ _inst_2 w n) φ) (OfNat.ofNat.{max u2 u3} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u3, u2} σ R _inst_1) => MvPolynomial.{u3, u2} σ R _inst_1) φ) 0 (Zero.toOfNat0.{max u2 u3} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u3, u2} σ R _inst_1) => MvPolynomial.{u3, u2} σ R _inst_1) φ) (CommMonoidWithZero.toZero.{max u2 u3} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u3, u2} σ R _inst_1) => MvPolynomial.{u3, u2} σ R _inst_1) φ) (CommSemiring.toCommMonoidWithZero.{max u2 u3} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u3, u2} σ R _inst_1) => MvPolynomial.{u3, u2} σ R _inst_1) φ) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))))
+  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u1} M] {w : σ -> M} (n : M) (φ : MvPolynomial.{u3, u2} σ R _inst_1), (forall (d : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), (Membership.mem.{u3, u3} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u3} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instMembershipFinset.{u3} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) d (MvPolynomial.support.{u2, u3} R σ _inst_1 φ)) -> (Ne.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) d) (FunLike.coe.{max (succ u1) (succ u3), succ u3, succ u1} (AddMonoidHom.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (_x : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) _x) (AddHomClass.toFunLike.{max u1 u3, u3, u1} (AddMonoidHom.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (AddZeroClass.toAdd.{u3} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (AddMonoidHomClass.toAddHomClass.{max u1 u3, u3, u1} (AddMonoidHom.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (AddMonoidHom.addMonoidHomClass.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))))) (MvPolynomial.weightedDegree'.{u1, u3} M σ _inst_2 w) d) n)) -> (Eq.{max (succ u2) (succ u3)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u3, u2} σ R _inst_1) => MvPolynomial.{u3, u2} σ R _inst_1) φ) (FunLike.coe.{max (succ u3) (succ u2), max (succ u3) (succ u2), max (succ u3) (succ u2)} (LinearMap.{u2, u2, max u2 u3, max u2 u3} 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))) (MvPolynomial.{u3, u2} σ R _inst_1) (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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.{u3, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u3, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u3, u2} σ R _inst_1) => MvPolynomial.{u3, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u3 u2, max u3 u2} R R (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} 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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.module.{u2, u2, u3} 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.weightedHomogeneousComponent.{u2, u1, u3} R M _inst_1 σ _inst_2 w n) φ) (OfNat.ofNat.{max u2 u3} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u3, u2} σ R _inst_1) => MvPolynomial.{u3, u2} σ R _inst_1) φ) 0 (Zero.toOfNat0.{max u2 u3} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u3, u2} σ R _inst_1) => MvPolynomial.{u3, u2} σ R _inst_1) φ) (CommMonoidWithZero.toZero.{max u2 u3} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u3, u2} σ R _inst_1) => MvPolynomial.{u3, u2} σ R _inst_1) φ) (CommSemiring.toCommMonoidWithZero.{max u2 u3} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u3, u2} σ R _inst_1) => MvPolynomial.{u3, u2} σ R _inst_1) φ) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_homogeneous_component_eq_zero' MvPolynomial.weightedHomogeneousComponent_eq_zero'ₓ'. -/
 theorem weightedHomogeneousComponent_eq_zero'
     (h : ∀ d : σ →₀ ℕ, d ∈ φ.support → weightedDegree' w d ≠ n) :
@@ -565,7 +565,7 @@ theorem weightedHomogeneousComponent_eq_zero'
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] {w : σ -> M} (n : M) (φ : MvPolynomial.{u3, u1} σ R _inst_1) [_inst_3 : SemilatticeSup.{u2} M] [_inst_4 : OrderBot.{u2} M (Preorder.toHasLe.{u2} M (PartialOrder.toPreorder.{u2} M (SemilatticeSup.toPartialOrder.{u2} M _inst_3)))], (LT.lt.{u2} M (Preorder.toHasLt.{u2} M (PartialOrder.toPreorder.{u2} M (SemilatticeSup.toPartialOrder.{u2} M _inst_3))) (MvPolynomial.weightedTotalDegree.{u1, u2, u3} R M _inst_1 σ _inst_2 _inst_3 _inst_4 w φ) n) -> (Eq.{max (succ u3) (succ u1)} (MvPolynomial.{u3, u1} σ R _inst_1) (coeFn.{succ (max u3 u1), succ (max u3 u1)} (LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, max u3 u1, max u3 u1} R R (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} 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.weightedHomogeneousComponent.{u1, u2, u3} R M _inst_1 σ _inst_2 w n) φ) (OfNat.ofNat.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) 0 (OfNat.mk.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) 0 (Zero.zero.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))))))))
 but is expected to have type
-  forall {R : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommSemiring.{u2} R] {σ : Type.{u1}} [_inst_2 : AddCommMonoid.{u3} M] {w : σ -> M} (n : M) (φ : MvPolynomial.{u1, u2} σ R _inst_1) [_inst_3 : SemilatticeSup.{u3} M] [_inst_4 : OrderBot.{u3} M (Preorder.toLE.{u3} M (PartialOrder.toPreorder.{u3} M (SemilatticeSup.toPartialOrder.{u3} M _inst_3)))], (LT.lt.{u3} M (Preorder.toLT.{u3} M (PartialOrder.toPreorder.{u3} M (SemilatticeSup.toPartialOrder.{u3} M _inst_3))) (MvPolynomial.weightedTotalDegree.{u2, u3, u1} R M _inst_1 σ _inst_2 _inst_3 _inst_4 w φ) n) -> (Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u2 u1, max u2 u1} 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))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _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))) (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)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} R R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _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))) (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.weightedHomogeneousComponent.{u2, u3, u1} R M _inst_1 σ _inst_2 w n) φ) (OfNat.ofNat.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) 0 (Zero.toOfNat0.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) (CommMonoidWithZero.toZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) (CommSemiring.toCommMonoidWithZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))
+  forall {R : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommSemiring.{u2} R] {σ : Type.{u1}} [_inst_2 : AddCommMonoid.{u3} M] {w : σ -> M} (n : M) (φ : MvPolynomial.{u1, u2} σ R _inst_1) [_inst_3 : SemilatticeSup.{u3} M] [_inst_4 : OrderBot.{u3} M (Preorder.toLE.{u3} M (PartialOrder.toPreorder.{u3} M (SemilatticeSup.toPartialOrder.{u3} M _inst_3)))], (LT.lt.{u3} M (Preorder.toLT.{u3} M (PartialOrder.toPreorder.{u3} M (SemilatticeSup.toPartialOrder.{u3} M _inst_3))) (MvPolynomial.weightedTotalDegree.{u2, u3, u1} R M _inst_1 σ _inst_2 _inst_3 _inst_4 w φ) n) -> (Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u2 u1, max u2 u1} 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))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _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))) (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)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} R R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _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))) (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.weightedHomogeneousComponent.{u2, u3, u1} R M _inst_1 σ _inst_2 w n) φ) (OfNat.ofNat.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) 0 (Zero.toOfNat0.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) (CommMonoidWithZero.toZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) (CommSemiring.toCommMonoidWithZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_homogeneous_component_eq_zero MvPolynomial.weightedHomogeneousComponent_eq_zeroₓ'. -/
 theorem weightedHomogeneousComponent_eq_zero [SemilatticeSup M] [OrderBot M]
     (h : weightedTotalDegree w φ < n) : weightedHomogeneousComponent w n φ = 0 := by
@@ -583,7 +583,7 @@ theorem weightedHomogeneousComponent_eq_zero [SemilatticeSup M] [OrderBot M]
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] {w : σ -> M} (φ : MvPolynomial.{u3, u1} σ R _inst_1), Set.Finite.{u2} M (Function.support.{u2, max u3 u1} M (MvPolynomial.{u3, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))))) (fun (m : M) => coeFn.{succ (max u3 u1), succ (max u3 u1)} (LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, max u3 u1, max u3 u1} R R (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} 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.weightedHomogeneousComponent.{u1, u2, u3} R M _inst_1 σ _inst_2 w m) φ))
 but is expected to have type
-  forall {R : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommSemiring.{u2} R] {σ : Type.{u1}} [_inst_2 : AddCommMonoid.{u3} M] {w : σ -> M} (φ : MvPolynomial.{u1, u2} σ R _inst_1), Set.Finite.{u3} M (Function.support.{u3, max u2 u1} M ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) (CommMonoidWithZero.toZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) (CommSemiring.toCommMonoidWithZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (fun (m : M) => FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u2 u1, max u2 u1} 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))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _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))) (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)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} R R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _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))) (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.weightedHomogeneousComponent.{u2, u3, u1} R M _inst_1 σ _inst_2 w m) φ))
+  forall {R : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommSemiring.{u2} R] {σ : Type.{u1}} [_inst_2 : AddCommMonoid.{u3} M] {w : σ -> M} (φ : MvPolynomial.{u1, u2} σ R _inst_1), Set.Finite.{u3} M (Function.support.{u3, max u2 u1} M ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) (CommMonoidWithZero.toZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) (CommSemiring.toCommMonoidWithZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (fun (m : M) => FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u2 u1, max u2 u1} 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))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _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))) (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)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} R R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _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))) (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.weightedHomogeneousComponent.{u2, u3, u1} R M _inst_1 σ _inst_2 w m) φ))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_homogeneous_component_finsupp MvPolynomial.weightedHomogeneousComponent_finsuppₓ'. -/
 theorem weightedHomogeneousComponent_finsupp :
     (Function.support fun m => weightedHomogeneousComponent w m φ).Finite :=
@@ -607,7 +607,7 @@ variable (w)
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] (w : σ -> M) (φ : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ (max u3 u1)} (MvPolynomial.{u3, u1} σ R _inst_1) (finsum.{max u3 u1, succ u2} (MvPolynomial.{u3, u1} σ R _inst_1) M (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (fun (m : M) => coeFn.{succ (max u3 u1), succ (max u3 u1)} (LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, max u3 u1, max u3 u1} R R (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} 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.weightedHomogeneousComponent.{u1, u2, u3} R M _inst_1 σ _inst_2 w m) φ)) φ
 but is expected to have type
-  forall {R : Type.{u3}} {M : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {σ : Type.{u2}} [_inst_2 : AddCommMonoid.{u1} M] (w : σ -> M) (φ : MvPolynomial.{u2, u3} σ R _inst_1), Eq.{max (succ u3) (succ u2)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u2, u3} σ R _inst_1) => MvPolynomial.{u2, u3} σ R _inst_1) φ) (finsum.{max u3 u2, succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u2, u3} σ R _inst_1) => MvPolynomial.{u2, u3} σ R _inst_1) φ) M (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u2, u3} σ R _inst_1) => MvPolynomial.{u2, u3} σ R _inst_1) φ) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u2, u3} σ R _inst_1) => MvPolynomial.{u2, u3} σ R _inst_1) φ) (Semiring.toNonAssocSemiring.{max u3 u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u2, u3} σ R _inst_1) => MvPolynomial.{u2, u3} σ R _inst_1) φ) (CommSemiring.toSemiring.{max u3 u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u2, u3} σ R _inst_1) => MvPolynomial.{u2, u3} σ R _inst_1) φ) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (fun (m : M) => FunLike.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u3, u3, max u3 u2, max u3 u2} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.{u2, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.{u2, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u2, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u2, u3} σ R _inst_1) => MvPolynomial.{u2, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max u2 u3, max u2 u3} R R (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.weightedHomogeneousComponent.{u3, u1, u2} R M _inst_1 σ _inst_2 w m) φ)) φ
+  forall {R : Type.{u3}} {M : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {σ : Type.{u2}} [_inst_2 : AddCommMonoid.{u1} M] (w : σ -> M) (φ : MvPolynomial.{u2, u3} σ R _inst_1), Eq.{max (succ u3) (succ u2)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u2, u3} σ R _inst_1) => MvPolynomial.{u2, u3} σ R _inst_1) φ) (finsum.{max u3 u2, succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u2, u3} σ R _inst_1) => MvPolynomial.{u2, u3} σ R _inst_1) φ) M (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u2, u3} σ R _inst_1) => MvPolynomial.{u2, u3} σ R _inst_1) φ) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u2, u3} σ R _inst_1) => MvPolynomial.{u2, u3} σ R _inst_1) φ) (Semiring.toNonAssocSemiring.{max u3 u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u2, u3} σ R _inst_1) => MvPolynomial.{u2, u3} σ R _inst_1) φ) (CommSemiring.toSemiring.{max u3 u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u2, u3} σ R _inst_1) => MvPolynomial.{u2, u3} σ R _inst_1) φ) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (fun (m : M) => FunLike.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u3, u3, max u3 u2, max u3 u2} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.{u2, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.{u2, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u2, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u2, u3} σ R _inst_1) => MvPolynomial.{u2, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max u2 u3, max u2 u3} R R (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.weightedHomogeneousComponent.{u3, u1, u2} R M _inst_1 σ _inst_2 w m) φ)) φ
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.sum_weighted_homogeneous_component MvPolynomial.sum_weightedHomogeneousComponentₓ'. -/
 /-- Every polynomial is the sum of its weighted homogeneous components. -/
 theorem sum_weightedHomogeneousComponent :
@@ -634,7 +634,7 @@ variable {w}
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] {w : σ -> M} [_inst_3 : DecidableEq.{succ u2} M] (m : M) (n : M) (p : MvPolynomial.{u3, u1} σ R _inst_1), (Membership.Mem.{max u3 u1, max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Submodule.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (SetLike.hasMem.{max u3 u1, max u3 u1} (Submodule.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.{u3, u1} σ R _inst_1) (Submodule.setLike.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) p (MvPolynomial.weightedHomogeneousSubmodule.{u1, u2, u3} R M _inst_1 σ _inst_2 w n)) -> (Eq.{max (succ u3) (succ u1)} (MvPolynomial.{u3, u1} σ R _inst_1) (coeFn.{succ (max u3 u1), succ (max u3 u1)} (LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R 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 but is expected to have type
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(CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.{u3, u2} σ R _inst_1) (fun (a : MvPolynomial.{u3, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u3, u2} σ R _inst_1) => MvPolynomial.{u3, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, max u3 u2, max u3 u2} R R (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} 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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.module.{u2, u2, u3} 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.weightedHomogeneousComponent.{u2, u1, u3} R M _inst_1 σ _inst_2 w _inst_3) n) (ite.{max (succ u2) (succ u3)} (MvPolynomial.{u3, u2} σ R _inst_1) (Eq.{succ u1} M _inst_3 m) (Classical.propDecidable (Eq.{succ u1} M _inst_3 m)) n (OfNat.ofNat.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) 0 (Zero.toOfNat0.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (CommMonoidWithZero.toZero.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toCommMonoidWithZero.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)))))))
+  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u1} M] {w : σ -> M} (_inst_3 : M) (m : M) (n : MvPolynomial.{u3, u2} σ R _inst_1), (Membership.mem.{max u2 u3, max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (Submodule.{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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (SetLike.instMembership.{max u2 u3, max u2 u3} (Submodule.{u2, max u2 u3} 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u3} (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) n (MvPolynomial.weightedHomogeneousSubmodule.{u2, u1, u3} R M _inst_1 σ _inst_2 w m)) -> (Eq.{max (succ u2) (succ u3)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u3, u2} σ R _inst_1) => MvPolynomial.{u3, u2} σ R _inst_1) n) (FunLike.coe.{max (succ u3) (succ u2), max (succ u3) (succ u2), max (succ u3) (succ u2)} (LinearMap.{u2, u2, max u2 u3, max u2 u3} 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))) (MvPolynomial.{u3, u2} σ R _inst_1) (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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.{u3, u2} σ R _inst_1) (fun (a : MvPolynomial.{u3, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u3, u2} σ R _inst_1) => MvPolynomial.{u3, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, max u3 u2, max u3 u2} R R (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} 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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.module.{u2, u2, u3} 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.weightedHomogeneousComponent.{u2, u1, u3} R M _inst_1 σ _inst_2 w _inst_3) n) (ite.{max (succ u2) (succ u3)} (MvPolynomial.{u3, u2} σ R _inst_1) (Eq.{succ u1} M _inst_3 m) (Classical.propDecidable (Eq.{succ u1} M _inst_3 m)) n (OfNat.ofNat.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) 0 (Zero.toOfNat0.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (CommMonoidWithZero.toZero.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toCommMonoidWithZero.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)))))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_homogeneous_component_weighted_homogeneous_polynomial MvPolynomial.weightedHomogeneousComponent_weighted_homogeneous_polynomialₓ'. -/
 /-- The weighted homogeneous components of a weighted homogeneous polynomial. -/
 theorem weightedHomogeneousComponent_weighted_homogeneous_polynomial [DecidableEq M] (m n : M)
@@ -666,7 +666,7 @@ variable [CanonicallyOrderedAddMonoid M] {w : σ → M} (φ : MvPolynomial σ R)
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : CanonicallyOrderedAddMonoid.{u2} M] {w : σ -> M} (φ : MvPolynomial.{u3, u1} σ R _inst_1) [_inst_3 : NoZeroSMulDivisors.{0, u2} Nat M Nat.hasZero (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M (CanonicallyOrderedAddMonoid.toOrderedAddCommMonoid.{u2} M _inst_2))))) (AddMonoid.SMul.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M (CanonicallyOrderedAddMonoid.toOrderedAddCommMonoid.{u2} M _inst_2))))], (forall (i : σ), Ne.{succ u2} M (w i) (OfNat.ofNat.{u2} M 0 (OfNat.mk.{u2} M 0 (Zero.zero.{u2} M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M (CanonicallyOrderedAddMonoid.toOrderedAddCommMonoid.{u2} M _inst_2))))))))) -> (Eq.{max (succ u3) (succ u1)} (MvPolynomial.{u3, u1} σ R _inst_1) (coeFn.{succ (max u3 u1), succ (max u3 u1)} (LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, max u3 u1, max u3 u1} R R (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} 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.weightedHomogeneousComponent.{u1, u2, u3} R M _inst_1 σ (OrderedAddCommMonoid.toAddCommMonoid.{u2} M (CanonicallyOrderedAddMonoid.toOrderedAddCommMonoid.{u2} M _inst_2)) w (OfNat.ofNat.{u2} M 0 (OfNat.mk.{u2} M 0 (Zero.zero.{u2} M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M (CanonicallyOrderedAddMonoid.toOrderedAddCommMonoid.{u2} M _inst_2))))))))) φ) (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (MvPolynomial.C.{u1, u3} R σ _inst_1) (MvPolynomial.coeff.{u1, u3} R σ _inst_1 (OfNat.ofNat.{u3} (Finsupp.{u3, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u3} (Finsupp.{u3, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u3} (Finsupp.{u3, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u3, 0} σ Nat Nat.hasZero)))) φ)))
 but is expected to have type
-  forall {R : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommSemiring.{u2} R] {σ : Type.{u1}} [_inst_2 : CanonicallyOrderedAddMonoid.{u3} M] {w : σ -> M} (φ : MvPolynomial.{u1, u2} σ R _inst_1) [_inst_3 : NoZeroSMulDivisors.{0, u3} Nat M (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (OrderedAddCommMonoid.toAddCommMonoid.{u3} M (CanonicallyOrderedAddMonoid.toOrderedAddCommMonoid.{u3} M _inst_2)))) (AddMonoid.SMul.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (OrderedAddCommMonoid.toAddCommMonoid.{u3} M (CanonicallyOrderedAddMonoid.toOrderedAddCommMonoid.{u3} M _inst_2))))], (forall (i : σ), Ne.{succ u3} M (w i) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (OrderedAddCommMonoid.toAddCommMonoid.{u3} M (CanonicallyOrderedAddMonoid.toOrderedAddCommMonoid.{u3} M _inst_2))))))) -> (Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u2 u1, max u2 u1} 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))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) 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(Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))) φ)))
+  forall {R : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommSemiring.{u2} R] {σ : Type.{u1}} [_inst_2 : CanonicallyOrderedAddMonoid.{u3} M] {w : σ -> M} (φ : MvPolynomial.{u1, u2} σ R _inst_1) [_inst_3 : NoZeroSMulDivisors.{0, u3} Nat M (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (OrderedAddCommMonoid.toAddCommMonoid.{u3} M (CanonicallyOrderedAddMonoid.toOrderedAddCommMonoid.{u3} M _inst_2)))) (AddMonoid.SMul.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (OrderedAddCommMonoid.toAddCommMonoid.{u3} M (CanonicallyOrderedAddMonoid.toOrderedAddCommMonoid.{u3} M _inst_2))))], (forall (i : σ), Ne.{succ u3} M (w i) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (OrderedAddCommMonoid.toAddCommMonoid.{u3} M (CanonicallyOrderedAddMonoid.toOrderedAddCommMonoid.{u3} M _inst_2))))))) -> (Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u2 u1, max u2 u1} 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))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) 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(MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{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 u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))) φ)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_homogeneous_component_zero MvPolynomial.weightedHomogeneousComponent_zeroₓ'. -/
 /-- If `M` is a `canonically_ordered_add_monoid`, then the `weighted_homogeneous_component`
   of weighted degree `0` of a polynomial is its constant coefficient. -/

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

@@ -115,17 +115,21 @@ section OrderBot
 
 variable [OrderBot M]
 
-#print MvPolynomial.weightedTotalDegree /-
+/- warning: mv_polynomial.weighted_total_degree -> MvPolynomial.weightedTotalDegree is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : SemilatticeSup.{u2} M] [_inst_4 : OrderBot.{u2} M (Preorder.toHasLe.{u2} M (PartialOrder.toPreorder.{u2} M (SemilatticeSup.toPartialOrder.{u2} M _inst_3)))], (σ -> M) -> (MvPolynomial.{u3, u1} σ R _inst_1) -> M
+but is expected to have type
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : SemilatticeSup.{u2} M] [_inst_4 : OrderBot.{u2} M (Preorder.toLE.{u2} M (PartialOrder.toPreorder.{u2} M (SemilatticeSup.toPartialOrder.{u2} M _inst_3)))], (σ -> M) -> (MvPolynomial.{u3, u1} σ R _inst_1) -> M
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_total_degree MvPolynomial.weightedTotalDegreeₓ'. -/
 /-- When `M` has a `⊥` element, we can define the weighted total degree of a multivariate
   polynomial as a function taking values in `M`. -/
 def weightedTotalDegree (w : σ → M) (p : MvPolynomial σ R) : M :=
   p.support.sup fun s => weightedDegree' w s
 #align mv_polynomial.weighted_total_degree MvPolynomial.weightedTotalDegree
--/
 
 /- warning: mv_polynomial.weighted_total_degree_coe -> MvPolynomial.weightedTotalDegree_coe is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : SemilatticeSup.{u2} M] [_inst_4 : OrderBot.{u2} M (Preorder.toLE.{u2} M (PartialOrder.toPreorder.{u2} M (SemilatticeSup.toPartialOrder.{u2} M _inst_3)))] (w : σ -> M) (p : MvPolynomial.{u3, u1} σ R _inst_1), (Ne.{max (succ u3) (succ u1)} (MvPolynomial.{u3, u1} σ R _inst_1) p (OfNat.ofNat.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) 0 (OfNat.mk.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) 0 (Zero.zero.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))))))))) -> (Eq.{succ u2} (WithBot.{u2} M) (MvPolynomial.weightedTotalDegree'.{u1, u2, u3} R M _inst_1 σ _inst_2 _inst_3 w p) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) M (WithBot.{u2} M) (HasLiftT.mk.{succ u2, succ u2} M (WithBot.{u2} M) (CoeTCₓ.coe.{succ u2, succ u2} M (WithBot.{u2} M) (WithBot.hasCoeT.{u2} M))) (MvPolynomial.weightedTotalDegree.{u1, u2, u3} R M _inst_1 σ _inst_2 _inst_3 _inst_4 w p)))
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : SemilatticeSup.{u2} M] [_inst_4 : OrderBot.{u2} M (Preorder.toHasLe.{u2} M (PartialOrder.toPreorder.{u2} M (SemilatticeSup.toPartialOrder.{u2} M _inst_3)))] (w : σ -> M) (p : MvPolynomial.{u3, u1} σ R _inst_1), (Ne.{max (succ u3) (succ u1)} (MvPolynomial.{u3, u1} σ R _inst_1) p (OfNat.ofNat.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) 0 (OfNat.mk.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) 0 (Zero.zero.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))))))))) -> (Eq.{succ u2} (WithBot.{u2} M) (MvPolynomial.weightedTotalDegree'.{u1, u2, u3} R M _inst_1 σ _inst_2 _inst_3 w p) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) M (WithBot.{u2} M) (HasLiftT.mk.{succ u2, succ u2} M (WithBot.{u2} M) (CoeTCₓ.coe.{succ u2, succ u2} M (WithBot.{u2} M) (WithBot.hasCoeT.{u2} M))) (MvPolynomial.weightedTotalDegree.{u1, u2, u3} R M _inst_1 σ _inst_2 _inst_3 _inst_4 w p)))
 but is expected to have type
   forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u1} M] [_inst_3 : SemilatticeSup.{u1} M] [_inst_4 : OrderBot.{u1} M (Preorder.toLE.{u1} M (PartialOrder.toPreorder.{u1} M (SemilatticeSup.toPartialOrder.{u1} M _inst_3)))] (w : σ -> M) (p : MvPolynomial.{u3, u2} σ R _inst_1), (Ne.{max (succ u2) (succ u3)} (MvPolynomial.{u3, u2} σ R _inst_1) p (OfNat.ofNat.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) 0 (Zero.toOfNat0.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (CommMonoidWithZero.toZero.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toCommMonoidWithZero.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)))))) -> (Eq.{succ u1} (WithBot.{u1} M) (MvPolynomial.weightedTotalDegree'.{u2, u1, u3} R M _inst_1 σ _inst_2 _inst_3 w p) (WithBot.some.{u1} M (MvPolynomial.weightedTotalDegree.{u2, u1, u3} R M _inst_1 σ _inst_2 _inst_3 _inst_4 w p)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_total_degree_coe MvPolynomial.weightedTotalDegree_coeₓ'. -/
@@ -147,7 +151,7 @@ theorem weightedTotalDegree_coe (w : σ → M) (p : MvPolynomial σ R) (hp : p 
 
 /- warning: mv_polynomial.weighted_total_degree_zero -> MvPolynomial.weightedTotalDegree_zero is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : SemilatticeSup.{u2} M] [_inst_4 : OrderBot.{u2} M (Preorder.toLE.{u2} M (PartialOrder.toPreorder.{u2} M (SemilatticeSup.toPartialOrder.{u2} M _inst_3)))] (w : σ -> M), Eq.{succ u2} M (MvPolynomial.weightedTotalDegree.{u1, u2, u3} R M _inst_1 σ _inst_2 _inst_3 _inst_4 w (OfNat.ofNat.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) 0 (OfNat.mk.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) 0 (Zero.zero.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))))))))) (Bot.bot.{u2} M (OrderBot.toHasBot.{u2} M (Preorder.toLE.{u2} M (PartialOrder.toPreorder.{u2} M (SemilatticeSup.toPartialOrder.{u2} M _inst_3))) _inst_4))
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : SemilatticeSup.{u2} M] [_inst_4 : OrderBot.{u2} M (Preorder.toHasLe.{u2} M (PartialOrder.toPreorder.{u2} M (SemilatticeSup.toPartialOrder.{u2} M _inst_3)))] (w : σ -> M), Eq.{succ u2} M (MvPolynomial.weightedTotalDegree.{u1, u2, u3} R M _inst_1 σ _inst_2 _inst_3 _inst_4 w (OfNat.ofNat.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) 0 (OfNat.mk.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) 0 (Zero.zero.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))))))))) (Bot.bot.{u2} M (OrderBot.toHasBot.{u2} M (Preorder.toHasLe.{u2} M (PartialOrder.toPreorder.{u2} M (SemilatticeSup.toPartialOrder.{u2} M _inst_3))) _inst_4))
 but is expected to have type
   forall {R : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommSemiring.{u2} R] {σ : Type.{u1}} [_inst_2 : AddCommMonoid.{u3} M] [_inst_3 : SemilatticeSup.{u3} M] [_inst_4 : OrderBot.{u3} M (Preorder.toLE.{u3} M (PartialOrder.toPreorder.{u3} M (SemilatticeSup.toPartialOrder.{u3} M _inst_3)))] (w : σ -> M), Eq.{succ u3} M (MvPolynomial.weightedTotalDegree.{u2, u3, u1} R M _inst_1 σ _inst_2 _inst_3 _inst_4 w (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) 0 (Zero.toOfNat0.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommMonoidWithZero.toZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toCommMonoidWithZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Bot.bot.{u3} M (OrderBot.toBot.{u3} M (Preorder.toLE.{u3} M (PartialOrder.toPreorder.{u3} M (SemilatticeSup.toPartialOrder.{u3} M _inst_3))) _inst_4))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_total_degree_zero MvPolynomial.weightedTotalDegree_zeroₓ'. -/
@@ -158,7 +162,7 @@ theorem weightedTotalDegree_zero (w : σ → M) : weightedTotalDegree w (0 : MvP
 
 /- warning: mv_polynomial.le_weighted_total_degree -> MvPolynomial.le_weightedTotalDegree is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : SemilatticeSup.{u2} M] [_inst_4 : OrderBot.{u2} M (Preorder.toLE.{u2} M (PartialOrder.toPreorder.{u2} M (SemilatticeSup.toPartialOrder.{u2} M _inst_3)))] (w : σ -> M) {φ : MvPolynomial.{u3, u1} σ R _inst_1} {d : Finsupp.{u3, 0} σ Nat Nat.hasZero}, (Membership.Mem.{u3, u3} (Finsupp.{u3, 0} σ Nat Nat.hasZero) (Finset.{u3} (Finsupp.{u3, 0} σ Nat Nat.hasZero)) (Finset.hasMem.{u3} (Finsupp.{u3, 0} σ Nat Nat.hasZero)) d (MvPolynomial.support.{u1, u3} R σ _inst_1 φ)) -> (LE.le.{u2} M (Preorder.toLE.{u2} M (PartialOrder.toPreorder.{u2} M (SemilatticeSup.toPartialOrder.{u2} M _inst_3))) (coeFn.{max (succ u2) (succ u3), max (succ u3) (succ u2)} (AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (fun (_x : AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) => (Finsupp.{u3, 0} σ Nat Nat.hasZero) -> M) (AddMonoidHom.hasCoeToFun.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MvPolynomial.weightedDegree'.{u2, u3} M σ _inst_2 w) d) (MvPolynomial.weightedTotalDegree.{u1, u2, u3} R M _inst_1 σ _inst_2 _inst_3 _inst_4 w φ))
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : SemilatticeSup.{u2} M] [_inst_4 : OrderBot.{u2} M (Preorder.toHasLe.{u2} M (PartialOrder.toPreorder.{u2} M (SemilatticeSup.toPartialOrder.{u2} M _inst_3)))] (w : σ -> M) {φ : MvPolynomial.{u3, u1} σ R _inst_1} {d : Finsupp.{u3, 0} σ Nat Nat.hasZero}, (Membership.Mem.{u3, u3} (Finsupp.{u3, 0} σ Nat Nat.hasZero) (Finset.{u3} (Finsupp.{u3, 0} σ Nat Nat.hasZero)) (Finset.hasMem.{u3} (Finsupp.{u3, 0} σ Nat Nat.hasZero)) d (MvPolynomial.support.{u1, u3} R σ _inst_1 φ)) -> (LE.le.{u2} M (Preorder.toHasLe.{u2} M (PartialOrder.toPreorder.{u2} M (SemilatticeSup.toPartialOrder.{u2} M _inst_3))) (coeFn.{max (succ u2) (succ u3), max (succ u3) (succ u2)} (AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (fun (_x : AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) => (Finsupp.{u3, 0} σ Nat Nat.hasZero) -> M) (AddMonoidHom.hasCoeToFun.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MvPolynomial.weightedDegree'.{u2, u3} M σ _inst_2 w) d) (MvPolynomial.weightedTotalDegree.{u1, u2, u3} R M _inst_1 σ _inst_2 _inst_3 _inst_4 w φ))
 but is expected to have type
   forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u1} M] [_inst_3 : SemilatticeSup.{u1} M] [_inst_4 : OrderBot.{u1} M (Preorder.toLE.{u1} M (PartialOrder.toPreorder.{u1} M (SemilatticeSup.toPartialOrder.{u1} M _inst_3)))] (w : σ -> M) {φ : MvPolynomial.{u3, u2} σ R _inst_1} {d : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)}, (Membership.mem.{u3, u3} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u3} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instMembershipFinset.{u3} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) d (MvPolynomial.support.{u2, u3} R σ _inst_1 φ)) -> (LE.le.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) d) (Preorder.toLE.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) d) (PartialOrder.toPreorder.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) d) (SemilatticeSup.toPartialOrder.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) d) _inst_3))) (FunLike.coe.{max (succ u1) (succ u3), succ u3, succ u1} (AddMonoidHom.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (_x : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) _x) (AddHomClass.toFunLike.{max u1 u3, u3, u1} (AddMonoidHom.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (AddZeroClass.toAdd.{u3} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (AddMonoidHomClass.toAddHomClass.{max u1 u3, u3, u1} (AddMonoidHom.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (AddMonoidHom.addMonoidHomClass.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))))) (MvPolynomial.weightedDegree'.{u1, u3} M σ _inst_2 w) d) (MvPolynomial.weightedTotalDegree.{u2, u1, u3} R M _inst_1 σ _inst_2 _inst_3 _inst_4 w φ))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.le_weighted_total_degree MvPolynomial.le_weightedTotalDegreeₓ'. -/
@@ -237,7 +241,7 @@ variable {R}
 
 /- warning: mv_polynomial.weighted_homogeneous_submodule_mul -> MvPolynomial.weightedHomogeneousSubmodule_mul is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] (w : σ -> M) (m : M) (n : M), LE.le.{max u3 u1} (Submodule.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Preorder.toLE.{max u3 u1} (Submodule.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (PartialOrder.toPreorder.{max u3 u1} (Submodule.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (SetLike.partialOrder.{max u3 u1, max u3 u1} (Submodule.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.{u3, u1} σ R _inst_1) (Submodule.setLike.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (HMul.hMul.{max u3 u1, max u3 u1, max u3 u1} (Submodule.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Submodule.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Submodule.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (instHMul.{max u3 u1} (Submodule.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Submodule.mul.{u1, max u3 u1} R _inst_1 (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))) (MvPolynomial.weightedHomogeneousSubmodule.{u1, u2, u3} R M _inst_1 σ _inst_2 w m) (MvPolynomial.weightedHomogeneousSubmodule.{u1, u2, u3} R M _inst_1 σ _inst_2 w n)) (MvPolynomial.weightedHomogeneousSubmodule.{u1, u2, u3} R M _inst_1 σ _inst_2 w (HAdd.hAdd.{u2, u2, u2} M M M (instHAdd.{u2} M (AddZeroClass.toHasAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)))) m n))
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] (w : σ -> M) (m : M) (n : M), LE.le.{max u3 u1} (Submodule.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Preorder.toHasLe.{max u3 u1} (Submodule.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (PartialOrder.toPreorder.{max u3 u1} (Submodule.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (SetLike.partialOrder.{max u3 u1, max u3 u1} (Submodule.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.{u3, u1} σ R _inst_1) (Submodule.setLike.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (HMul.hMul.{max u3 u1, max u3 u1, max u3 u1} (Submodule.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Submodule.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Submodule.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (instHMul.{max u3 u1} (Submodule.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Submodule.mul.{u1, max u3 u1} R _inst_1 (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))) (MvPolynomial.weightedHomogeneousSubmodule.{u1, u2, u3} R M _inst_1 σ _inst_2 w m) (MvPolynomial.weightedHomogeneousSubmodule.{u1, u2, u3} R M _inst_1 σ _inst_2 w n)) (MvPolynomial.weightedHomogeneousSubmodule.{u1, u2, u3} R M _inst_1 σ _inst_2 w (HAdd.hAdd.{u2, u2, u2} M M M (instHAdd.{u2} M (AddZeroClass.toHasAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)))) m n))
 but is expected to have type
   forall {R : Type.{u3}} {M : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {σ : Type.{u2}} [_inst_2 : AddCommMonoid.{u1} M] (w : σ -> M) (m : M) (n : M), LE.le.{max u3 u2} (Submodule.{u3, max u3 u2} R (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (Preorder.toLE.{max u3 u2} (Submodule.{u3, max u3 u2} R (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (PartialOrder.toPreorder.{max u3 u2} (Submodule.{u3, max u3 u2} R (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (OmegaCompletePartialOrder.toPartialOrder.{max u3 u2} (Submodule.{u3, max u3 u2} R (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (CompleteLattice.instOmegaCompletePartialOrder.{max u3 u2} (Submodule.{u3, max u3 u2} R (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (Submodule.completeLattice.{u3, max u3 u2} R (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))))))) (HMul.hMul.{max u3 u2, max u3 u2, max u3 u2} (Submodule.{u3, max u3 u2} R (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (Submodule.{u3, max u3 u2} R (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (Submodule.{u3, max u3 u2} R (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (instHMul.{max u3 u2} (Submodule.{u3, max u3 u2} R (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (Submodule.mul.{u3, max u3 u2} R _inst_1 (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (MvPolynomial.weightedHomogeneousSubmodule.{u3, u1, u2} R M _inst_1 σ _inst_2 w m) (MvPolynomial.weightedHomogeneousSubmodule.{u3, u1, u2} R M _inst_1 σ _inst_2 w n)) (MvPolynomial.weightedHomogeneousSubmodule.{u3, u1, u2} R M _inst_1 σ _inst_2 w (HAdd.hAdd.{u1, u1, u1} M M M (instHAdd.{u1} M (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)))) m n))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_homogeneous_submodule_mul MvPolynomial.weightedHomogeneousSubmodule_mulₓ'. -/
@@ -279,7 +283,7 @@ theorem isWeightedHomogeneous_monomial (w : σ → M) (d : σ →₀ ℕ) (r : R
 
 /- warning: mv_polynomial.is_weighted_homogeneous_of_total_degree_zero -> MvPolynomial.isWeightedHomogeneous_of_total_degree_zero is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : SemilatticeSup.{u2} M] [_inst_4 : OrderBot.{u2} M (Preorder.toLE.{u2} M (PartialOrder.toPreorder.{u2} M (SemilatticeSup.toPartialOrder.{u2} M _inst_3)))] (w : σ -> M) {p : MvPolynomial.{u3, u1} σ R _inst_1}, (Eq.{succ u2} M (MvPolynomial.weightedTotalDegree.{u1, u2, u3} R M _inst_1 σ _inst_2 _inst_3 _inst_4 w p) (Bot.bot.{u2} M (OrderBot.toHasBot.{u2} M (Preorder.toLE.{u2} M (PartialOrder.toPreorder.{u2} M (SemilatticeSup.toPartialOrder.{u2} M _inst_3))) _inst_4))) -> (MvPolynomial.IsWeightedHomogeneous.{u1, u2, u3} R M _inst_1 σ _inst_2 w p (Bot.bot.{u2} M (OrderBot.toHasBot.{u2} M (Preorder.toLE.{u2} M (PartialOrder.toPreorder.{u2} M (SemilatticeSup.toPartialOrder.{u2} M _inst_3))) _inst_4)))
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : SemilatticeSup.{u2} M] [_inst_4 : OrderBot.{u2} M (Preorder.toHasLe.{u2} M (PartialOrder.toPreorder.{u2} M (SemilatticeSup.toPartialOrder.{u2} M _inst_3)))] (w : σ -> M) {p : MvPolynomial.{u3, u1} σ R _inst_1}, (Eq.{succ u2} M (MvPolynomial.weightedTotalDegree.{u1, u2, u3} R M _inst_1 σ _inst_2 _inst_3 _inst_4 w p) (Bot.bot.{u2} M (OrderBot.toHasBot.{u2} M (Preorder.toHasLe.{u2} M (PartialOrder.toPreorder.{u2} M (SemilatticeSup.toPartialOrder.{u2} M _inst_3))) _inst_4))) -> (MvPolynomial.IsWeightedHomogeneous.{u1, u2, u3} R M _inst_1 σ _inst_2 w p (Bot.bot.{u2} M (OrderBot.toHasBot.{u2} M (Preorder.toHasLe.{u2} M (PartialOrder.toPreorder.{u2} M (SemilatticeSup.toPartialOrder.{u2} M _inst_3))) _inst_4)))
 but is expected to have type
   forall {R : Type.{u1}} {M : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u2}} [_inst_2 : AddCommMonoid.{u3} M] [_inst_3 : SemilatticeSup.{u3} M] [_inst_4 : OrderBot.{u3} M (Preorder.toLE.{u3} M (PartialOrder.toPreorder.{u3} M (SemilatticeSup.toPartialOrder.{u3} M _inst_3)))] (w : σ -> M) {p : MvPolynomial.{u2, u1} σ R _inst_1}, (Eq.{succ u3} M (MvPolynomial.weightedTotalDegree.{u1, u3, u2} R M _inst_1 σ _inst_2 _inst_3 _inst_4 w p) (Bot.bot.{u3} M (OrderBot.toBot.{u3} M (Preorder.toLE.{u3} M (PartialOrder.toPreorder.{u3} M (SemilatticeSup.toPartialOrder.{u3} M _inst_3))) _inst_4))) -> (MvPolynomial.IsWeightedHomogeneous.{u1, u3, u2} R M _inst_1 σ _inst_2 w p (Bot.bot.{u3} M (OrderBot.toBot.{u3} M (Preorder.toLE.{u3} M (PartialOrder.toPreorder.{u3} M (SemilatticeSup.toPartialOrder.{u3} M _inst_3))) _inst_4)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.is_weighted_homogeneous_of_total_degree_zero MvPolynomial.isWeightedHomogeneous_of_total_degree_zeroₓ'. -/
@@ -559,7 +563,7 @@ theorem weightedHomogeneousComponent_eq_zero'
 
 /- warning: mv_polynomial.weighted_homogeneous_component_eq_zero -> MvPolynomial.weightedHomogeneousComponent_eq_zero is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] {w : σ -> M} (n : M) (φ : MvPolynomial.{u3, u1} σ R _inst_1) [_inst_3 : SemilatticeSup.{u2} M] [_inst_4 : OrderBot.{u2} M (Preorder.toLE.{u2} M (PartialOrder.toPreorder.{u2} M (SemilatticeSup.toPartialOrder.{u2} M _inst_3)))], (LT.lt.{u2} M (Preorder.toLT.{u2} M (PartialOrder.toPreorder.{u2} M (SemilatticeSup.toPartialOrder.{u2} M _inst_3))) (MvPolynomial.weightedTotalDegree.{u1, u2, u3} R M _inst_1 σ _inst_2 _inst_3 _inst_4 w φ) n) -> (Eq.{max (succ u3) (succ u1)} (MvPolynomial.{u3, u1} σ R _inst_1) (coeFn.{succ (max u3 u1), succ (max u3 u1)} (LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, max u3 u1, max u3 u1} R R (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} 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.weightedHomogeneousComponent.{u1, u2, u3} R M _inst_1 σ _inst_2 w n) φ) (OfNat.ofNat.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) 0 (OfNat.mk.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) 0 (Zero.zero.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))))))))
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] {w : σ -> M} (n : M) (φ : MvPolynomial.{u3, u1} σ R _inst_1) [_inst_3 : SemilatticeSup.{u2} M] [_inst_4 : OrderBot.{u2} M (Preorder.toHasLe.{u2} M (PartialOrder.toPreorder.{u2} M (SemilatticeSup.toPartialOrder.{u2} M _inst_3)))], (LT.lt.{u2} M (Preorder.toHasLt.{u2} M (PartialOrder.toPreorder.{u2} M (SemilatticeSup.toPartialOrder.{u2} M _inst_3))) (MvPolynomial.weightedTotalDegree.{u1, u2, u3} R M _inst_1 σ _inst_2 _inst_3 _inst_4 w φ) n) -> (Eq.{max (succ u3) (succ u1)} (MvPolynomial.{u3, u1} σ R _inst_1) (coeFn.{succ (max u3 u1), succ (max u3 u1)} (LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, max u3 u1, max u3 u1} R R (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} 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.weightedHomogeneousComponent.{u1, u2, u3} R M _inst_1 σ _inst_2 w n) φ) (OfNat.ofNat.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) 0 (OfNat.mk.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) 0 (Zero.zero.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))))))))
 but is expected to have type
   forall {R : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommSemiring.{u2} R] {σ : Type.{u1}} [_inst_2 : AddCommMonoid.{u3} M] {w : σ -> M} (n : M) (φ : MvPolynomial.{u1, u2} σ R _inst_1) [_inst_3 : SemilatticeSup.{u3} M] [_inst_4 : OrderBot.{u3} M (Preorder.toLE.{u3} M (PartialOrder.toPreorder.{u3} M (SemilatticeSup.toPartialOrder.{u3} M _inst_3)))], (LT.lt.{u3} M (Preorder.toLT.{u3} M (PartialOrder.toPreorder.{u3} M (SemilatticeSup.toPartialOrder.{u3} M _inst_3))) (MvPolynomial.weightedTotalDegree.{u2, u3, u1} R M _inst_1 σ _inst_2 _inst_3 _inst_4 w φ) n) -> (Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u2 u1, max u2 u1} 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))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _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))) (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)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} R R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _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))) (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.weightedHomogeneousComponent.{u2, u3, u1} R M _inst_1 σ _inst_2 w n) φ) (OfNat.ofNat.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) 0 (Zero.toOfNat0.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) (CommMonoidWithZero.toZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) (CommSemiring.toCommMonoidWithZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_homogeneous_component_eq_zero MvPolynomial.weightedHomogeneousComponent_eq_zeroₓ'. -/

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

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Antoine Chambert-Loir, María Inés de Frutos-Fernández
 
 ! This file was ported from Lean 3 source module ring_theory.mv_polynomial.weighted_homogeneous
-! leanprover-community/mathlib commit 31ca6f9cf5f90a6206092cd7f84b359dcb6d52e0
+! leanprover-community/mathlib commit 2f5b500a507264de86d666a5f87ddb976e2d8de4
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -49,7 +49,7 @@ components.
 
 noncomputable section
 
-open Classical BigOperators
+open BigOperators
 
 open Set Function Finset Finsupp AddMonoidAlgebra
 
@@ -267,14 +267,14 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.is_weighted_homogeneous_monomial MvPolynomial.isWeightedHomogeneous_monomialₓ'. -/
 /-- Monomials are weighted homogeneous. -/
 theorem isWeightedHomogeneous_monomial (w : σ → M) (d : σ →₀ ℕ) (r : R) {m : M}
-    (hm : weightedDegree' w d = m) : IsWeightedHomogeneous w (monomial d r) m :=
-  by
-  intro c hc
-  rw [coeff_monomial] at hc
-  split_ifs  at hc with h
-  · subst c
-    exact hm
-  · contradiction
+    (hm : weightedDegree' w d = m) : IsWeightedHomogeneous w (monomial d r) m := by
+  classical
+    intro c hc
+    rw [coeff_monomial] at hc
+    split_ifs  at hc with h
+    · subst c
+      exact hm
+    · contradiction
 #align mv_polynomial.is_weighted_homogeneous_monomial MvPolynomial.isWeightedHomogeneous_monomial
 
 /- warning: mv_polynomial.is_weighted_homogeneous_of_total_degree_zero -> MvPolynomial.isWeightedHomogeneous_of_total_degree_zero is a dubious translation:
@@ -428,14 +428,15 @@ theorem prod {ι : Type _} (s : Finset ι) (φ : ι → MvPolynomial σ R) (n :
     (∀ i ∈ s, IsWeightedHomogeneous w (φ i) (n i)) →
       IsWeightedHomogeneous w (∏ i in s, φ i) (∑ i in s, n i) :=
   by
-  apply Finset.induction_on s
-  · intro
-    simp only [is_weighted_homogeneous_one, Finset.sum_empty, Finset.prod_empty]
-  · intro i s his IH h
-    simp only [his, Finset.prod_insert, Finset.sum_insert, not_false_iff]
-    apply (h i (Finset.mem_insert_self _ _)).mul (IH _)
-    intro j hjs
-    exact h j (Finset.mem_insert_of_mem hjs)
+  classical
+    apply Finset.induction_on s
+    · intro
+      simp only [is_weighted_homogeneous_one, Finset.sum_empty, Finset.prod_empty]
+    · intro i s his IH h
+      simp only [his, Finset.prod_insert, Finset.sum_insert, not_false_iff]
+      apply (h i (Finset.mem_insert_self _ _)).mul (IH _)
+      intro j hjs
+      exact h j (Finset.mem_insert_of_mem hjs)
 #align mv_polynomial.is_weighted_homogeneous.prod MvPolynomial.IsWeightedHomogeneous.prod
 
 /- warning: mv_polynomial.is_weighted_homogeneous.weighted_total_degree -> MvPolynomial.IsWeightedHomogeneous.weighted_total_degree is a dubious translation:
@@ -489,11 +490,11 @@ variable {w : σ → M} (n : M) (φ ψ : MvPolynomial σ R)
 
 /- warning: mv_polynomial.coeff_weighted_homogeneous_component -> MvPolynomial.coeff_weightedHomogeneousComponent is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] {w : σ -> M} (n : M) (φ : MvPolynomial.{u3, u1} σ R _inst_1) (d : Finsupp.{u3, 0} σ Nat Nat.hasZero), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u3} R σ _inst_1 d (coeFn.{succ (max u3 u1), succ (max u3 u1)} (LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, max u3 u1, max u3 u1} R R (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} 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.weightedHomogeneousComponent.{u1, u2, u3} R M _inst_1 σ _inst_2 w n) φ)) (ite.{succ u1} R (Eq.{succ u2} M (coeFn.{max (succ u2) (succ u3), max (succ u3) (succ u2)} (AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (fun (_x : AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) => (Finsupp.{u3, 0} σ Nat Nat.hasZero) -> M) (AddMonoidHom.hasCoeToFun.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MvPolynomial.weightedDegree'.{u2, u3} M σ _inst_2 w) d) n) (Classical.propDecidable (Eq.{succ u2} M (coeFn.{max (succ u2) (succ u3), max (succ u3) (succ u2)} (AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (fun (_x : AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) => (Finsupp.{u3, 0} σ Nat Nat.hasZero) -> M) (AddMonoidHom.hasCoeToFun.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MvPolynomial.weightedDegree'.{u2, u3} M σ _inst_2 w) d) n)) (MvPolynomial.coeff.{u1, u3} R σ _inst_1 d φ) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] {w : σ -> M} (n : M) (φ : MvPolynomial.{u3, u1} σ R _inst_1) [_inst_3 : DecidableEq.{succ u2} M] (d : Finsupp.{u3, 0} σ Nat Nat.hasZero), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u3} R σ _inst_1 d (coeFn.{succ (max u3 u1), succ (max u3 u1)} (LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) 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_inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, max u3 u1, max u3 u1} R R (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} 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.weightedHomogeneousComponent.{u1, u2, u3} R M _inst_1 σ _inst_2 w n) φ)) (ite.{succ u1} R (Eq.{succ u2} M (coeFn.{max (succ u2) (succ u3), max (succ u3) (succ u2)} (AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (fun (_x : AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) => (Finsupp.{u3, 0} σ Nat Nat.hasZero) -> M) (AddMonoidHom.hasCoeToFun.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MvPolynomial.weightedDegree'.{u2, u3} M σ _inst_2 w) d) n) (_inst_3 (coeFn.{max (succ u2) (succ u3), max (succ u3) (succ u2)} (AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (fun (_x : AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) => (Finsupp.{u3, 0} σ Nat Nat.hasZero) -> M) (AddMonoidHom.hasCoeToFun.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MvPolynomial.weightedDegree'.{u2, u3} M σ _inst_2 w) d) n) (MvPolynomial.coeff.{u1, u3} R σ _inst_1 d φ) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
 but is expected to have type
-  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u1} M] {w : σ -> M} (n : M) (φ : MvPolynomial.{u3, u2} σ R _inst_1) (d : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u3} R σ _inst_1 d (FunLike.coe.{max (succ u3) (succ u2), max (succ u3) (succ u2), max (succ u3) (succ u2)} (LinearMap.{u2, u2, max u2 u3, max u2 u3} 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))) (MvPolynomial.{u3, u2} σ R _inst_1) (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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.{u3, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u3, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u3, u2} σ R _inst_1) => MvPolynomial.{u3, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u3 u2, max u3 u2} R R (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} 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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _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 u2 u3} (MvPolynomial.{u3, u2} σ R 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(AddZeroClass.toAdd.{u3} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (AddMonoidHomClass.toAddHomClass.{max u1 u3, u3, u1} (AddMonoidHom.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (AddMonoidHom.addMonoidHomClass.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))))) (MvPolynomial.weightedDegree'.{u1, u3} M σ _inst_2 w) d) n) (Classical.propDecidable (Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) d) (FunLike.coe.{max (succ u1) (succ u3), succ u3, succ u1} (AddMonoidHom.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (_x : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) _x) (AddHomClass.toFunLike.{max u1 u3, u3, u1} (AddMonoidHom.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (AddZeroClass.toAdd.{u3} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) 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(AddCommMonoid.toAddMonoid.{u1} M _inst_2))))) (MvPolynomial.weightedDegree'.{u1, u3} M σ _inst_2 w) d) n)) (MvPolynomial.coeff.{u2, u3} R σ _inst_1 d φ) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
+  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u1} M] {w : σ -> M} (n : M) (φ : MvPolynomial.{u3, u2} σ R _inst_1) (_inst_3 : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u3} R σ _inst_1 _inst_3 (FunLike.coe.{max (succ u3) (succ u2), max (succ u3) (succ u2), max (succ u3) (succ u2)} (LinearMap.{u2, u2, max u2 u3, max u2 u3} 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))) (MvPolynomial.{u3, u2} σ R _inst_1) (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, 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MvPolynomial.{u3, u2} σ R _inst_1) => MvPolynomial.{u3, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, max u3 u2, max u3 u2} R R (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} 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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.module.{u2, u2, u3} 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.weightedHomogeneousComponent.{u2, u1, u3} R M _inst_1 σ _inst_2 w n) φ)) (ite.{succ u2} R (Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) _inst_3) (FunLike.coe.{max (succ u1) (succ u3), succ u3, succ u1} (AddMonoidHom.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) a) (AddHomClass.toFunLike.{max u1 u3, u3, u1} (AddMonoidHom.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (AddZeroClass.toAdd.{u3} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (AddMonoidHomClass.toAddHomClass.{max u1 u3, u3, u1} (AddMonoidHom.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) 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(LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => M) a) (AddHomClass.toFunLike.{max u1 u3, u3, u1} (AddMonoidHom.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (AddZeroClass.toAdd.{u3} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (AddMonoidHomClass.toAddHomClass.{max u1 u3, u3, u1} (AddMonoidHom.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (AddMonoidHom.addMonoidHomClass.{u3, u1} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))))) (MvPolynomial.weightedDegree'.{u1, u3} M σ _inst_2 w) _inst_3) n)) (MvPolynomial.coeff.{u2, u3} R σ _inst_1 _inst_3 φ) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_weighted_homogeneous_component MvPolynomial.coeff_weightedHomogeneousComponentₓ'. -/
-theorem coeff_weightedHomogeneousComponent (d : σ →₀ ℕ) :
+theorem coeff_weightedHomogeneousComponent [DecidableEq M] (d : σ →₀ ℕ) :
     coeff d (weightedHomogeneousComponent w n φ) =
       if weightedDegree' w d = n then coeff d φ else 0 :=
   Finsupp.filter_apply (fun d : σ →₀ ℕ => weightedDegree' w d = n) φ d
@@ -501,11 +502,11 @@ theorem coeff_weightedHomogeneousComponent (d : σ →₀ ℕ) :
 
 /- warning: mv_polynomial.weighted_homogeneous_component_apply -> MvPolynomial.weightedHomogeneousComponent_apply is a dubious translation:
 lean 3 declaration is
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(AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MvPolynomial.weightedDegree'.{u2, u3} M σ _inst_2 w) d) n) (fun (a : Finsupp.{u3, 0} σ Nat Nat.hasZero) => Classical.propDecidable ((fun (d : Finsupp.{u3, 0} σ Nat Nat.hasZero) => Eq.{succ u2} M (coeFn.{max (succ u2) (succ u3), max (succ u3) (succ u2)} (AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (fun (_x : AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) => (Finsupp.{u3, 0} σ Nat Nat.hasZero) -> M) (AddMonoidHom.hasCoeToFun.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MvPolynomial.weightedDegree'.{u2, u3} M σ _inst_2 w) d) n) a)) (MvPolynomial.support.{u1, u3} R σ _inst_1 φ)) (fun (d : Finsupp.{u3, 0} σ Nat Nat.hasZero) => coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (LinearMap.{u1, u1, u1, max u3 u1} 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.{u3, 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 u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) 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+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] {w : σ -> M} (n : M) (φ : MvPolynomial.{u3, u1} σ R _inst_1) [_inst_3 : DecidableEq.{succ u2} M], Eq.{max (succ u3) (succ u1)} (MvPolynomial.{u3, u1} σ R _inst_1) (coeFn.{succ (max u3 u1), succ (max u3 u1)} (LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R 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 but is expected to have type
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(AddCommMonoid.toAddMonoid.{u1} M _inst_2))))) (MvPolynomial.weightedDegree'.{u1, u2} M σ _inst_2 w) d) n) a)) (MvPolynomial.support.{u3, u2} R σ _inst_1 φ)) (fun (d : Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => FunLike.coe.{max (succ u2) (succ u3), succ u3, max (succ u2) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u2} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u2, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) 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_inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.monomial.{u3, u2} R σ _inst_1 d) (MvPolynomial.coeff.{u3, u2} R σ _inst_1 d φ)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_homogeneous_component_apply MvPolynomial.weightedHomogeneousComponent_applyₓ'. -/
-theorem weightedHomogeneousComponent_apply :
+theorem weightedHomogeneousComponent_apply [DecidableEq M] :
     weightedHomogeneousComponent w n φ =
       ∑ d in φ.support.filterₓ fun d => weightedDegree' w d = n, monomial d (coeff d φ) :=
   Finsupp.filter_eq_sum (fun d : σ →₀ ℕ => weightedDegree' w d = n) φ
@@ -520,11 +521,11 @@ Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted
 /-- The `n` weighted homogeneous component of a polynomial is weighted homogeneous of
 weighted degree `n`. -/
 theorem weightedHomogeneousComponent_isWeightedHomogeneous :
-    (weightedHomogeneousComponent w n φ).IsWeightedHomogeneous w n :=
-  by
-  intro d hd
-  contrapose! hd
-  rw [coeff_weighted_homogeneous_component, if_neg hd]
+    (weightedHomogeneousComponent w n φ).IsWeightedHomogeneous w n := by
+  classical
+    intro d hd
+    contrapose! hd
+    rw [coeff_weighted_homogeneous_component, if_neg hd]
 #align mv_polynomial.weighted_homogeneous_component_is_weighted_homogeneous MvPolynomial.weightedHomogeneousComponent_isWeightedHomogeneous
 
 /- warning: mv_polynomial.weighted_homogeneous_component_C_mul -> MvPolynomial.weightedHomogeneousComponent_C_mul is a dubious translation:
@@ -547,11 +548,13 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_homogeneous_component_eq_zero' MvPolynomial.weightedHomogeneousComponent_eq_zero'ₓ'. -/
 theorem weightedHomogeneousComponent_eq_zero'
     (h : ∀ d : σ →₀ ℕ, d ∈ φ.support → weightedDegree' w d ≠ n) :
-    weightedHomogeneousComponent w n φ = 0 :=
-  by
-  rw [weighted_homogeneous_component_apply, sum_eq_zero]
-  intro d hd; rw [mem_filter] at hd
-  exfalso; exact h _ hd.1 hd.2
+    weightedHomogeneousComponent w n φ = 0 := by
+  classical
+    rw [weighted_homogeneous_component_apply, sum_eq_zero]
+    intro d hd
+    rw [mem_filter] at hd
+    exfalso
+    exact h _ hd.1 hd.2
 #align mv_polynomial.weighted_homogeneous_component_eq_zero' MvPolynomial.weightedHomogeneousComponent_eq_zero'
 
 /- warning: mv_polynomial.weighted_homogeneous_component_eq_zero -> MvPolynomial.weightedHomogeneousComponent_eq_zero is a dubious translation:
@@ -561,14 +564,15 @@ but is expected to have type
   forall {R : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommSemiring.{u2} R] {σ : Type.{u1}} [_inst_2 : AddCommMonoid.{u3} M] {w : σ -> M} (n : M) (φ : MvPolynomial.{u1, u2} σ R _inst_1) [_inst_3 : SemilatticeSup.{u3} M] [_inst_4 : OrderBot.{u3} M (Preorder.toLE.{u3} M (PartialOrder.toPreorder.{u3} M (SemilatticeSup.toPartialOrder.{u3} M _inst_3)))], (LT.lt.{u3} M (Preorder.toLT.{u3} M (PartialOrder.toPreorder.{u3} M (SemilatticeSup.toPartialOrder.{u3} M _inst_3))) (MvPolynomial.weightedTotalDegree.{u2, u3, u1} R M _inst_1 σ _inst_2 _inst_3 _inst_4 w φ) n) -> (Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u2 u1, max u2 u1} 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))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _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))) (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)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u1 u2, max u1 u2} R R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _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))) (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.weightedHomogeneousComponent.{u2, u3, u1} R M _inst_1 σ _inst_2 w n) φ) (OfNat.ofNat.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) 0 (Zero.toOfNat0.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) (CommMonoidWithZero.toZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) (CommSemiring.toCommMonoidWithZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) φ) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_homogeneous_component_eq_zero MvPolynomial.weightedHomogeneousComponent_eq_zeroₓ'. -/
 theorem weightedHomogeneousComponent_eq_zero [SemilatticeSup M] [OrderBot M]
-    (h : weightedTotalDegree w φ < n) : weightedHomogeneousComponent w n φ = 0 :=
-  by
-  rw [weighted_homogeneous_component_apply, sum_eq_zero]
-  intro d hd; rw [mem_filter] at hd
-  exfalso
-  apply lt_irrefl n
-  nth_rw 1 [← hd.2]
-  exact lt_of_le_of_lt (le_weighted_total_degree w hd.1) h
+    (h : weightedTotalDegree w φ < n) : weightedHomogeneousComponent w n φ = 0 := by
+  classical
+    rw [weighted_homogeneous_component_apply, sum_eq_zero]
+    intro d hd
+    rw [mem_filter] at hd
+    exfalso
+    apply lt_irrefl n
+    nth_rw 1 [← hd.2]
+    exact lt_of_le_of_lt (le_weighted_total_degree w hd.1) h
 #align mv_polynomial.weighted_homogeneous_component_eq_zero MvPolynomial.weightedHomogeneousComponent_eq_zero
 
 /- warning: mv_polynomial.weighted_homogeneous_component_finsupp -> MvPolynomial.weightedHomogeneousComponent_finsupp is a dubious translation:
@@ -603,33 +607,33 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.sum_weighted_homogeneous_component MvPolynomial.sum_weightedHomogeneousComponentₓ'. -/
 /-- Every polynomial is the sum of its weighted homogeneous components. -/
 theorem sum_weightedHomogeneousComponent :
-    (finsum fun m => weightedHomogeneousComponent w m φ) = φ :=
-  by
-  rw [finsum_eq_sum _ (weighted_homogeneous_component_finsupp φ)]
-  ext1 d
-  simp only [coeff_sum, coeff_weighted_homogeneous_component]
-  rw [Finset.sum_eq_single (weighted_degree' w d)]
-  · rw [if_pos rfl]
-  · intro m hm hm'
-    rw [if_neg hm'.symm]
-  · intro hm
-    rw [if_pos rfl]
-    simp only [finite.mem_to_finset, mem_support, Ne.def, Classical.not_not] at hm
-    have := coeff_weighted_homogeneous_component _ φ d
-    rw [hm, if_pos rfl, coeff_zero] at this
-    exact this.symm
+    (finsum fun m => weightedHomogeneousComponent w m φ) = φ := by
+  classical
+    rw [finsum_eq_sum _ (weighted_homogeneous_component_finsupp φ)]
+    ext1 d
+    simp only [coeff_sum, coeff_weighted_homogeneous_component]
+    rw [Finset.sum_eq_single (weighted_degree' w d)]
+    · rw [if_pos rfl]
+    · intro m hm hm'
+      rw [if_neg hm'.symm]
+    · intro hm
+      rw [if_pos rfl]
+      simp only [finite.mem_to_finset, mem_support, Ne.def, Classical.not_not] at hm
+      have := coeff_weighted_homogeneous_component (_ : M) φ d
+      rw [hm, if_pos rfl, coeff_zero] at this
+      exact this.symm
 #align mv_polynomial.sum_weighted_homogeneous_component MvPolynomial.sum_weightedHomogeneousComponent
 
 variable {w}
 
 /- warning: mv_polynomial.weighted_homogeneous_component_weighted_homogeneous_polynomial -> MvPolynomial.weightedHomogeneousComponent_weighted_homogeneous_polynomial is a dubious translation:
 lean 3 declaration is
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(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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) 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(MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} 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.weightedHomogeneousComponent.{u1, u2, u3} R M _inst_1 σ _inst_2 w m) p) (ite.{max (succ u3) (succ u1)} (MvPolynomial.{u3, u1} σ R _inst_1) (Eq.{succ u2} M m n) (Classical.propDecidable (Eq.{succ u2} M m n)) p (OfNat.ofNat.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) 0 (OfNat.mk.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) 0 (Zero.zero.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))))))))))
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] {w : σ -> M} [_inst_3 : DecidableEq.{succ u2} M] (m : M) (n : M) (p : MvPolynomial.{u3, u1} σ R _inst_1), (Membership.Mem.{max u3 u1, max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Submodule.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (SetLike.hasMem.{max u3 u1, max u3 u1} (Submodule.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.{u3, u1} σ R _inst_1) (Submodule.setLike.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) p (MvPolynomial.weightedHomogeneousSubmodule.{u1, u2, u3} R M _inst_1 σ _inst_2 w n)) -> (Eq.{max (succ u3) (succ u1)} (MvPolynomial.{u3, u1} σ R _inst_1) (coeFn.{succ (max u3 u1), succ (max u3 u1)} (LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, max u3 u1, max u3 u1} R R (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} 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.weightedHomogeneousComponent.{u1, u2, u3} R M _inst_1 σ _inst_2 w m) p) (ite.{max (succ u3) (succ u1)} (MvPolynomial.{u3, u1} σ R _inst_1) (Eq.{succ u2} M m n) (_inst_3 m n) p (OfNat.ofNat.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) 0 (OfNat.mk.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) 0 (Zero.zero.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))))))))))
 but is expected to have type
-  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u1} M] {w : σ -> M} (m : M) (n : M) (p : MvPolynomial.{u3, u2} σ R _inst_1), (Membership.mem.{max u2 u3, max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (Submodule.{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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (SetLike.instMembership.{max u2 u3, max u2 u3} (Submodule.{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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.{u3, u2} σ R _inst_1) (Submodule.setLike.{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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) p (MvPolynomial.weightedHomogeneousSubmodule.{u2, u1, u3} R M _inst_1 σ _inst_2 w n)) -> (Eq.{max (succ u2) (succ u3)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u3, u2} σ R _inst_1) => MvPolynomial.{u3, u2} σ R _inst_1) p) (FunLike.coe.{max (succ u3) (succ u2), max (succ u3) (succ u2), max (succ u3) (succ u2)} (LinearMap.{u2, u2, max u2 u3, max u2 u3} 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))) (MvPolynomial.{u3, u2} σ R _inst_1) (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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.{u3, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u3, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u3, u2} σ R _inst_1) => MvPolynomial.{u3, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u3 u2, max u3 u2} R R (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} 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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.module.{u2, u2, u3} 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.weightedHomogeneousComponent.{u2, u1, u3} R M _inst_1 σ _inst_2 w m) p) (ite.{max (succ u2) (succ u3)} (MvPolynomial.{u3, u2} σ R _inst_1) (Eq.{succ u1} M m n) (Classical.propDecidable (Eq.{succ u1} M m n)) p (OfNat.ofNat.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) 0 (Zero.toOfNat0.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (CommMonoidWithZero.toZero.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toCommMonoidWithZero.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)))))))
+  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u1} M] {w : σ -> M} (_inst_3 : M) (m : M) (n : MvPolynomial.{u3, u2} σ R _inst_1), (Membership.mem.{max u2 u3, max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (Submodule.{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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (SetLike.instMembership.{max u2 u3, max u2 u3} (Submodule.{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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.{u3, u2} σ R _inst_1) (Submodule.setLike.{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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) n (MvPolynomial.weightedHomogeneousSubmodule.{u2, u1, u3} R M _inst_1 σ _inst_2 w m)) -> (Eq.{max (succ u2) (succ u3)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u3, u2} σ R _inst_1) => MvPolynomial.{u3, u2} σ R _inst_1) n) (FunLike.coe.{max (succ u3) (succ u2), max (succ u3) (succ u2), max (succ u3) (succ u2)} (LinearMap.{u2, u2, max u2 u3, max u2 u3} 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))) (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.{u3, u2} σ R _inst_1) 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(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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.module.{u2, u2, u3} 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.weightedHomogeneousComponent.{u2, u1, u3} R M _inst_1 σ _inst_2 w _inst_3) n) (ite.{max (succ u2) (succ u3)} (MvPolynomial.{u3, u2} σ R _inst_1) (Eq.{succ u1} M _inst_3 m) (Classical.propDecidable (Eq.{succ u1} M _inst_3 m)) n (OfNat.ofNat.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) 0 (Zero.toOfNat0.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (CommMonoidWithZero.toZero.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toCommMonoidWithZero.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)))))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_homogeneous_component_weighted_homogeneous_polynomial MvPolynomial.weightedHomogeneousComponent_weighted_homogeneous_polynomialₓ'. -/
 /-- The weighted homogeneous components of a weighted homogeneous polynomial. -/
-theorem weightedHomogeneousComponent_weighted_homogeneous_polynomial (m n : M)
+theorem weightedHomogeneousComponent_weighted_homogeneous_polynomial [DecidableEq M] (m n : M)
     (p : MvPolynomial σ R) (h : p ∈ weightedHomogeneousSubmodule R w n) :
     weightedHomogeneousComponent w m p = if m = n then p else 0 :=
   by
@@ -664,18 +668,18 @@ Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted
   of weighted degree `0` of a polynomial is its constant coefficient. -/
 @[simp]
 theorem weightedHomogeneousComponent_zero [NoZeroSMulDivisors ℕ M] (hw : ∀ i : σ, w i ≠ 0) :
-    weightedHomogeneousComponent w 0 φ = C (coeff 0 φ) :=
-  by
-  ext1 d
-  rcases em (d = 0) with (rfl | hd)
-  · simp only [coeff_weighted_homogeneous_component, if_pos, map_zero, coeff_zero_C]
-  · rw [coeff_weighted_homogeneous_component, if_neg, coeff_C, if_neg (Ne.symm hd)]
-    simp only [weighted_degree', LinearMap.toAddMonoidHom_coe, Finsupp.total_apply, Finsupp.sum,
-      sum_eq_zero_iff, Finsupp.mem_support_iff, Ne.def, smul_eq_zero, not_forall, not_or,
-      and_self_left, exists_prop]
-    simp only [Finsupp.ext_iff, Finsupp.coe_zero, Pi.zero_apply, not_forall] at hd
-    obtain ⟨i, hi⟩ := hd
-    exact ⟨i, hi, hw i⟩
+    weightedHomogeneousComponent w 0 φ = C (coeff 0 φ) := by
+  classical
+    ext1 d
+    rcases em (d = 0) with (rfl | hd)
+    · simp only [coeff_weighted_homogeneous_component, if_pos, map_zero, coeff_zero_C]
+    · rw [coeff_weighted_homogeneous_component, if_neg, coeff_C, if_neg (Ne.symm hd)]
+      simp only [weighted_degree', LinearMap.toAddMonoidHom_coe, Finsupp.total_apply, Finsupp.sum,
+        sum_eq_zero_iff, Finsupp.mem_support_iff, Ne.def, smul_eq_zero, not_forall, not_or,
+        and_self_left, exists_prop]
+      simp only [Finsupp.ext_iff, Finsupp.coe_zero, Pi.zero_apply, not_forall] at hd
+      obtain ⟨i, hi⟩ := hd
+      exact ⟨i, hi, hw i⟩
 #align mv_polynomial.weighted_homogeneous_component_zero MvPolynomial.weightedHomogeneousComponent_zero
 
 end CanonicallyOrderedAddMonoid

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

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Antoine Chambert-Loir, María Inés de Frutos-Fernández
 
 ! This file was ported from Lean 3 source module ring_theory.mv_polynomial.weighted_homogeneous
-! leanprover-community/mathlib commit bcbee715ab85a4f516c814effdf232618c0322af
+! leanprover-community/mathlib commit 31ca6f9cf5f90a6206092cd7f84b359dcb6d52e0
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -14,6 +14,9 @@ import Mathbin.Data.MvPolynomial.Variables
 /-!
 # Weighted homogeneous polynomials
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 It is possible to assign weights (in a commutative additive monoid `M`) to the variables of a
 multivariate polynomial ring, so that monomials of the ring then have a weighted degree with
 respect to the weights of the variables. The weights are represented by a function `w : σ → M`,

mathlib commit https://github.com/leanprover-community/mathlib/commit/ce11c3c2a285bbe6937e26d9792fda4e51f3fe1a

@@ -63,21 +63,31 @@ variable [AddCommMonoid M]
 /-! ### `weighted_degree'` -/
 
 
+#print MvPolynomial.weightedDegree' /-
 /-- The `weighted degree'` of the finitely supported function `s : σ →₀ ℕ` is the sum
   `∑(s i)•(w i)`. -/
 def weightedDegree' (w : σ → M) : (σ →₀ ℕ) →+ M :=
   (Finsupp.total σ M ℕ w).toAddMonoidHom
 #align mv_polynomial.weighted_degree' MvPolynomial.weightedDegree'
+-/
 
 section SemilatticeSup
 
 variable [SemilatticeSup M]
 
+#print MvPolynomial.weightedTotalDegree' /-
 /-- The weighted total degree of a multivariate polynomial, taking values in `with_bot M`. -/
 def weightedTotalDegree' (w : σ → M) (p : MvPolynomial σ R) : WithBot M :=
   p.support.sup fun s => weightedDegree' w s
 #align mv_polynomial.weighted_total_degree' MvPolynomial.weightedTotalDegree'
+-/
 
+/- warning: mv_polynomial.weighted_total_degree'_eq_bot_iff -> MvPolynomial.weightedTotalDegree'_eq_bot_iff is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : SemilatticeSup.{u2} M] (w : σ -> M) (p : MvPolynomial.{u3, u1} σ R _inst_1), Iff (Eq.{succ u2} (WithBot.{u2} M) (MvPolynomial.weightedTotalDegree'.{u1, u2, u3} R M _inst_1 σ _inst_2 _inst_3 w p) (Bot.bot.{u2} (WithBot.{u2} M) (WithBot.hasBot.{u2} M))) (Eq.{max (succ u3) (succ u1)} (MvPolynomial.{u3, u1} σ R _inst_1) p (OfNat.ofNat.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) 0 (OfNat.mk.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) 0 (Zero.zero.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))))))))
+but is expected to have type
+  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u1} M] [_inst_3 : SemilatticeSup.{u1} M] (w : σ -> M) (p : MvPolynomial.{u3, u2} σ R _inst_1), Iff (Eq.{succ u1} (WithBot.{u1} M) (MvPolynomial.weightedTotalDegree'.{u2, u1, u3} R M _inst_1 σ _inst_2 _inst_3 w p) (Bot.bot.{u1} (WithBot.{u1} M) (WithBot.bot.{u1} M))) (Eq.{max (succ u2) (succ u3)} (MvPolynomial.{u3, u2} σ R _inst_1) p (OfNat.ofNat.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) 0 (Zero.toOfNat0.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (CommMonoidWithZero.toZero.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (CommSemiring.toCommMonoidWithZero.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_total_degree'_eq_bot_iff MvPolynomial.weightedTotalDegree'_eq_bot_iffₓ'. -/
 /-- The `weighted_total_degree'` of a polynomial `p` is `⊥` if and only if `p = 0`. -/
 theorem weightedTotalDegree'_eq_bot_iff (w : σ → M) (p : MvPolynomial σ R) :
     weightedTotalDegree' w p = ⊥ ↔ p = 0 :=
@@ -87,6 +97,12 @@ theorem weightedTotalDegree'_eq_bot_iff (w : σ → M) (p : MvPolynomial σ R) :
   exact forall_congr' fun _ => Classical.not_not
 #align mv_polynomial.weighted_total_degree'_eq_bot_iff MvPolynomial.weightedTotalDegree'_eq_bot_iff
 
+/- warning: mv_polynomial.weighted_total_degree'_zero -> MvPolynomial.weightedTotalDegree'_zero is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : SemilatticeSup.{u2} M] (w : σ -> M), Eq.{succ u2} (WithBot.{u2} M) (MvPolynomial.weightedTotalDegree'.{u1, u2, u3} R M _inst_1 σ _inst_2 _inst_3 w (OfNat.ofNat.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) 0 (OfNat.mk.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) 0 (Zero.zero.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))))))))) (Bot.bot.{u2} (WithBot.{u2} M) (WithBot.hasBot.{u2} M))
+but is expected to have type
+  forall {R : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommSemiring.{u2} R] {σ : Type.{u1}} [_inst_2 : AddCommMonoid.{u3} M] [_inst_3 : SemilatticeSup.{u3} M] (w : σ -> M), Eq.{succ u3} (WithBot.{u3} M) (MvPolynomial.weightedTotalDegree'.{u2, u3, u1} R M _inst_1 σ _inst_2 _inst_3 w (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) 0 (Zero.toOfNat0.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommMonoidWithZero.toZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toCommMonoidWithZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Bot.bot.{u3} (WithBot.{u3} M) (WithBot.bot.{u3} M))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_total_degree'_zero MvPolynomial.weightedTotalDegree'_zeroₓ'. -/
 /-- The `weighted_total_degree'` of the zero polynomial is `⊥`. -/
 theorem weightedTotalDegree'_zero (w : σ → M) : weightedTotalDegree' w (0 : MvPolynomial σ R) = ⊥ :=
   by simp only [weighted_total_degree', support_zero, Finset.sup_empty]
@@ -96,12 +112,20 @@ section OrderBot
 
 variable [OrderBot M]
 
+#print MvPolynomial.weightedTotalDegree /-
 /-- When `M` has a `⊥` element, we can define the weighted total degree of a multivariate
   polynomial as a function taking values in `M`. -/
 def weightedTotalDegree (w : σ → M) (p : MvPolynomial σ R) : M :=
   p.support.sup fun s => weightedDegree' w s
 #align mv_polynomial.weighted_total_degree MvPolynomial.weightedTotalDegree
+-/
 
+/- warning: mv_polynomial.weighted_total_degree_coe -> MvPolynomial.weightedTotalDegree_coe is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_total_degree_coe MvPolynomial.weightedTotalDegree_coeₓ'. -/
 /-- This lemma relates `weighted_total_degree` and `weighted_total_degree'`. -/
 theorem weightedTotalDegree_coe (w : σ → M) (p : MvPolynomial σ R) (hp : p ≠ 0) :
     weightedTotalDegree' w p = ↑(weightedTotalDegree w p) :=
@@ -118,11 +142,23 @@ theorem weightedTotalDegree_coe (w : σ → M) (p : MvPolynomial σ R) (hp : p 
     simpa [weighted_total_degree'] using hm'
 #align mv_polynomial.weighted_total_degree_coe MvPolynomial.weightedTotalDegree_coe
 
+/- warning: mv_polynomial.weighted_total_degree_zero -> MvPolynomial.weightedTotalDegree_zero is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_total_degree_zero MvPolynomial.weightedTotalDegree_zeroₓ'. -/
 /-- The `weighted_total_degree` of the zero polynomial is `⊥`. -/
 theorem weightedTotalDegree_zero (w : σ → M) : weightedTotalDegree w (0 : MvPolynomial σ R) = ⊥ :=
   by simp only [weighted_total_degree, support_zero, Finset.sup_empty]
 #align mv_polynomial.weighted_total_degree_zero MvPolynomial.weightedTotalDegree_zero
 
+/- warning: mv_polynomial.le_weighted_total_degree -> MvPolynomial.le_weightedTotalDegree is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : SemilatticeSup.{u2} M] [_inst_4 : OrderBot.{u2} M (Preorder.toLE.{u2} M (PartialOrder.toPreorder.{u2} M (SemilatticeSup.toPartialOrder.{u2} M _inst_3)))] (w : σ -> M) {φ : MvPolynomial.{u3, u1} σ R _inst_1} {d : Finsupp.{u3, 0} σ Nat Nat.hasZero}, (Membership.Mem.{u3, u3} (Finsupp.{u3, 0} σ Nat Nat.hasZero) (Finset.{u3} (Finsupp.{u3, 0} σ Nat Nat.hasZero)) (Finset.hasMem.{u3} (Finsupp.{u3, 0} σ Nat Nat.hasZero)) d (MvPolynomial.support.{u1, u3} R σ _inst_1 φ)) -> (LE.le.{u2} M (Preorder.toLE.{u2} M (PartialOrder.toPreorder.{u2} M (SemilatticeSup.toPartialOrder.{u2} M _inst_3))) (coeFn.{max (succ u2) (succ u3), max (succ u3) (succ u2)} (AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (fun (_x : AddMonoidHom.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) => (Finsupp.{u3, 0} σ Nat Nat.hasZero) -> M) (AddMonoidHom.hasCoeToFun.{u3, u2} (Finsupp.{u3, 0} σ Nat Nat.hasZero) M (Finsupp.addZeroClass.{u3, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MvPolynomial.weightedDegree'.{u2, u3} M σ _inst_2 w) d) (MvPolynomial.weightedTotalDegree.{u1, u2, u3} R M _inst_1 σ _inst_2 _inst_3 _inst_4 w φ))
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+Case conversion may be inaccurate. Consider using '#align mv_polynomial.le_weighted_total_degree MvPolynomial.le_weightedTotalDegreeₓ'. -/
 theorem le_weightedTotalDegree (w : σ → M) {φ : MvPolynomial σ R} {d : σ →₀ ℕ}
     (hd : d ∈ φ.support) : weightedDegree' w d ≤ φ.weightedTotalDegree w :=
   le_sup hd
@@ -132,14 +168,17 @@ end OrderBot
 
 end SemilatticeSup
 
+#print MvPolynomial.IsWeightedHomogeneous /-
 /-- A multivariate polynomial `φ` is weighted homogeneous of weighted degree `m` if all monomials
   occuring in `φ` have weighted degree `m`. -/
 def IsWeightedHomogeneous (w : σ → M) (φ : MvPolynomial σ R) (m : M) : Prop :=
   ∀ ⦃d⦄, coeff d φ ≠ 0 → weightedDegree' w d = m
 #align mv_polynomial.is_weighted_homogeneous MvPolynomial.IsWeightedHomogeneous
+-/
 
 variable (R)
 
+#print MvPolynomial.weightedHomogeneousSubmodule /-
 /-- The submodule of homogeneous `mv_polynomial`s of degree `n`. -/
 def weightedHomogeneousSubmodule (w : σ → M) (m : M) : Submodule R (MvPolynomial σ R)
     where
@@ -157,7 +196,14 @@ def weightedHomogeneousSubmodule (w : σ → M) (m : M) : Submodule R (MvPolynom
     · exact ha h
     · exact hb h
 #align mv_polynomial.weighted_homogeneous_submodule MvPolynomial.weightedHomogeneousSubmodule
+-/
 
+/- warning: mv_polynomial.mem_weighted_homogeneous_submodule -> MvPolynomial.mem_weightedHomogeneousSubmodule is a dubious translation:
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+  forall (R : Type.{u1}) {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] (w : σ -> M) (m : M) (p : MvPolynomial.{u3, u1} σ R _inst_1), Iff (Membership.Mem.{max u3 u1, max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Submodule.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (SetLike.hasMem.{max u3 u1, max u3 u1} (Submodule.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.{u3, u1} σ R _inst_1) (Submodule.setLike.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) p (MvPolynomial.weightedHomogeneousSubmodule.{u1, u2, u3} R M _inst_1 σ _inst_2 w m)) (MvPolynomial.IsWeightedHomogeneous.{u1, u2, u3} R M _inst_1 σ _inst_2 w p m)
+but is expected to have type
+  forall (R : Type.{u2}) {M : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u1} M] (w : σ -> M) (m : M) (p : MvPolynomial.{u3, u2} σ R _inst_1), Iff (Membership.mem.{max u2 u3, max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (Submodule.{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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (SetLike.instMembership.{max u2 u3, max u2 u3} (Submodule.{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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.{u3, u2} σ R _inst_1) (Submodule.setLike.{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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) (MvPolynomial.module.{u2, u2, u3} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) p (MvPolynomial.weightedHomogeneousSubmodule.{u2, u1, u3} R M _inst_1 σ _inst_2 w m)) (MvPolynomial.IsWeightedHomogeneous.{u2, u1, u3} R M _inst_1 σ _inst_2 w p m)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.mem_weighted_homogeneous_submodule MvPolynomial.mem_weightedHomogeneousSubmoduleₓ'. -/
 @[simp]
 theorem mem_weightedHomogeneousSubmodule (w : σ → M) (m : M) (p : MvPolynomial σ R) :
     p ∈ weightedHomogeneousSubmodule R w m ↔ p.IsWeightedHomogeneous w m :=
@@ -166,6 +212,12 @@ theorem mem_weightedHomogeneousSubmodule (w : σ → M) (m : M) (p : MvPolynomia
 
 variable (R)
 
+/- warning: mv_polynomial.weighted_homogeneous_submodule_eq_finsupp_supported -> MvPolynomial.weightedHomogeneousSubmodule_eq_finsupp_supported 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.weighted_homogeneous_submodule_eq_finsupp_supported MvPolynomial.weightedHomogeneousSubmodule_eq_finsupp_supportedₓ'. -/
 /-- The submodule ` weighted_homogeneous_submodule R w m` of homogeneous `mv_polynomial`s of
   degree `n` is equal to the `R`-submodule of all `p : (σ →₀ ℕ) →₀ R` such that
   `p.support ⊆ {d | weighted_degree' w d = m}`. While equal, the former has a
@@ -180,6 +232,12 @@ theorem weightedHomogeneousSubmodule_eq_finsupp_supported (w : σ → M) (m : M)
 
 variable {R}
 
+/- warning: mv_polynomial.weighted_homogeneous_submodule_mul -> MvPolynomial.weightedHomogeneousSubmodule_mul is a dubious translation:
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(MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (SetLike.partialOrder.{max u3 u1, max u3 u1} (Submodule.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.{u3, u1} σ R _inst_1) 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(Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Submodule.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Submodule.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (instHMul.{max u3 u1} (Submodule.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Submodule.mul.{u1, max u3 u1} R _inst_1 (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))) (MvPolynomial.weightedHomogeneousSubmodule.{u1, u2, u3} R M _inst_1 σ _inst_2 w m) (MvPolynomial.weightedHomogeneousSubmodule.{u1, u2, u3} R M _inst_1 σ _inst_2 w n)) (MvPolynomial.weightedHomogeneousSubmodule.{u1, u2, u3} R M _inst_1 σ _inst_2 w (HAdd.hAdd.{u2, u2, u2} M M M (instHAdd.{u2} M (AddZeroClass.toHasAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)))) m n))
+but is expected to have type
+  forall {R : Type.{u3}} {M : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {σ : Type.{u2}} [_inst_2 : AddCommMonoid.{u1} M] (w : σ -> M) (m : M) (n : M), LE.le.{max u3 u2} (Submodule.{u3, max u3 u2} R (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (Preorder.toLE.{max u3 u2} (Submodule.{u3, max u3 u2} R (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (PartialOrder.toPreorder.{max u3 u2} (Submodule.{u3, max u3 u2} R (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (OmegaCompletePartialOrder.toPartialOrder.{max u3 u2} (Submodule.{u3, max u3 u2} R (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (CompleteLattice.instOmegaCompletePartialOrder.{max u3 u2} (Submodule.{u3, max u3 u2} R (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (Submodule.completeLattice.{u3, max u3 u2} R (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))))))) (HMul.hMul.{max u3 u2, max u3 u2, max u3 u2} (Submodule.{u3, max u3 u2} R (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (Submodule.{u3, max u3 u2} R (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (Submodule.{u3, max u3 u2} R (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (instHMul.{max u3 u2} (Submodule.{u3, max u3 u2} R (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (Submodule.mul.{u3, max u3 u2} R _inst_1 (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (MvPolynomial.weightedHomogeneousSubmodule.{u3, u1, u2} R M _inst_1 σ _inst_2 w m) (MvPolynomial.weightedHomogeneousSubmodule.{u3, u1, u2} R M _inst_1 σ _inst_2 w n)) (MvPolynomial.weightedHomogeneousSubmodule.{u3, u1, u2} R M _inst_1 σ _inst_2 w (HAdd.hAdd.{u1, u1, u1} M M M (instHAdd.{u1} M (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)))) m n))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_homogeneous_submodule_mul MvPolynomial.weightedHomogeneousSubmodule_mulₓ'. -/
 /-- The submodule generated by products `Pm *Pn` of weighted homogeneous polynomials of degrees `m`
   and `n` is contained in the submodule of weighted homogeneous polynomials of degree `m + n`. -/
 theorem weightedHomogeneousSubmodule_mul (w : σ → M) (m n : M) :
@@ -198,6 +256,12 @@ theorem weightedHomogeneousSubmodule_mul (w : σ → M) (m n : M) :
   rw [← finsupp.mem_antidiagonal.mp hde, ← hφ aux.1, ← hψ aux.2, map_add]
 #align mv_polynomial.weighted_homogeneous_submodule_mul MvPolynomial.weightedHomogeneousSubmodule_mul
 
+/- warning: mv_polynomial.is_weighted_homogeneous_monomial -> MvPolynomial.isWeightedHomogeneous_monomial is a dubious translation:
+lean 3 declaration is
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(CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} 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, u3} R σ _inst_1 d) r) m)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.is_weighted_homogeneous_monomial MvPolynomial.isWeightedHomogeneous_monomialₓ'. -/
 /-- Monomials are weighted homogeneous. -/
 theorem isWeightedHomogeneous_monomial (w : σ → M) (d : σ →₀ ℕ) (r : R) {m : M}
     (hm : weightedDegree' w d = m) : IsWeightedHomogeneous w (monomial d r) m :=
@@ -210,6 +274,12 @@ theorem isWeightedHomogeneous_monomial (w : σ → M) (d : σ →₀ ℕ) (r : R
   · contradiction
 #align mv_polynomial.is_weighted_homogeneous_monomial MvPolynomial.isWeightedHomogeneous_monomial
 
+/- warning: mv_polynomial.is_weighted_homogeneous_of_total_degree_zero -> MvPolynomial.isWeightedHomogeneous_of_total_degree_zero is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : SemilatticeSup.{u2} M] [_inst_4 : OrderBot.{u2} M (Preorder.toLE.{u2} M (PartialOrder.toPreorder.{u2} M (SemilatticeSup.toPartialOrder.{u2} M _inst_3)))] (w : σ -> M) {p : MvPolynomial.{u3, u1} σ R _inst_1}, (Eq.{succ u2} M (MvPolynomial.weightedTotalDegree.{u1, u2, u3} R M _inst_1 σ _inst_2 _inst_3 _inst_4 w p) (Bot.bot.{u2} M (OrderBot.toHasBot.{u2} M (Preorder.toLE.{u2} M (PartialOrder.toPreorder.{u2} M (SemilatticeSup.toPartialOrder.{u2} M _inst_3))) _inst_4))) -> (MvPolynomial.IsWeightedHomogeneous.{u1, u2, u3} R M _inst_1 σ _inst_2 w p (Bot.bot.{u2} M (OrderBot.toHasBot.{u2} M (Preorder.toLE.{u2} M (PartialOrder.toPreorder.{u2} M (SemilatticeSup.toPartialOrder.{u2} M _inst_3))) _inst_4)))
+but is expected to have type
+  forall {R : Type.{u1}} {M : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u2}} [_inst_2 : AddCommMonoid.{u3} M] [_inst_3 : SemilatticeSup.{u3} M] [_inst_4 : OrderBot.{u3} M (Preorder.toLE.{u3} M (PartialOrder.toPreorder.{u3} M (SemilatticeSup.toPartialOrder.{u3} M _inst_3)))] (w : σ -> M) {p : MvPolynomial.{u2, u1} σ R _inst_1}, (Eq.{succ u3} M (MvPolynomial.weightedTotalDegree.{u1, u3, u2} R M _inst_1 σ _inst_2 _inst_3 _inst_4 w p) (Bot.bot.{u3} M (OrderBot.toBot.{u3} M (Preorder.toLE.{u3} M (PartialOrder.toPreorder.{u3} M (SemilatticeSup.toPartialOrder.{u3} M _inst_3))) _inst_4))) -> (MvPolynomial.IsWeightedHomogeneous.{u1, u3, u2} R M _inst_1 σ _inst_2 w p (Bot.bot.{u3} M (OrderBot.toBot.{u3} M (Preorder.toLE.{u3} M (PartialOrder.toPreorder.{u3} M (SemilatticeSup.toPartialOrder.{u3} M _inst_3))) _inst_4)))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.is_weighted_homogeneous_of_total_degree_zero MvPolynomial.isWeightedHomogeneous_of_total_degree_zeroₓ'. -/
 /-- A polynomial of weighted_total_degree `⊥` is weighted_homogeneous of degree `⊥`. -/
 theorem isWeightedHomogeneous_of_total_degree_zero [SemilatticeSup M] [OrderBot M] (w : σ → M)
     {p : MvPolynomial σ R} (hp : weightedTotalDegree w p = (⊥ : M)) :
@@ -221,37 +291,67 @@ theorem isWeightedHomogeneous_of_total_degree_zero [SemilatticeSup M] [OrderBot
   exact Finset.le_sup (mem_support_iff.mpr hd)
 #align mv_polynomial.is_weighted_homogeneous_of_total_degree_zero MvPolynomial.isWeightedHomogeneous_of_total_degree_zero
 
+/- warning: mv_polynomial.is_weighted_homogeneous_C -> MvPolynomial.isWeightedHomogeneous_C is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align mv_polynomial.is_weighted_homogeneous_C MvPolynomial.isWeightedHomogeneous_Cₓ'. -/
 /-- Constant polynomials are weighted homogeneous of degree 0. -/
-theorem isWeightedHomogeneous_c (w : σ → M) (r : R) :
+theorem isWeightedHomogeneous_C (w : σ → M) (r : R) :
     IsWeightedHomogeneous w (C r : MvPolynomial σ R) 0 :=
   isWeightedHomogeneous_monomial _ _ _ (map_zero _)
-#align mv_polynomial.is_weighted_homogeneous_C MvPolynomial.isWeightedHomogeneous_c
+#align mv_polynomial.is_weighted_homogeneous_C MvPolynomial.isWeightedHomogeneous_C
 
 variable (R)
 
+/- warning: mv_polynomial.is_weighted_homogeneous_zero -> MvPolynomial.isWeightedHomogeneous_zero is a dubious translation:
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 /-- 0 is weighted homogeneous of any degree. -/
 theorem isWeightedHomogeneous_zero (w : σ → M) (m : M) :
     IsWeightedHomogeneous w (0 : MvPolynomial σ R) m :=
   (weightedHomogeneousSubmodule R w m).zero_mem
 #align mv_polynomial.is_weighted_homogeneous_zero MvPolynomial.isWeightedHomogeneous_zero
 
+/- warning: mv_polynomial.is_weighted_homogeneous_one -> MvPolynomial.isWeightedHomogeneous_one is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align mv_polynomial.is_weighted_homogeneous_one MvPolynomial.isWeightedHomogeneous_oneₓ'. -/
 /-- 1 is weighted homogeneous of degree 0. -/
 theorem isWeightedHomogeneous_one (w : σ → M) : IsWeightedHomogeneous w (1 : MvPolynomial σ R) 0 :=
-  isWeightedHomogeneous_c _ _
+  isWeightedHomogeneous_C _ _
 #align mv_polynomial.is_weighted_homogeneous_one MvPolynomial.isWeightedHomogeneous_one
 
+/- warning: mv_polynomial.is_weighted_homogeneous_X -> MvPolynomial.isWeightedHomogeneous_X is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align mv_polynomial.is_weighted_homogeneous_X MvPolynomial.isWeightedHomogeneous_Xₓ'. -/
 /-- An indeterminate `i : σ` is weighted homogeneous of degree `w i`. -/
-theorem isWeightedHomogeneous_x (w : σ → M) (i : σ) :
+theorem isWeightedHomogeneous_X (w : σ → M) (i : σ) :
     IsWeightedHomogeneous w (X i : MvPolynomial σ R) (w i) :=
   by
   apply is_weighted_homogeneous_monomial
   simp only [weighted_degree', LinearMap.toAddMonoidHom_coe, total_single, one_nsmul]
-#align mv_polynomial.is_weighted_homogeneous_X MvPolynomial.isWeightedHomogeneous_x
+#align mv_polynomial.is_weighted_homogeneous_X MvPolynomial.isWeightedHomogeneous_X
 
 namespace IsWeightedHomogeneous
 
 variable {R} {φ ψ : MvPolynomial σ R} {m n : M}
 
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+Case conversion may be inaccurate. Consider using '#align mv_polynomial.is_weighted_homogeneous.coeff_eq_zero MvPolynomial.IsWeightedHomogeneous.coeff_eq_zeroₓ'. -/
 /-- The weighted degree of a weighted homogeneous polynomial controls its support. -/
 theorem coeff_eq_zero {w : σ → M} (hφ : IsWeightedHomogeneous w φ n) (d : σ →₀ ℕ)
     (hd : weightedDegree' w d ≠ n) : coeff d φ = 0 :=
@@ -260,6 +360,12 @@ theorem coeff_eq_zero {w : σ → M} (hφ : IsWeightedHomogeneous w φ n) (d : 
   rwa [Classical.not_not] at aux
 #align mv_polynomial.is_weighted_homogeneous.coeff_eq_zero MvPolynomial.IsWeightedHomogeneous.coeff_eq_zero
 
+/- warning: mv_polynomial.is_weighted_homogeneous.inj_right -> MvPolynomial.IsWeightedHomogeneous.inj_right is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] {φ : MvPolynomial.{u3, u1} σ R _inst_1} {m : M} {n : M} {w : σ -> M}, (Ne.{max (succ u3) (succ u1)} (MvPolynomial.{u3, u1} σ R _inst_1) φ (OfNat.ofNat.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) 0 (OfNat.mk.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) 0 (Zero.zero.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))))))))) -> (MvPolynomial.IsWeightedHomogeneous.{u1, u2, u3} R M _inst_1 σ _inst_2 w φ m) -> (MvPolynomial.IsWeightedHomogeneous.{u1, u2, u3} R M _inst_1 σ _inst_2 w φ n) -> (Eq.{succ u2} M m n)
+but is expected to have type
+  forall {R : Type.{u3}} {M : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {σ : Type.{u2}} [_inst_2 : AddCommMonoid.{u1} M] {φ : MvPolynomial.{u2, u3} σ R _inst_1} {m : M} {n : M} {w : σ -> M}, (Ne.{max (succ u3) (succ u2)} (MvPolynomial.{u2, u3} σ R _inst_1) φ (OfNat.ofNat.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) 0 (Zero.toOfNat0.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommMonoidWithZero.toZero.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toCommMonoidWithZero.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)))))) -> (MvPolynomial.IsWeightedHomogeneous.{u3, u1, u2} R M _inst_1 σ _inst_2 w φ m) -> (MvPolynomial.IsWeightedHomogeneous.{u3, u1, u2} R M _inst_1 σ _inst_2 w φ n) -> (Eq.{succ u1} M m n)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.is_weighted_homogeneous.inj_right MvPolynomial.IsWeightedHomogeneous.inj_rightₓ'. -/
 /-- The weighted degree of a nonzero weighted homogeneous polynomial is well-defined. -/
 theorem inj_right {w : σ → M} (hφ : φ ≠ 0) (hm : IsWeightedHomogeneous w φ m)
     (hn : IsWeightedHomogeneous w φ n) : m = n :=
@@ -268,6 +374,12 @@ theorem inj_right {w : σ → M} (hφ : φ ≠ 0) (hm : IsWeightedHomogeneous w
   rw [← hm hd, ← hn hd]
 #align mv_polynomial.is_weighted_homogeneous.inj_right MvPolynomial.IsWeightedHomogeneous.inj_right
 
+/- warning: mv_polynomial.is_weighted_homogeneous.add -> MvPolynomial.IsWeightedHomogeneous.add is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] {φ : MvPolynomial.{u3, u1} σ R _inst_1} {ψ : MvPolynomial.{u3, u1} σ R _inst_1} {n : M} {w : σ -> M}, (MvPolynomial.IsWeightedHomogeneous.{u1, u2, u3} R M _inst_1 σ _inst_2 w φ n) -> (MvPolynomial.IsWeightedHomogeneous.{u1, u2, u3} R M _inst_1 σ _inst_2 w ψ n) -> (MvPolynomial.IsWeightedHomogeneous.{u1, u2, u3} R M _inst_1 σ _inst_2 w (HAdd.hAdd.{max u3 u1, max u3 u1, max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (instHAdd.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Distrib.toHasAdd.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))))) φ ψ) n)
+but is expected to have type
+  forall {R : Type.{u3}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u3} R] {σ : Type.{u1}} [_inst_2 : AddCommMonoid.{u2} M] {φ : MvPolynomial.{u1, u3} σ R _inst_1} {ψ : MvPolynomial.{u1, u3} σ R _inst_1} {n : M} {w : σ -> M}, (MvPolynomial.IsWeightedHomogeneous.{u3, u2, u1} R M _inst_1 σ _inst_2 w φ n) -> (MvPolynomial.IsWeightedHomogeneous.{u3, u2, u1} R M _inst_1 σ _inst_2 w ψ n) -> (MvPolynomial.IsWeightedHomogeneous.{u3, u2, u1} R M _inst_1 σ _inst_2 w (HAdd.hAdd.{max u3 u1, max u3 u1, max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u3} σ R _inst_1) (instHAdd.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Distrib.toAdd.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{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))))))) φ ψ) n)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.is_weighted_homogeneous.add MvPolynomial.IsWeightedHomogeneous.addₓ'. -/
 /-- The sum of two weighted homogeneous polynomials of degree `n` is weighted homogeneous of
   weighted degree `n`. -/
 theorem add {w : σ → M} (hφ : IsWeightedHomogeneous w φ n) (hψ : IsWeightedHomogeneous w ψ n) :
@@ -275,6 +387,12 @@ theorem add {w : σ → M} (hφ : IsWeightedHomogeneous w φ n) (hψ : IsWeighte
   (weightedHomogeneousSubmodule R w n).add_mem hφ hψ
 #align mv_polynomial.is_weighted_homogeneous.add MvPolynomial.IsWeightedHomogeneous.add
 
+/- warning: mv_polynomial.is_weighted_homogeneous.sum -> MvPolynomial.IsWeightedHomogeneous.sum is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] {ι : Type.{u4}} (s : Finset.{u4} ι) (φ : ι -> (MvPolynomial.{u3, u1} σ R _inst_1)) (n : M) {w : σ -> M}, (forall (i : ι), (Membership.Mem.{u4, u4} ι (Finset.{u4} ι) (Finset.hasMem.{u4} ι) i s) -> (MvPolynomial.IsWeightedHomogeneous.{u1, u2, u3} R M _inst_1 σ _inst_2 w (φ i) n)) -> (MvPolynomial.IsWeightedHomogeneous.{u1, u2, u3} R M _inst_1 σ _inst_2 w (Finset.sum.{max u3 u1, u4} (MvPolynomial.{u3, u1} σ R _inst_1) ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) s (fun (i : ι) => φ i)) n)
+but is expected to have type
+  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u1} M] {ι : Type.{u4}} (s : Finset.{u4} ι) (φ : ι -> (MvPolynomial.{u3, u2} σ R _inst_1)) (n : M) {w : σ -> M}, (forall (i : ι), (Membership.mem.{u4, u4} ι (Finset.{u4} ι) (Finset.instMembershipFinset.{u4} ι) i s) -> (MvPolynomial.IsWeightedHomogeneous.{u2, u1, u3} R M _inst_1 σ _inst_2 w (φ i) n)) -> (MvPolynomial.IsWeightedHomogeneous.{u2, u1, u3} R M _inst_1 σ _inst_2 w (Finset.sum.{max u3 u2, u4} (MvPolynomial.{u3, u2} σ R _inst_1) ι (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 u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1))))) s (fun (i : ι) => φ i)) n)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.is_weighted_homogeneous.sum MvPolynomial.IsWeightedHomogeneous.sumₓ'. -/
 /-- The sum of weighted homogeneous polynomials of degree `n` is weighted homogeneous of
   weighted degree `n`. -/
 theorem sum {ι : Type _} (s : Finset ι) (φ : ι → MvPolynomial σ R) (n : M) {w : σ → M}
@@ -282,6 +400,12 @@ theorem sum {ι : Type _} (s : Finset ι) (φ : ι → MvPolynomial σ R) (n : M
   (weightedHomogeneousSubmodule R w n).sum_mem h
 #align mv_polynomial.is_weighted_homogeneous.sum MvPolynomial.IsWeightedHomogeneous.sum
 
+/- warning: mv_polynomial.is_weighted_homogeneous.mul -> MvPolynomial.IsWeightedHomogeneous.mul is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] {φ : MvPolynomial.{u3, u1} σ R _inst_1} {ψ : MvPolynomial.{u3, u1} σ R _inst_1} {m : M} {n : M} {w : σ -> M}, (MvPolynomial.IsWeightedHomogeneous.{u1, u2, u3} R M _inst_1 σ _inst_2 w φ m) -> (MvPolynomial.IsWeightedHomogeneous.{u1, u2, u3} R M _inst_1 σ _inst_2 w ψ n) -> (MvPolynomial.IsWeightedHomogeneous.{u1, u2, u3} R M _inst_1 σ _inst_2 w (HMul.hMul.{max u3 u1, max u3 u1, max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (instHMul.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Distrib.toHasMul.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))))) φ ψ) (HAdd.hAdd.{u2, u2, u2} M M M (instHAdd.{u2} M (AddZeroClass.toHasAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)))) m n))
+but is expected to have type
+  forall {R : Type.{u3}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u3} R] {σ : Type.{u1}} [_inst_2 : AddCommMonoid.{u2} M] {φ : MvPolynomial.{u1, u3} σ R _inst_1} {ψ : MvPolynomial.{u1, u3} σ R _inst_1} {m : M} {n : M} {w : σ -> M}, (MvPolynomial.IsWeightedHomogeneous.{u3, u2, u1} R M _inst_1 σ _inst_2 w φ m) -> (MvPolynomial.IsWeightedHomogeneous.{u3, u2, u1} R M _inst_1 σ _inst_2 w ψ n) -> (MvPolynomial.IsWeightedHomogeneous.{u3, u2, u1} R M _inst_1 σ _inst_2 w (HMul.hMul.{max u3 u1, max u3 u1, max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u3} σ R _inst_1) (instHMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (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)))))) φ ψ) (HAdd.hAdd.{u2, u2, u2} M M M (instHAdd.{u2} M (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)))) m n))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.is_weighted_homogeneous.mul MvPolynomial.IsWeightedHomogeneous.mulₓ'. -/
 /-- The product of weighted homogeneous polynomials of weighted degrees `m` and `n` is weighted
   homogeneous of weighted degree `m + n`. -/
 theorem mul {w : σ → M} (hφ : IsWeightedHomogeneous w φ m) (hψ : IsWeightedHomogeneous w ψ n) :
@@ -289,6 +413,12 @@ theorem mul {w : σ → M} (hφ : IsWeightedHomogeneous w φ m) (hψ : IsWeighte
   weightedHomogeneousSubmodule_mul w m n <| Submodule.mul_mem_mul hφ hψ
 #align mv_polynomial.is_weighted_homogeneous.mul MvPolynomial.IsWeightedHomogeneous.mul
 
+/- warning: mv_polynomial.is_weighted_homogeneous.prod -> MvPolynomial.IsWeightedHomogeneous.prod is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] {ι : Type.{u4}} (s : Finset.{u4} ι) (φ : ι -> (MvPolynomial.{u3, u1} σ R _inst_1)) (n : ι -> M) {w : σ -> M}, (forall (i : ι), (Membership.Mem.{u4, u4} ι (Finset.{u4} ι) (Finset.hasMem.{u4} ι) i s) -> (MvPolynomial.IsWeightedHomogeneous.{u1, u2, u3} R M _inst_1 σ _inst_2 w (φ i) (n i))) -> (MvPolynomial.IsWeightedHomogeneous.{u1, u2, u3} R M _inst_1 σ _inst_2 w (Finset.prod.{max u3 u1, u4} (MvPolynomial.{u3, u1} σ R _inst_1) ι (CommSemiring.toCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) s (fun (i : ι) => φ i)) (Finset.sum.{u2, u4} M ι _inst_2 s (fun (i : ι) => n i)))
+but is expected to have type
+  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u1} M] {ι : Type.{u4}} (s : Finset.{u4} ι) (φ : ι -> (MvPolynomial.{u3, u2} σ R _inst_1)) (n : ι -> M) {w : σ -> M}, (forall (i : ι), (Membership.mem.{u4, u4} ι (Finset.{u4} ι) (Finset.instMembershipFinset.{u4} ι) i s) -> (MvPolynomial.IsWeightedHomogeneous.{u2, u1, u3} R M _inst_1 σ _inst_2 w (φ i) (n i))) -> (MvPolynomial.IsWeightedHomogeneous.{u2, u1, u3} R M _inst_1 σ _inst_2 w (Finset.prod.{max u3 u2, u4} (MvPolynomial.{u3, u2} σ R _inst_1) ι (CommSemiring.toCommMonoid.{max u2 u3} (MvPolynomial.{u3, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u3} R σ _inst_1)) s (fun (i : ι) => φ i)) (Finset.sum.{u1, u4} M ι _inst_2 s (fun (i : ι) => n i)))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.is_weighted_homogeneous.prod MvPolynomial.IsWeightedHomogeneous.prodₓ'. -/
 /-- A product of weighted homogeneous polynomials is weighted homogeneous, with weighted degree
   equal to the sum of the weighted degrees. -/
 theorem prod {ι : Type _} (s : Finset ι) (φ : ι → MvPolynomial σ R) (n : ι → M) {w : σ → M} :
@@ -305,6 +435,12 @@ theorem prod {ι : Type _} (s : Finset ι) (φ : ι → MvPolynomial σ R) (n :
     exact h j (Finset.mem_insert_of_mem hjs)
 #align mv_polynomial.is_weighted_homogeneous.prod MvPolynomial.IsWeightedHomogeneous.prod
 
+/- warning: mv_polynomial.is_weighted_homogeneous.weighted_total_degree -> MvPolynomial.IsWeightedHomogeneous.weighted_total_degree is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] {φ : MvPolynomial.{u3, u1} σ R _inst_1} {n : M} [_inst_3 : SemilatticeSup.{u2} M] {w : σ -> M}, (MvPolynomial.IsWeightedHomogeneous.{u1, u2, u3} R M _inst_1 σ _inst_2 w φ n) -> (Ne.{max (succ u3) (succ u1)} (MvPolynomial.{u3, u1} σ R _inst_1) φ (OfNat.ofNat.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) 0 (OfNat.mk.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) 0 (Zero.zero.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))))))))) -> (Eq.{succ u2} (WithBot.{u2} M) (MvPolynomial.weightedTotalDegree'.{u1, u2, u3} R M _inst_1 σ _inst_2 _inst_3 w φ) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) M (WithBot.{u2} M) (HasLiftT.mk.{succ u2, succ u2} M (WithBot.{u2} M) (CoeTCₓ.coe.{succ u2, succ u2} M (WithBot.{u2} M) (WithBot.hasCoeT.{u2} M))) n))
+but is expected to have type
+  forall {R : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommSemiring.{u2} R] {σ : Type.{u1}} [_inst_2 : AddCommMonoid.{u3} M] {φ : MvPolynomial.{u1, u2} σ R _inst_1} {n : M} [_inst_3 : SemilatticeSup.{u3} M] {w : σ -> M}, (MvPolynomial.IsWeightedHomogeneous.{u2, u3, u1} R M _inst_1 σ _inst_2 w φ n) -> (Ne.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) φ (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) 0 (Zero.toOfNat0.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommMonoidWithZero.toZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toCommMonoidWithZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) -> (Eq.{succ u3} (WithBot.{u3} M) (MvPolynomial.weightedTotalDegree'.{u2, u3, u1} R M _inst_1 σ _inst_2 _inst_3 w φ) (WithBot.some.{u3} M n))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.is_weighted_homogeneous.weighted_total_degree MvPolynomial.IsWeightedHomogeneous.weighted_total_degreeₓ'. -/
 /-- A non zero weighted homogeneous polynomial of weighted degree `n` has weighted total degree
   `n`. -/
 theorem weighted_total_degree [SemilatticeSup M] {w : σ → M} (hφ : IsWeightedHomogeneous w φ n)
@@ -320,6 +456,7 @@ theorem weighted_total_degree [SemilatticeSup M] {w : σ → M} (hφ : IsWeighte
     exact Finset.le_sup hd
 #align mv_polynomial.is_weighted_homogeneous.weighted_total_degree MvPolynomial.IsWeightedHomogeneous.weighted_total_degree
 
+#print MvPolynomial.IsWeightedHomogeneous.WeightedHomogeneousSubmodule.gcomm_monoid /-
 /-- The weighted homogeneous submodules form a graded monoid. -/
 instance WeightedHomogeneousSubmodule.gcomm_monoid {w : σ → M} :
     SetLike.GradedMonoid (weightedHomogeneousSubmodule R w)
@@ -327,11 +464,13 @@ instance WeightedHomogeneousSubmodule.gcomm_monoid {w : σ → M} :
   one_mem := isWeightedHomogeneous_one R w
   mul_mem i j xi xj := IsWeightedHomogeneous.mul
 #align mv_polynomial.is_weighted_homogeneous.weighted_homogeneous_submodule.gcomm_monoid MvPolynomial.IsWeightedHomogeneous.WeightedHomogeneousSubmodule.gcomm_monoid
+-/
 
 end IsWeightedHomogeneous
 
 variable {R}
 
+#print MvPolynomial.weightedHomogeneousComponent /-
 /-- `weighted_homogeneous_component w n φ` is the part of `φ` that is weighted homogeneous of
   weighted degree `n`, with respect to the weights `w`.
   See `sum_weighted_homogeneous_component` for the statement that `φ` is equal to the sum
@@ -339,23 +478,42 @@ variable {R}
 def weightedHomogeneousComponent (w : σ → M) (n : M) : MvPolynomial σ R →ₗ[R] MvPolynomial σ R :=
   (Submodule.subtype _).comp <| Finsupp.restrictDom _ _ { d | weightedDegree' w d = n }
 #align mv_polynomial.weighted_homogeneous_component MvPolynomial.weightedHomogeneousComponent
+-/
 
 section WeightedHomogeneousComponent
 
 variable {w : σ → M} (n : M) (φ ψ : MvPolynomial σ R)
 
+/- warning: mv_polynomial.coeff_weighted_homogeneous_component -> MvPolynomial.coeff_weightedHomogeneousComponent is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_weighted_homogeneous_component MvPolynomial.coeff_weightedHomogeneousComponentₓ'. -/
 theorem coeff_weightedHomogeneousComponent (d : σ →₀ ℕ) :
     coeff d (weightedHomogeneousComponent w n φ) =
       if weightedDegree' w d = n then coeff d φ else 0 :=
   Finsupp.filter_apply (fun d : σ →₀ ℕ => weightedDegree' w d = n) φ d
 #align mv_polynomial.coeff_weighted_homogeneous_component MvPolynomial.coeff_weightedHomogeneousComponent
 
+/- warning: mv_polynomial.weighted_homogeneous_component_apply -> MvPolynomial.weightedHomogeneousComponent_apply is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_homogeneous_component_apply MvPolynomial.weightedHomogeneousComponent_applyₓ'. -/
 theorem weightedHomogeneousComponent_apply :
     weightedHomogeneousComponent w n φ =
       ∑ d in φ.support.filterₓ fun d => weightedDegree' w d = n, monomial d (coeff d φ) :=
   Finsupp.filter_eq_sum (fun d : σ →₀ ℕ => weightedDegree' w d = n) φ
 #align mv_polynomial.weighted_homogeneous_component_apply MvPolynomial.weightedHomogeneousComponent_apply
 
+/- warning: mv_polynomial.weighted_homogeneous_component_is_weighted_homogeneous -> MvPolynomial.weightedHomogeneousComponent_isWeightedHomogeneous is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_homogeneous_component_is_weighted_homogeneous MvPolynomial.weightedHomogeneousComponent_isWeightedHomogeneousₓ'. -/
 /-- The `n` weighted homogeneous component of a polynomial is weighted homogeneous of
 weighted degree `n`. -/
 theorem weightedHomogeneousComponent_isWeightedHomogeneous :
@@ -366,12 +524,24 @@ theorem weightedHomogeneousComponent_isWeightedHomogeneous :
   rw [coeff_weighted_homogeneous_component, if_neg hd]
 #align mv_polynomial.weighted_homogeneous_component_is_weighted_homogeneous MvPolynomial.weightedHomogeneousComponent_isWeightedHomogeneous
 
+/- warning: mv_polynomial.weighted_homogeneous_component_C_mul -> MvPolynomial.weightedHomogeneousComponent_C_mul 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.weighted_homogeneous_component_C_mul MvPolynomial.weightedHomogeneousComponent_C_mulₓ'. -/
 @[simp]
-theorem weightedHomogeneousComponent_c_mul (n : M) (r : R) :
+theorem weightedHomogeneousComponent_C_mul (n : M) (r : R) :
     weightedHomogeneousComponent w n (C r * φ) = C r * weightedHomogeneousComponent w n φ := by
   simp only [C_mul', LinearMap.map_smul]
-#align mv_polynomial.weighted_homogeneous_component_C_mul MvPolynomial.weightedHomogeneousComponent_c_mul
-
+#align mv_polynomial.weighted_homogeneous_component_C_mul MvPolynomial.weightedHomogeneousComponent_C_mul
+
+/- warning: mv_polynomial.weighted_homogeneous_component_eq_zero' -> MvPolynomial.weightedHomogeneousComponent_eq_zero' is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_homogeneous_component_eq_zero' MvPolynomial.weightedHomogeneousComponent_eq_zero'ₓ'. -/
 theorem weightedHomogeneousComponent_eq_zero'
     (h : ∀ d : σ →₀ ℕ, d ∈ φ.support → weightedDegree' w d ≠ n) :
     weightedHomogeneousComponent w n φ = 0 :=
@@ -381,6 +551,12 @@ theorem weightedHomogeneousComponent_eq_zero'
   exfalso; exact h _ hd.1 hd.2
 #align mv_polynomial.weighted_homogeneous_component_eq_zero' MvPolynomial.weightedHomogeneousComponent_eq_zero'
 
+/- warning: mv_polynomial.weighted_homogeneous_component_eq_zero -> MvPolynomial.weightedHomogeneousComponent_eq_zero is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_homogeneous_component_eq_zero MvPolynomial.weightedHomogeneousComponent_eq_zeroₓ'. -/
 theorem weightedHomogeneousComponent_eq_zero [SemilatticeSup M] [OrderBot M]
     (h : weightedTotalDegree w φ < n) : weightedHomogeneousComponent w n φ = 0 :=
   by
@@ -392,6 +568,12 @@ theorem weightedHomogeneousComponent_eq_zero [SemilatticeSup M] [OrderBot M]
   exact lt_of_le_of_lt (le_weighted_total_degree w hd.1) h
 #align mv_polynomial.weighted_homogeneous_component_eq_zero MvPolynomial.weightedHomogeneousComponent_eq_zero
 
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+Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_homogeneous_component_finsupp MvPolynomial.weightedHomogeneousComponent_finsuppₓ'. -/
 theorem weightedHomogeneousComponent_finsupp :
     (Function.support fun m => weightedHomogeneousComponent w m φ).Finite :=
   by
@@ -410,6 +592,12 @@ theorem weightedHomogeneousComponent_finsupp :
 
 variable (w)
 
+/- warning: mv_polynomial.sum_weighted_homogeneous_component -> MvPolynomial.sum_weightedHomogeneousComponent is a dubious translation:
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R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, max u3 u1, max u3 u1} 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))) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 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(MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.module.{u1, u1, u3} 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.weightedHomogeneousComponent.{u1, u2, u3} R M _inst_1 σ _inst_2 w m) φ)) φ
+but is expected to have type
+  forall {R : Type.{u3}} {M : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {σ : Type.{u2}} [_inst_2 : AddCommMonoid.{u1} M] (w : σ -> M) (φ : MvPolynomial.{u2, u3} σ R _inst_1), Eq.{max (succ u3) (succ u2)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u2, u3} σ R _inst_1) => MvPolynomial.{u2, u3} σ R _inst_1) φ) (finsum.{max u3 u2, succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u2, u3} σ R _inst_1) => MvPolynomial.{u2, u3} σ R _inst_1) φ) M (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u2, u3} σ R _inst_1) => MvPolynomial.{u2, u3} σ R _inst_1) φ) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u2, u3} σ R _inst_1) => MvPolynomial.{u2, u3} σ R _inst_1) φ) (Semiring.toNonAssocSemiring.{max u3 u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u2, u3} σ R _inst_1) => MvPolynomial.{u2, u3} σ R _inst_1) φ) (CommSemiring.toSemiring.{max u3 u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u2, u3} σ R _inst_1) => MvPolynomial.{u2, u3} σ R _inst_1) φ) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (fun (m : M) => FunLike.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u3, u3, max u3 u2, max u3 u2} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.{u2, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.{u2, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u2, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : MvPolynomial.{u2, u3} σ R _inst_1) => MvPolynomial.{u2, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max u2 u3, max u2 u3} R R (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.module.{u3, u3, u2} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.weightedHomogeneousComponent.{u3, u1, u2} R M _inst_1 σ _inst_2 w m) φ)) φ
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.sum_weighted_homogeneous_component MvPolynomial.sum_weightedHomogeneousComponentₓ'. -/
 /-- Every polynomial is the sum of its weighted homogeneous components. -/
 theorem sum_weightedHomogeneousComponent :
     (finsum fun m => weightedHomogeneousComponent w m φ) = φ :=
@@ -431,6 +619,12 @@ theorem sum_weightedHomogeneousComponent :
 
 variable {w}
 
+/- warning: mv_polynomial.weighted_homogeneous_component_weighted_homogeneous_polynomial -> MvPolynomial.weightedHomogeneousComponent_weighted_homogeneous_polynomial is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {σ : Type.{u3}} [_inst_2 : AddCommMonoid.{u2} M] {w : σ -> M} (m : M) (n : M) (p : MvPolynomial.{u3, u1} σ R _inst_1), (Membership.Mem.{max u3 u1, max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Submodule.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (SetLike.hasMem.{max u3 u1, max u3 u1} (Submodule.{u1, max u3 u1} R 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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_homogeneous_component_weighted_homogeneous_polynomial MvPolynomial.weightedHomogeneousComponent_weighted_homogeneous_polynomialₓ'. -/
 /-- The weighted homogeneous components of a weighted homogeneous polynomial. -/
 theorem weightedHomogeneousComponent_weighted_homogeneous_polynomial (m n : M)
     (p : MvPolynomial σ R) (h : p ∈ weightedHomogeneousSubmodule R w n) :
@@ -457,6 +651,12 @@ section CanonicallyOrderedAddMonoid
 
 variable [CanonicallyOrderedAddMonoid M] {w : σ → M} (φ : MvPolynomial σ R)
 
+/- warning: mv_polynomial.weighted_homogeneous_component_zero -> MvPolynomial.weightedHomogeneousComponent_zero is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall {R : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommSemiring.{u2} R] {σ : Type.{u1}} [_inst_2 : CanonicallyOrderedAddMonoid.{u3} M] {w : σ -> M} (φ : MvPolynomial.{u1, u2} σ R _inst_1) [_inst_3 : NoZeroSMulDivisors.{0, u3} Nat M (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (OrderedAddCommMonoid.toAddCommMonoid.{u3} M (CanonicallyOrderedAddMonoid.toOrderedAddCommMonoid.{u3} M _inst_2)))) (AddMonoid.SMul.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (OrderedAddCommMonoid.toAddCommMonoid.{u3} M (CanonicallyOrderedAddMonoid.toOrderedAddCommMonoid.{u3} M _inst_2))))], (forall (i : σ), Ne.{succ u3} M (w i) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (OrderedAddCommMonoid.toAddCommMonoid.{u3} M (CanonicallyOrderedAddMonoid.toOrderedAddCommMonoid.{u3} M _inst_2))))))) -> (Eq.{max (succ u2) (succ u1)} ((fun 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+Case conversion may be inaccurate. Consider using '#align mv_polynomial.weighted_homogeneous_component_zero MvPolynomial.weightedHomogeneousComponent_zeroₓ'. -/
 /-- If `M` is a `canonically_ordered_add_monoid`, then the `weighted_homogeneous_component`
   of weighted degree `0` of a polynomial is its constant coefficient. -/
 @[simp]

mathlib commit https://github.com/leanprover-community/mathlib/commit/b685f506164f8d17a6404048bc4d696739c5d976

A PR analogous to #12338 and #12361: reformatting proofs following the multiple goals linter of #12339.

@@ -443,7 +443,8 @@ theorem IsWeightedHomogeneous.weightedHomogeneousComponent_same {m : M} {p : MvP
   rw [coeff_weightedHomogeneousComponent]
   by_cases zero_coeff : coeff x p = 0
   · split_ifs
-    rfl; rw [zero_coeff]
+    · rfl
+    rw [zero_coeff]
   · rw [hp zero_coeff, if_pos]; rfl
 
 theorem IsWeightedHomogeneous.weightedHomogeneousComponent_ne {m : M} (n : M)
@@ -455,8 +456,11 @@ theorem IsWeightedHomogeneous.weightedHomogeneousComponent_ne {m : M} (n : M)
   rw [coeff_weightedHomogeneousComponent]
   by_cases zero_coeff : coeff x p = 0
   · split_ifs
-    rw [zero_coeff]; rw [coeff_zero]; rw [coeff_zero]
-  · rw [if_neg]; rw [coeff_zero]; rw [hp zero_coeff]; exact Ne.symm hn
+    · rw [zero_coeff]; rw [coeff_zero]
+    · rw [coeff_zero]
+  · rw [if_neg]
+    · rw [coeff_zero]
+    · rw [hp zero_coeff]; exact Ne.symm hn
 
 /-- The weighted homogeneous components of a weighted homogeneous polynomial. -/
 theorem weightedHomogeneousComponent_weighted_homogeneous_polynomial [DecidableEq M] (m n : M)

These are changes from #11997, the latest adaptation PR for nightly-2024-04-07, which can be made directly on master.

Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Ruben Van de Velde <65514131+Ruben-VandeVelde@users.noreply.github.com>

@@ -494,7 +494,7 @@ theorem weightedHomogeneousComponent_zero [NoZeroSMulDivisors ℕ M] (hw : ∀ i
   · simp only [coeff_weightedHomogeneousComponent, if_pos, map_zero, coeff_zero_C]
   · rw [coeff_weightedHomogeneousComponent, if_neg, coeff_C, if_neg (Ne.symm hd)]
     simp only [weightedDegree, LinearMap.toAddMonoidHom_coe, Finsupp.total_apply, Finsupp.sum,
-      sum_eq_zero_iff, Finsupp.mem_support_iff, Ne.def, smul_eq_zero, not_forall, not_or,
+      sum_eq_zero_iff, Finsupp.mem_support_iff, Ne, smul_eq_zero, not_forall, not_or,
       and_self_left, exists_prop]
     simp only [DFunLike.ext_iff, Finsupp.coe_zero, Pi.zero_apply, not_forall] at hd
     obtain ⟨i, hi⟩ := hd

We rewrite the definition of homogeneous polynomial as a special case of weighted homogeneous polynomial.

Question: should all uses of ∑ i in d.support, d i be replaced by degree d?

Co-authored-by: Antoine Chambert-Loir <antoine.chambert-loir@u-paris.fr>

Co-authored-by: María Inés de Frutos-Fernández <88536493+mariainesdff@users.noreply.github.com>

@@ -4,6 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Antoine Chambert-Loir, María Inés de Frutos-Fernández
 -/
 import Mathlib.Algebra.GradedMonoid
+import Mathlib.Algebra.Order.Monoid.Canonical.Defs
 import Mathlib.Algebra.MvPolynomial.Basic
 
 #align_import ring_theory.mv_polynomial.weighted_homogeneous from "leanprover-community/mathlib"@"2f5b500a507264de86d666a5f87ddb976e2d8de4"
@@ -57,22 +58,25 @@ section AddCommMonoid
 
 variable [AddCommMonoid M]
 
-/-! ### `weightedDegree'` -/
+/-! ### `weightedDegree` -/
 
 
-/-- The `weightedDegree'` of the finitely supported function `s : σ →₀ ℕ` is the sum
+/-- The `weightedDegree` of the finitely supported function `s : σ →₀ ℕ` is the sum
   `∑(s i)•(w i)`. -/
-def weightedDegree' (w : σ → M) : (σ →₀ ℕ) →+ M :=
+def weightedDegree (w : σ → M) : (σ →₀ ℕ) →+ M :=
   (Finsupp.total σ M ℕ w).toAddMonoidHom
-#align mv_polynomial.weighted_degree' MvPolynomial.weightedDegree'
+#align mv_polynomial.weighted_degree' MvPolynomial.weightedDegree
 
+theorem weightedDegree_apply (w : σ → M) (f : σ →₀ ℕ):
+    weightedDegree w f = Finsupp.sum f (fun i c => c • w i) := by
+  rfl
 section SemilatticeSup
 
 variable [SemilatticeSup M]
 
 /-- The weighted total degree of a multivariate polynomial, taking values in `WithBot M`. -/
 def weightedTotalDegree' (w : σ → M) (p : MvPolynomial σ R) : WithBot M :=
-  p.support.sup fun s => weightedDegree' w s
+  p.support.sup fun s => weightedDegree w s
 #align mv_polynomial.weighted_total_degree' MvPolynomial.weightedTotalDegree'
 
 /-- The `weightedTotalDegree'` of a polynomial `p` is `⊥` if and only if `p = 0`. -/
@@ -95,7 +99,7 @@ variable [OrderBot M]
 /-- When `M` has a `⊥` element, we can define the weighted total degree of a multivariate
   polynomial as a function taking values in `M`. -/
 def weightedTotalDegree (w : σ → M) (p : MvPolynomial σ R) : M :=
-  p.support.sup fun s => weightedDegree' w s
+  p.support.sup fun s => weightedDegree w s
 #align mv_polynomial.weighted_total_degree MvPolynomial.weightedTotalDegree
 
 /-- This lemma relates `weightedTotalDegree` and `weightedTotalDegree'`. -/
@@ -119,7 +123,7 @@ theorem weightedTotalDegree_zero (w : σ → M) : weightedTotalDegree w (0 : MvP
 #align mv_polynomial.weighted_total_degree_zero MvPolynomial.weightedTotalDegree_zero
 
 theorem le_weightedTotalDegree (w : σ → M) {φ : MvPolynomial σ R} {d : σ →₀ ℕ}
-    (hd : d ∈ φ.support) : weightedDegree' w d ≤ φ.weightedTotalDegree w :=
+    (hd : d ∈ φ.support) : weightedDegree w d ≤ φ.weightedTotalDegree w :=
   le_sup hd
 #align mv_polynomial.le_weighted_total_degree MvPolynomial.le_weightedTotalDegree
 
@@ -130,7 +134,7 @@ end SemilatticeSup
 /-- A multivariate polynomial `φ` is weighted homogeneous of weighted degree `m` if all monomials
   occurring in `φ` have weighted degree `m`. -/
 def IsWeightedHomogeneous (w : σ → M) (φ : MvPolynomial σ R) (m : M) : Prop :=
-  ∀ ⦃d⦄, coeff d φ ≠ 0 → weightedDegree' w d = m
+  ∀ ⦃d⦄, coeff d φ ≠ 0 → weightedDegree w d = m
 #align mv_polynomial.is_weighted_homogeneous MvPolynomial.IsWeightedHomogeneous
 
 variable (R)
@@ -159,10 +163,10 @@ theorem mem_weightedHomogeneousSubmodule (w : σ → M) (m : M) (p : MvPolynomia
 
 /-- The submodule `weightedHomogeneousSubmodule R w m` of homogeneous `MvPolynomial`s of
   degree `n` is equal to the `R`-submodule of all `p : (σ →₀ ℕ) →₀ R` such that
-  `p.support ⊆ {d | weightedDegree' w d = m}`. While equal, the former has a
+  `p.support ⊆ {d | weightedDegree w d = m}`. While equal, the former has a
   convenient definitional reduction. -/
 theorem weightedHomogeneousSubmodule_eq_finsupp_supported (w : σ → M) (m : M) :
-    weightedHomogeneousSubmodule R w m = Finsupp.supported R R { d | weightedDegree' w d = m } := by
+    weightedHomogeneousSubmodule R w m = Finsupp.supported R R { d | weightedDegree w d = m } := by
   ext x
   rw [mem_supported, Set.subset_def]
   simp only [Finsupp.mem_support_iff, mem_coe]
@@ -190,7 +194,7 @@ theorem weightedHomogeneousSubmodule_mul (w : σ → M) (m n : M) :
 
 /-- Monomials are weighted homogeneous. -/
 theorem isWeightedHomogeneous_monomial (w : σ → M) (d : σ →₀ ℕ) (r : R) {m : M}
-    (hm : weightedDegree' w d = m) : IsWeightedHomogeneous w (monomial d r) m := by
+    (hm : weightedDegree w d = m) : IsWeightedHomogeneous w (monomial d r) m := by
   classical
   intro c hc
   rw [coeff_monomial] at hc
@@ -235,7 +239,7 @@ theorem isWeightedHomogeneous_one (w : σ → M) : IsWeightedHomogeneous w (1 :
 theorem isWeightedHomogeneous_X (w : σ → M) (i : σ) :
     IsWeightedHomogeneous w (X i : MvPolynomial σ R) (w i) := by
   apply isWeightedHomogeneous_monomial
-  simp only [weightedDegree', LinearMap.toAddMonoidHom_coe, total_single, one_nsmul]
+  simp only [weightedDegree, LinearMap.toAddMonoidHom_coe, total_single, one_nsmul]
 set_option linter.uppercaseLean3 false in
 #align mv_polynomial.is_weighted_homogeneous_X MvPolynomial.isWeightedHomogeneous_X
 
@@ -246,7 +250,7 @@ variable {φ ψ : MvPolynomial σ R} {m n : M}
 
 /-- The weighted degree of a weighted homogeneous polynomial controls its support. -/
 theorem coeff_eq_zero {w : σ → M} (hφ : IsWeightedHomogeneous w φ n) (d : σ →₀ ℕ)
-    (hd : weightedDegree' w d ≠ n) : coeff d φ = 0 := by
+    (hd : weightedDegree w d ≠ n) : coeff d φ = 0 := by
   have aux := mt (@hφ d) hd
   rwa [Classical.not_not] at aux
 #align mv_polynomial.is_weighted_homogeneous.coeff_eq_zero MvPolynomial.IsWeightedHomogeneous.coeff_eq_zero
@@ -326,7 +330,7 @@ variable {R}
   of all its weighted homogeneous components. -/
 def weightedHomogeneousComponent (w : σ → M) (n : M) : MvPolynomial σ R →ₗ[R] MvPolynomial σ R :=
   letI := Classical.decEq M
-  (Submodule.subtype _).comp <| Finsupp.restrictDom _ _ { d | weightedDegree' w d = n }
+  (Submodule.subtype _).comp <| Finsupp.restrictDom _ _ { d | weightedDegree w d = n }
 #align mv_polynomial.weighted_homogeneous_component MvPolynomial.weightedHomogeneousComponent
 
 section WeightedHomogeneousComponent
@@ -335,16 +339,16 @@ variable {w : σ → M} (n : M) (φ ψ : MvPolynomial σ R)
 
 theorem coeff_weightedHomogeneousComponent [DecidableEq M] (d : σ →₀ ℕ) :
     coeff d (weightedHomogeneousComponent w n φ) =
-      if weightedDegree' w d = n then coeff d φ else 0 :=
+      if weightedDegree w d = n then coeff d φ else 0 :=
   letI := Classical.decEq M
-  Finsupp.filter_apply (fun d : σ →₀ ℕ => weightedDegree' w d = n) φ d |>.trans <| by convert rfl
+  Finsupp.filter_apply (fun d : σ →₀ ℕ => weightedDegree w d = n) φ d |>.trans <| by convert rfl
 #align mv_polynomial.coeff_weighted_homogeneous_component MvPolynomial.coeff_weightedHomogeneousComponent
 
 theorem weightedHomogeneousComponent_apply [DecidableEq M] :
     weightedHomogeneousComponent w n φ =
-      ∑ d in φ.support.filter fun d => weightedDegree' w d = n, monomial d (coeff d φ) :=
+      ∑ d in φ.support.filter fun d => weightedDegree w d = n, monomial d (coeff d φ) :=
   letI := Classical.decEq M
-  Finsupp.filter_eq_sum (fun d : σ →₀ ℕ => weightedDegree' w d = n) φ |>.trans <| by convert rfl
+  Finsupp.filter_eq_sum (fun d : σ →₀ ℕ => weightedDegree w d = n) φ |>.trans <| by convert rfl
 #align mv_polynomial.weighted_homogeneous_component_apply MvPolynomial.weightedHomogeneousComponent_apply
 
 /-- The `n` weighted homogeneous component of a polynomial is weighted homogeneous of
@@ -357,6 +361,11 @@ theorem weightedHomogeneousComponent_isWeightedHomogeneous :
   rw [coeff_weightedHomogeneousComponent, if_neg hd]
 #align mv_polynomial.weighted_homogeneous_component_is_weighted_homogeneous MvPolynomial.weightedHomogeneousComponent_isWeightedHomogeneous
 
+theorem weightedHomogeneousComponent_mem (w : σ → M) (φ : MvPolynomial σ R) (m : M) :
+    weightedHomogeneousComponent w m φ ∈ weightedHomogeneousSubmodule R w m := by
+  rw [mem_weightedHomogeneousSubmodule]
+  exact weightedHomogeneousComponent_isWeightedHomogeneous m φ
+
 @[simp]
 theorem weightedHomogeneousComponent_C_mul (n : M) (r : R) :
     weightedHomogeneousComponent w n (C r * φ) = C r * weightedHomogeneousComponent w n φ := by
@@ -365,7 +374,7 @@ set_option linter.uppercaseLean3 false in
 #align mv_polynomial.weighted_homogeneous_component_C_mul MvPolynomial.weightedHomogeneousComponent_C_mul
 
 theorem weightedHomogeneousComponent_eq_zero'
-    (h : ∀ d : σ →₀ ℕ, d ∈ φ.support → weightedDegree' w d ≠ n) :
+    (h : ∀ d : σ →₀ ℕ, d ∈ φ.support → weightedDegree w d ≠ n) :
     weightedHomogeneousComponent w n φ = 0 := by
   classical
   rw [weightedHomogeneousComponent_apply, sum_eq_zero]
@@ -389,8 +398,8 @@ theorem weightedHomogeneousComponent_finsupp :
     (Function.support fun m => weightedHomogeneousComponent w m φ).Finite := by
   suffices
     (Function.support fun m => weightedHomogeneousComponent w m φ) ⊆
-      (fun d => weightedDegree' w d) '' φ.support by
-    exact Finite.subset ((fun d : σ →₀ ℕ => (weightedDegree' w) d) '' ↑(support φ)).toFinite this
+      (fun d => weightedDegree w d) '' φ.support by
+    exact Finite.subset ((fun d : σ →₀ ℕ => (weightedDegree w) d) '' ↑(support φ)).toFinite this
   intro m hm
   by_contra hm'
   apply hm
@@ -408,20 +417,47 @@ theorem sum_weightedHomogeneousComponent :
   rw [finsum_eq_sum _ (weightedHomogeneousComponent_finsupp φ)]
   ext1 d
   simp only [coeff_sum, coeff_weightedHomogeneousComponent]
-  rw [Finset.sum_eq_single (weightedDegree' w d)]
+  rw [Finset.sum_eq_single (weightedDegree w d)]
   · rw [if_pos rfl]
   · intro m _ hm'
     rw [if_neg hm'.symm]
   · intro hm
     rw [if_pos rfl]
     simp only [Finite.mem_toFinset, mem_support, Ne, Classical.not_not] at hm
-    have := coeff_weightedHomogeneousComponent (w := w) (weightedDegree' w d) φ d
+    have := coeff_weightedHomogeneousComponent (w := w) (weightedDegree w d) φ d
     rw [hm, if_pos rfl, coeff_zero] at this
     exact this.symm
 #align mv_polynomial.sum_weighted_homogeneous_component MvPolynomial.sum_weightedHomogeneousComponent
 
+theorem finsum_weightedHomogeneousComponent :
+    (finsum fun m => weightedHomogeneousComponent w m φ) = φ := by
+  rw [sum_weightedHomogeneousComponent]
+
 variable {w}
 
+theorem IsWeightedHomogeneous.weightedHomogeneousComponent_same {m : M} {p : MvPolynomial σ R}
+    (hp : IsWeightedHomogeneous w p m) :
+    weightedHomogeneousComponent w m p = p := by
+  classical
+  ext x
+  rw [coeff_weightedHomogeneousComponent]
+  by_cases zero_coeff : coeff x p = 0
+  · split_ifs
+    rfl; rw [zero_coeff]
+  · rw [hp zero_coeff, if_pos]; rfl
+
+theorem IsWeightedHomogeneous.weightedHomogeneousComponent_ne {m : M} (n : M)
+    {p : MvPolynomial σ R} (hp : IsWeightedHomogeneous w p m) :
+    n ≠ m → weightedHomogeneousComponent w n p = 0 := by
+  classical
+  intro hn
+  ext x
+  rw [coeff_weightedHomogeneousComponent]
+  by_cases zero_coeff : coeff x p = 0
+  · split_ifs
+    rw [zero_coeff]; rw [coeff_zero]; rw [coeff_zero]
+  · rw [if_neg]; rw [coeff_zero]; rw [hp zero_coeff]; exact Ne.symm hn
+
 /-- The weighted homogeneous components of a weighted homogeneous polynomial. -/
 theorem weightedHomogeneousComponent_weighted_homogeneous_polynomial [DecidableEq M] (m n : M)
     (p : MvPolynomial σ R) (h : p ∈ weightedHomogeneousSubmodule R w n) :
@@ -457,14 +493,71 @@ theorem weightedHomogeneousComponent_zero [NoZeroSMulDivisors ℕ M] (hw : ∀ i
   rcases Classical.em (d = 0) with (rfl | hd)
   · simp only [coeff_weightedHomogeneousComponent, if_pos, map_zero, coeff_zero_C]
   · rw [coeff_weightedHomogeneousComponent, if_neg, coeff_C, if_neg (Ne.symm hd)]
-    simp only [weightedDegree', LinearMap.toAddMonoidHom_coe, Finsupp.total_apply, Finsupp.sum,
-      sum_eq_zero_iff, Finsupp.mem_support_iff, Ne, smul_eq_zero, not_forall, not_or,
+    simp only [weightedDegree, LinearMap.toAddMonoidHom_coe, Finsupp.total_apply, Finsupp.sum,
+      sum_eq_zero_iff, Finsupp.mem_support_iff, Ne.def, smul_eq_zero, not_forall, not_or,
       and_self_left, exists_prop]
     simp only [DFunLike.ext_iff, Finsupp.coe_zero, Pi.zero_apply, not_forall] at hd
     obtain ⟨i, hi⟩ := hd
     exact ⟨i, hi, hw i⟩
 #align mv_polynomial.weighted_homogeneous_component_zero MvPolynomial.weightedHomogeneousComponent_zero
 
+/-- A weight function is nontorsion if its values are not torsion. -/
+def NonTorsionWeight (w : σ → M) :=
+  ∀ n x, n • w x = (0 : M) → n = 0
+
+theorem nonTorsionWeight_of [NoZeroSMulDivisors ℕ M] (hw : ∀ i : σ, w i ≠ 0) :
+    NonTorsionWeight w := by
+  intro n x
+  rw [smul_eq_zero]
+  intro hnx
+  cases' hnx with hn hx
+  · exact hn
+  · exact absurd hx (hw x)
+
 end CanonicallyOrderedAddCommMonoid
 
+section CanonicallyLinearOrderedMonoid
+
+variable [CanonicallyLinearOrderedAddCommMonoid M] {w : σ → M} (φ : MvPolynomial σ R)
+
+/-- If `w` is a nontorsion weight function, then the finitely supported function `m : σ →₀ ℕ`
+  has weighted degree zero if and only if `∀ x : σ, m x = 0`. -/
+theorem weightedDegree_eq_zero_iff (hw : NonTorsionWeight w) {m : σ →₀ ℕ} :
+    weightedDegree w m = 0 ↔ ∀ x : σ, m x = 0 := by
+  simp only [weightedDegree, Finsupp.total, LinearMap.toAddMonoidHom_coe, coe_lsum,
+    LinearMap.coe_smulRight, LinearMap.id_coe, id_eq]
+  rw [Finsupp.sum, Finset.sum_eq_zero_iff]
+  apply forall_congr'
+  intro x
+  rw [Finsupp.mem_support_iff]
+  constructor
+  · intro hx
+    by_contra hx'
+    exact absurd (hw _ _ (hx hx')) hx'
+  · intro hax _
+    simp only [hax, zero_smul]
+
+/-- A multivatiate polynomial is weighted homogeneous of weighted degree zero if and only if
+  its weighted total degree is equal to zero. -/
+theorem isWeightedHomogeneous_zero_iff_weightedTotalDegree_eq_zero {p : MvPolynomial σ R} :
+    IsWeightedHomogeneous w p 0 ↔ p.weightedTotalDegree w = 0 := by
+  rw [weightedTotalDegree, ← bot_eq_zero, Finset.sup_eq_bot_iff, bot_eq_zero, IsWeightedHomogeneous]
+  apply forall_congr'
+  intro m
+  rw [mem_support_iff]
+
+/-- If `w` is a nontorsion weight function, then a multivariate polynomial has weighted total
+  degree zero if and only if for every `m ∈ p.support` and `x : σ`, `m x = 0`. -/
+theorem weightedTotalDegree_eq_zero_iff (hw : NonTorsionWeight w) (p : MvPolynomial σ R) :
+    p.weightedTotalDegree w = 0 ↔ ∀ (m : σ →₀ ℕ) (_ : m ∈ p.support) (x : σ), m x = 0 := by
+  rw [← isWeightedHomogeneous_zero_iff_weightedTotalDegree_eq_zero, IsWeightedHomogeneous]
+  apply forall_congr'
+  intro m
+  rw [mem_support_iff]
+  apply forall_congr'
+  intro _
+  exact weightedDegree_eq_zero_iff hw
+
+end CanonicallyLinearOrderedMonoid
+
 end MvPolynomial

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

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Antoine Chambert-Loir, María Inés de Frutos-Fernández
 -/
 import Mathlib.Algebra.GradedMonoid
-import Mathlib.Data.MvPolynomial.Basic
+import Mathlib.Algebra.MvPolynomial.Basic
 
 #align_import ring_theory.mv_polynomial.weighted_homogeneous from "leanprover-community/mathlib"@"2f5b500a507264de86d666a5f87ddb976e2d8de4"
 

@@ -101,7 +101,7 @@ def weightedTotalDegree (w : σ → M) (p : MvPolynomial σ R) : M :=
 /-- This lemma relates `weightedTotalDegree` and `weightedTotalDegree'`. -/
 theorem weightedTotalDegree_coe (w : σ → M) (p : MvPolynomial σ R) (hp : p ≠ 0) :
     weightedTotalDegree' w p = ↑(weightedTotalDegree w p) := by
-  rw [Ne.def, ← weightedTotalDegree'_eq_bot_iff w p, ← Ne.def, WithBot.ne_bot_iff_exists] at hp
+  rw [Ne, ← weightedTotalDegree'_eq_bot_iff w p, ← Ne, WithBot.ne_bot_iff_exists] at hp
   obtain ⟨m, hm⟩ := hp
   apply le_antisymm
   · simp only [weightedTotalDegree, weightedTotalDegree', Finset.sup_le_iff, WithBot.coe_le_coe]
@@ -184,7 +184,7 @@ theorem weightedHomogeneousSubmodule_mul (w : σ → M) (m n : M) :
   have aux : coeff d φ ≠ 0 ∧ coeff e ψ ≠ 0 := by
     contrapose! H
     by_cases h : coeff d φ = 0 <;>
-      simp_all only [Ne.def, not_false_iff, zero_mul, mul_zero]
+      simp_all only [Ne, not_false_iff, zero_mul, mul_zero]
   rw [← mem_antidiagonal.mp hde, ← hφ aux.1, ← hψ aux.2, map_add]
 #align mv_polynomial.weighted_homogeneous_submodule_mul MvPolynomial.weightedHomogeneousSubmodule_mul
 
@@ -394,7 +394,7 @@ theorem weightedHomogeneousComponent_finsupp :
   intro m hm
   by_contra hm'
   apply hm
-  simp only [mem_support, Ne.def] at hm
+  simp only [mem_support, Ne] at hm
   simp only [Set.mem_image, not_exists, not_and] at hm'
   exact weightedHomogeneousComponent_eq_zero' m φ hm'
 #align mv_polynomial.weighted_homogeneous_component_finsupp MvPolynomial.weightedHomogeneousComponent_finsupp
@@ -414,7 +414,7 @@ theorem sum_weightedHomogeneousComponent :
     rw [if_neg hm'.symm]
   · intro hm
     rw [if_pos rfl]
-    simp only [Finite.mem_toFinset, mem_support, Ne.def, Classical.not_not] at hm
+    simp only [Finite.mem_toFinset, mem_support, Ne, Classical.not_not] at hm
     have := coeff_weightedHomogeneousComponent (w := w) (weightedDegree' w d) φ d
     rw [hm, if_pos rfl, coeff_zero] at this
     exact this.symm
@@ -458,7 +458,7 @@ theorem weightedHomogeneousComponent_zero [NoZeroSMulDivisors ℕ M] (hw : ∀ i
   · simp only [coeff_weightedHomogeneousComponent, if_pos, map_zero, coeff_zero_C]
   · rw [coeff_weightedHomogeneousComponent, if_neg, coeff_C, if_neg (Ne.symm hd)]
     simp only [weightedDegree', LinearMap.toAddMonoidHom_coe, Finsupp.total_apply, Finsupp.sum,
-      sum_eq_zero_iff, Finsupp.mem_support_iff, Ne.def, smul_eq_zero, not_forall, not_or,
+      sum_eq_zero_iff, Finsupp.mem_support_iff, Ne, smul_eq_zero, not_forall, not_or,
       and_self_left, exists_prop]
     simp only [DFunLike.ext_iff, Finsupp.coe_zero, Pi.zero_apply, not_forall] at hd
     obtain ⟨i, hi⟩ := hd

Empty lines were removed by executing the following Python script twice

import os
import re


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

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

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

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

@@ -242,7 +242,6 @@ set_option linter.uppercaseLean3 false in
 namespace IsWeightedHomogeneous
 
 variable {R}
-
 variable {φ ψ : MvPolynomial σ R} {m n : M}
 
 /-- The weighted degree of a weighted homogeneous polynomial controls its support. -/

This doesn't have any significant downstream fallout, and removes some subsingleton elimination from one or two proofs.

This enables some trivial computations on factorizations, eg finding the odd prime factors:

/-- info: fun₀ | 3 => 2 | 5 => 1 -/
#guard_msgs in
#eval (Nat.factorization 720).filter Odd

Zulip thread

@@ -326,6 +326,7 @@ variable {R}
   See `sum_weightedHomogeneousComponent` for the statement that `φ` is equal to the sum
   of all its weighted homogeneous components. -/
 def weightedHomogeneousComponent (w : σ → M) (n : M) : MvPolynomial σ R →ₗ[R] MvPolynomial σ R :=
+  letI := Classical.decEq M
   (Submodule.subtype _).comp <| Finsupp.restrictDom _ _ { d | weightedDegree' w d = n }
 #align mv_polynomial.weighted_homogeneous_component MvPolynomial.weightedHomogeneousComponent
 
@@ -336,13 +337,15 @@ variable {w : σ → M} (n : M) (φ ψ : MvPolynomial σ R)
 theorem coeff_weightedHomogeneousComponent [DecidableEq M] (d : σ →₀ ℕ) :
     coeff d (weightedHomogeneousComponent w n φ) =
       if weightedDegree' w d = n then coeff d φ else 0 :=
-  Finsupp.filter_apply (fun d : σ →₀ ℕ => weightedDegree' w d = n) φ d
+  letI := Classical.decEq M
+  Finsupp.filter_apply (fun d : σ →₀ ℕ => weightedDegree' w d = n) φ d |>.trans <| by convert rfl
 #align mv_polynomial.coeff_weighted_homogeneous_component MvPolynomial.coeff_weightedHomogeneousComponent
 
 theorem weightedHomogeneousComponent_apply [DecidableEq M] :
     weightedHomogeneousComponent w n φ =
       ∑ d in φ.support.filter fun d => weightedDegree' w d = n, monomial d (coeff d φ) :=
-  Finsupp.filter_eq_sum (fun d : σ →₀ ℕ => weightedDegree' w d = n) φ
+  letI := Classical.decEq M
+  Finsupp.filter_eq_sum (fun d : σ →₀ ℕ => weightedDegree' w d = n) φ |>.trans <| by convert rfl
 #align mv_polynomial.weighted_homogeneous_component_apply MvPolynomial.weightedHomogeneousComponent_apply
 
 /-- The `n` weighted homogeneous component of a polynomial is weighted homogeneous of

This uses the improved shake script from #9772 to reduce imports across mathlib. The corresponding noshake.json file has been added to #9772.

Co-authored-by: Mario Carneiro <di.gama@gmail.com>

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Antoine Chambert-Loir, María Inés de Frutos-Fernández
 -/
 import Mathlib.Algebra.GradedMonoid
-import Mathlib.Data.MvPolynomial.Variables
+import Mathlib.Data.MvPolynomial.Basic
 
 #align_import ring_theory.mv_polynomial.weighted_homogeneous from "leanprover-community/mathlib"@"2f5b500a507264de86d666a5f87ddb976e2d8de4"
 

This prepares for the introduction of a non-dependent synonym of FunLike, which helps a lot with keeping #8386 readable.

This is entirely search-and-replace in 680197f combined with manual fixes in 4145626, e900597 and b8428f8. The commands that generated this change:

sed -i 's/\bFunLike\b/DFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/\btoFunLike\b/toDFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/import Mathlib.Data.DFunLike/import Mathlib.Data.FunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/\bHom_FunLike\b/Hom_DFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean     
sed -i 's/\binstFunLike\b/instDFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/\bfunLike\b/instDFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/\btoo many metavariables to apply `fun_like.has_coe_to_fun`/too many metavariables to apply `DFunLike.hasCoeToFun`/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean

Co-authored-by: Anne Baanen <Vierkantor@users.noreply.github.com>

@@ -458,7 +458,7 @@ theorem weightedHomogeneousComponent_zero [NoZeroSMulDivisors ℕ M] (hw : ∀ i
     simp only [weightedDegree', LinearMap.toAddMonoidHom_coe, Finsupp.total_apply, Finsupp.sum,
       sum_eq_zero_iff, Finsupp.mem_support_iff, Ne.def, smul_eq_zero, not_forall, not_or,
       and_self_left, exists_prop]
-    simp only [FunLike.ext_iff, Finsupp.coe_zero, Pi.zero_apply, not_forall] at hd
+    simp only [DFunLike.ext_iff, Finsupp.coe_zero, Pi.zero_apply, not_forall] at hd
     obtain ⟨i, hi⟩ := hd
     exact ⟨i, hi, hw i⟩
 #align mv_polynomial.weighted_homogeneous_component_zero MvPolynomial.weightedHomogeneousComponent_zero

We define a type class Finset.HasAntidiagonal A which contains a function antidiagonal : A → Finset (A × A) such that antidiagonal n is the Finset of all pairs adding to n, as witnessed by mem_antidiagonal.

When A is a canonically ordered add monoid with locally finite order this typeclass can be instantiated with Finset.antidiagonalOfLocallyFinite. This applies in particular when A is ℕ, more generally or σ →₀ ℕ, or even ι →₀ A under the additional assumption OrderedSub A that make it a canonically ordered add monoid. (In fact, we would just need an AddMonoid with a compatible order, finite Iic, such that if a + b = n, then a, b ≤ n, and any finiteness condition would be OK.)

For computational reasons it is better to manually provide instances for ℕ and σ →₀ ℕ, to avoid quadratic runtime performance. These instances are provided as Finset.Nat.instHasAntidiagonal and Finsupp.instHasAntidiagonal. This is why Finset.antidiagonalOfLocallyFinite is an abbrev and not an instance.

This definition does not exactly match with that of Multiset.antidiagonal defined in Mathlib.Data.Multiset.Antidiagonal, because of the multiplicities. Indeed, by counting multiplicities, Multiset α is equivalent to α →₀ ℕ, but Finset.antidiagonal and Multiset.antidiagonal will return different objects. For example, for s : Multiset ℕ := {0,0,0}, Multiset.antidiagonal s has 8 elements but Finset.antidiagonal s has only 4.

def s : Multiset ℕ := {0, 0, 0}
#eval (Finset.antidiagonal s).card -- 4
#eval Multiset.card (Multiset.antidiagonal s) -- 8

TODO

• Define HasMulAntidiagonal (for monoids). For PNat, we will recover the set of divisors of a strictly positive integer.

This closes #7917

Co-authored by: María Inés de Frutos-Fernández <mariaines.dff@gmail.com> and Eric Wieser <efw27@cam.ac.uk>

Co-authored-by: Antoine Chambert-Loir <antoine.chambert-loir@math.univ-paris-diderot.fr> Co-authored-by: Mario Carneiro <di.gama@gmail.com> Co-authored-by: Eric Wieser <wieser.eric@gmail.com>

@@ -185,7 +185,7 @@ theorem weightedHomogeneousSubmodule_mul (w : σ → M) (m n : M) :
     contrapose! H
     by_cases h : coeff d φ = 0 <;>
       simp_all only [Ne.def, not_false_iff, zero_mul, mul_zero]
-  rw [← Finsupp.mem_antidiagonal.mp hde, ← hφ aux.1, ← hψ aux.2, map_add]
+  rw [← mem_antidiagonal.mp hde, ← hφ aux.1, ← hψ aux.2, map_add]
 #align mv_polynomial.weighted_homogeneous_submodule_mul MvPolynomial.weightedHomogeneousSubmodule_mul
 
 /-- Monomials are weighted homogeneous. -/

Renames:

CanonicallyOrderedMonoid -> CanonicallyOrderedCommMonoid

CanonicallyOrderedAddMonoid -> CanonicallyOrderedAddCommMonoid

CanonicallyLinearOrderedMonoid -> CanonicallyLinearOrderedCommMonoid

CanonicallyLinearOrderedAddMonoid -> CanonicallyLinearOrderedAddCommMonoid

@@ -441,11 +441,11 @@ end WeightedHomogeneousComponent
 
 end AddCommMonoid
 
-section CanonicallyOrderedAddMonoid
+section CanonicallyOrderedAddCommMonoid
 
-variable [CanonicallyOrderedAddMonoid M] {w : σ → M} (φ : MvPolynomial σ R)
+variable [CanonicallyOrderedAddCommMonoid M] {w : σ → M} (φ : MvPolynomial σ R)
 
-/-- If `M` is a `CanonicallyOrderedAddMonoid`, then the `weightedHomogeneousComponent`
+/-- If `M` is a `CanonicallyOrderedAddCommMonoid`, then the `weightedHomogeneousComponent`
   of weighted degree `0` of a polynomial is its constant coefficient. -/
 @[simp]
 theorem weightedHomogeneousComponent_zero [NoZeroSMulDivisors ℕ M] (hw : ∀ i : σ, w i ≠ 0) :
@@ -463,6 +463,6 @@ theorem weightedHomogeneousComponent_zero [NoZeroSMulDivisors ℕ M] (hw : ∀ i
     exact ⟨i, hi, hw i⟩
 #align mv_polynomial.weighted_homogeneous_component_zero MvPolynomial.weightedHomogeneousComponent_zero
 
-end CanonicallyOrderedAddMonoid
+end CanonicallyOrderedAddCommMonoid
 
 end MvPolynomial

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

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

@@ -184,7 +184,7 @@ theorem weightedHomogeneousSubmodule_mul (w : σ → M) (m n : M) :
   have aux : coeff d φ ≠ 0 ∧ coeff e ψ ≠ 0 := by
     contrapose! H
     by_cases h : coeff d φ = 0 <;>
-      simp_all only [Ne.def, not_false_iff, MulZeroClass.zero_mul, MulZeroClass.mul_zero]
+      simp_all only [Ne.def, not_false_iff, zero_mul, mul_zero]
   rw [← Finsupp.mem_antidiagonal.mp hde, ← hφ aux.1, ← hψ aux.2, map_add]
 #align mv_polynomial.weighted_homogeneous_submodule_mul MvPolynomial.weightedHomogeneousSubmodule_mul
 

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

This has nice performance benefits.

@@ -47,11 +47,11 @@ open BigOperators
 
 open Set Function Finset Finsupp AddMonoidAlgebra
 
-variable {R M : Type _} [CommSemiring R]
+variable {R M : Type*} [CommSemiring R]
 
 namespace MvPolynomial
 
-variable {σ : Type _}
+variable {σ : Type*}
 
 section AddCommMonoid
 
@@ -268,7 +268,7 @@ theorem add {w : σ → M} (hφ : IsWeightedHomogeneous w φ n) (hψ : IsWeighte
 
 /-- The sum of weighted homogeneous polynomials of degree `n` is weighted homogeneous of
   weighted degree `n`. -/
-theorem sum {ι : Type _} (s : Finset ι) (φ : ι → MvPolynomial σ R) (n : M) {w : σ → M}
+theorem sum {ι : Type*} (s : Finset ι) (φ : ι → MvPolynomial σ R) (n : M) {w : σ → M}
     (h : ∀ i ∈ s, IsWeightedHomogeneous w (φ i) n) : IsWeightedHomogeneous w (∑ i in s, φ i) n :=
   (weightedHomogeneousSubmodule R w n).sum_mem h
 #align mv_polynomial.is_weighted_homogeneous.sum MvPolynomial.IsWeightedHomogeneous.sum
@@ -282,7 +282,7 @@ theorem mul {w : σ → M} (hφ : IsWeightedHomogeneous w φ m) (hψ : IsWeighte
 
 /-- A product of weighted homogeneous polynomials is weighted homogeneous, with weighted degree
   equal to the sum of the weighted degrees. -/
-theorem prod {ι : Type _} (s : Finset ι) (φ : ι → MvPolynomial σ R) (n : ι → M) {w : σ → M} :
+theorem prod {ι : Type*} (s : Finset ι) (φ : ι → MvPolynomial σ R) (n : ι → M) {w : σ → M} :
     (∀ i ∈ s, IsWeightedHomogeneous w (φ i) (n i)) →
       IsWeightedHomogeneous w (∏ i in s, φ i) (∑ i in s, n i) := by
   classical

In Lean 3, the computability of Finsupp.toMultiset was poisoned by the AddMonoid (α →₀ ℕ) instance, even though this was not used in computation. This is no longer the case in Lean 4, so we can make this computable by adding a DecidableEq α argument.

We loosely follow the pattern used with DFinsupp, where we split the declaration in two, as only one direction needs DecidableEq α. As a result, Finsupp.toMultiset is now only an AddMonoidHom, though Multiset.toFinset remains an equiv.

We're missing some of the formatting infrastructure for this to be pretty, but this now works:

#eval ((Finsupp.mk Finset.univ ![1, 2, 3] sorry).antidiagonal).image
  fun x : _ × _ => (x.1.toFun, x.2.toFun)

@@ -176,6 +176,7 @@ variable {R}
 theorem weightedHomogeneousSubmodule_mul (w : σ → M) (m n : M) :
     weightedHomogeneousSubmodule R w m * weightedHomogeneousSubmodule R w n ≤
       weightedHomogeneousSubmodule R w (m + n) := by
+  classical
   rw [Submodule.mul_le]
   intro φ hφ ψ hψ c hc
   rw [coeff_mul] at hc

• depends on: #5966

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

@@ -2,15 +2,12 @@
 Copyright (c) 2022 María Inés de Frutos-Fernández. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Antoine Chambert-Loir, María Inés de Frutos-Fernández
-
-! This file was ported from Lean 3 source module ring_theory.mv_polynomial.weighted_homogeneous
-! leanprover-community/mathlib commit 2f5b500a507264de86d666a5f87ddb976e2d8de4
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Algebra.GradedMonoid
 import Mathlib.Data.MvPolynomial.Variables
 
+#align_import ring_theory.mv_polynomial.weighted_homogeneous from "leanprover-community/mathlib"@"2f5b500a507264de86d666a5f87ddb976e2d8de4"
+
 /-!
 # Weighted homogeneous polynomials
 

Run codespell Mathlib and keep some suggestions.

@@ -20,7 +20,7 @@ respect to the weights of the variables. The weights are represented by a functi
 where `σ` are the indeterminates.
 
 A multivariate polynomial `φ` is weighted homogeneous of weighted degree `m : M` if all monomials
-occuring in `φ` have the same weighted degree `m`.
+occurring in `φ` have the same weighted degree `m`.
 
 ## Main definitions/lemmas
 
@@ -131,7 +131,7 @@ end OrderBot
 end SemilatticeSup
 
 /-- A multivariate polynomial `φ` is weighted homogeneous of weighted degree `m` if all monomials
-  occuring in `φ` have weighted degree `m`. -/
+  occurring in `φ` have weighted degree `m`. -/
 def IsWeightedHomogeneous (w : σ → M) (φ : MvPolynomial σ R) (m : M) : Prop :=
   ∀ ⦃d⦄, coeff d φ ≠ 0 → weightedDegree' w d = m
 #align mv_polynomial.is_weighted_homogeneous MvPolynomial.IsWeightedHomogeneous

• Run a non-interactive version of fix-comments.py on all files.
• Go through the diff and manually add/discard/edit chunks.

@@ -25,7 +25,7 @@ occuring in `φ` have the same weighted degree `m`.
 ## Main definitions/lemmas
 
 * `weightedTotalDegree' w φ` : the weighted total degree of a multivariate polynomial with respect
-to the weights `w`, taking values in `with_bot M`.
+to the weights `w`, taking values in `WithBot M`.
 
 * `weightedTotalDegree w φ` : When `M` has a `⊥` element, we can define the weighted total degree
 of a multivariate polynomial as a function taking values in `M`.

I've been someone sloppy about forward-porting the exact mathport here; a lot of the classical additions result in the whole proof being indented, which IMO just adds noise to the diff.

What's important is that:

• open Classical is removed from all the same files
• [DecidableEq _] is added in the same position to all the same lemmas. In theory mathport will detect if we mess this up, so it's not essential to catch this in review. The linter will tell us if it is added unnecessarily, and the build will fail if is not added someewhere it is needed; so only the argument order is at risk of being wrong.
• The new foo_def lemmas are all added in variables.lean

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Antoine Chambert-Loir, María Inés de Frutos-Fernández
 
 ! This file was ported from Lean 3 source module ring_theory.mv_polynomial.weighted_homogeneous
-! leanprover-community/mathlib commit bcbee715ab85a4f516c814effdf232618c0322af
+! leanprover-community/mathlib commit 2f5b500a507264de86d666a5f87ddb976e2d8de4
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -46,7 +46,7 @@ components.
 
 noncomputable section
 
-open Classical BigOperators
+open BigOperators
 
 open Set Function Finset Finsupp AddMonoidAlgebra
 
@@ -193,6 +193,7 @@ theorem weightedHomogeneousSubmodule_mul (w : σ → M) (m n : M) :
 /-- Monomials are weighted homogeneous. -/
 theorem isWeightedHomogeneous_monomial (w : σ → M) (d : σ →₀ ℕ) (r : R) {m : M}
     (hm : weightedDegree' w d = m) : IsWeightedHomogeneous w (monomial d r) m := by
+  classical
   intro c hc
   rw [coeff_monomial] at hc
   split_ifs at hc with h
@@ -286,6 +287,7 @@ theorem mul {w : σ → M} (hφ : IsWeightedHomogeneous w φ m) (hψ : IsWeighte
 theorem prod {ι : Type _} (s : Finset ι) (φ : ι → MvPolynomial σ R) (n : ι → M) {w : σ → M} :
     (∀ i ∈ s, IsWeightedHomogeneous w (φ i) (n i)) →
       IsWeightedHomogeneous w (∏ i in s, φ i) (∑ i in s, n i) := by
+  classical
   refine Finset.induction_on s ?_ ?_
   · intro
     simp only [isWeightedHomogeneous_one, Finset.sum_empty, Finset.prod_empty]
@@ -333,13 +335,13 @@ section WeightedHomogeneousComponent
 
 variable {w : σ → M} (n : M) (φ ψ : MvPolynomial σ R)
 
-theorem coeff_weightedHomogeneousComponent (d : σ →₀ ℕ) :
+theorem coeff_weightedHomogeneousComponent [DecidableEq M] (d : σ →₀ ℕ) :
     coeff d (weightedHomogeneousComponent w n φ) =
       if weightedDegree' w d = n then coeff d φ else 0 :=
   Finsupp.filter_apply (fun d : σ →₀ ℕ => weightedDegree' w d = n) φ d
 #align mv_polynomial.coeff_weighted_homogeneous_component MvPolynomial.coeff_weightedHomogeneousComponent
 
-theorem weightedHomogeneousComponent_apply :
+theorem weightedHomogeneousComponent_apply [DecidableEq M] :
     weightedHomogeneousComponent w n φ =
       ∑ d in φ.support.filter fun d => weightedDegree' w d = n, monomial d (coeff d φ) :=
   Finsupp.filter_eq_sum (fun d : σ →₀ ℕ => weightedDegree' w d = n) φ
@@ -349,6 +351,7 @@ theorem weightedHomogeneousComponent_apply :
 weighted degree `n`. -/
 theorem weightedHomogeneousComponent_isWeightedHomogeneous :
     (weightedHomogeneousComponent w n φ).IsWeightedHomogeneous w n := by
+  classical
   intro d hd
   contrapose! hd
   rw [coeff_weightedHomogeneousComponent, if_neg hd]
@@ -364,6 +367,7 @@ set_option linter.uppercaseLean3 false in
 theorem weightedHomogeneousComponent_eq_zero'
     (h : ∀ d : σ →₀ ℕ, d ∈ φ.support → weightedDegree' w d ≠ n) :
     weightedHomogeneousComponent w n φ = 0 := by
+  classical
   rw [weightedHomogeneousComponent_apply, sum_eq_zero]
   intro d hd; rw [mem_filter] at hd
   exfalso; exact h _ hd.1 hd.2
@@ -371,11 +375,10 @@ theorem weightedHomogeneousComponent_eq_zero'
 
 theorem weightedHomogeneousComponent_eq_zero [SemilatticeSup M] [OrderBot M]
     (h : weightedTotalDegree w φ < n) : weightedHomogeneousComponent w n φ = 0 := by
+  classical
   rw [weightedHomogeneousComponent_apply, sum_eq_zero]
   intro d hd
-  have := @Finset.mem_filter _ _
-      (fun a => propDecidable ((fun d => weightedDegree' w d = n) a)) (support φ)
-  rw [this] at hd
+  rw [Finset.mem_filter] at hd
   exfalso
   apply lt_irrefl n
   nth_rw 1 [← hd.2]
@@ -401,6 +404,7 @@ variable (w)
 /-- Every polynomial is the sum of its weighted homogeneous components. -/
 theorem sum_weightedHomogeneousComponent :
     (finsum fun m => weightedHomogeneousComponent w m φ) = φ := by
+  classical
   rw [finsum_eq_sum _ (weightedHomogeneousComponent_finsupp φ)]
   ext1 d
   simp only [coeff_sum, coeff_weightedHomogeneousComponent]
@@ -419,7 +423,7 @@ theorem sum_weightedHomogeneousComponent :
 variable {w}
 
 /-- The weighted homogeneous components of a weighted homogeneous polynomial. -/
-theorem weightedHomogeneousComponent_weighted_homogeneous_polynomial (m n : M)
+theorem weightedHomogeneousComponent_weighted_homogeneous_polynomial [DecidableEq M] (m n : M)
     (p : MvPolynomial σ R) (h : p ∈ weightedHomogeneousSubmodule R w n) :
     weightedHomogeneousComponent w m p = if m = n then p else 0 := by
   simp only [mem_weightedHomogeneousSubmodule] at h
@@ -448,6 +452,7 @@ variable [CanonicallyOrderedAddMonoid M] {w : σ → M} (φ : MvPolynomial σ R)
 @[simp]
 theorem weightedHomogeneousComponent_zero [NoZeroSMulDivisors ℕ M] (hw : ∀ i : σ, w i ≠ 0) :
     weightedHomogeneousComponent w 0 φ = C (coeff 0 φ) := by
+  classical
   ext1 d
   rcases Classical.em (d = 0) with (rfl | hd)
   · simp only [coeff_weightedHomogeneousComponent, if_pos, map_zero, coeff_zero_C]

Co-authored-by: Parcly Taxel <reddeloostw@gmail.com> Co-authored-by: Moritz Firsching <firsching@google.com>